Analysis and Mathematical Physics

Papers
(The TQCC of Analysis and Mathematical Physics is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)
ArticleCitations
Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev–Petviashvili equation77
Optical solitons and other solutions to Kaup–Newell equation with Jacobi elliptic function expansion method54
A binary Darboux transformation for multicomponent NLS equations and their reductions42
Characterizations of the Lorentzian manifolds admitting a type of semi-symmetric metric connection37
Study on dynamic characteristics of a rotating cylindrical shell with uncertain parameters26
New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems20
A cardioid domain and starlike functions20
New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation20
Characterization of statistical convergence of complex uncertain double sequence20
A note on Fisher information hypocoercive decay for the linear Boltzmann equation19
Exact periodic cross-kink wave solutions for the (2+1)-dimensional Korteweg-de Vries equation19
Existence of solutions for singular double phase problems via the Nehari manifold method19
Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces18
Generalized Kantorovich forms of exponential sampling series18
Transcendental entire solutions for several quadratic binomial and trinomial PDEs with constant coefficients17
Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) system17
The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles16
Least-energy nodal solutions of critical Kirchhoff problems with logarithmic nonlinearity15
Refined Bohr-type inequalities with area measure for bounded analytic functions15
The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces15
The spectral theorem for normal operators on a Clifford module14
Boas-type theorems for the q-Bessel Fourier transform13
Bohr radius for certain classes of close-to-convex harmonic mappings13
A note on almost Ricci solitons13
Boundedness of Calderón–Zygmund operators on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes13
Liouvillian integrability of the generalized Duffing oscillators12
On fractional Orlicz–Sobolev spaces12
Spectral properties of the logarithmic Laplacian12
Interpolative gap bounds for nonautonomous integrals12
Korovkin type theorem for Bernstein–Kantorovich operators via power summability method12
Multiple orthogonal polynomials: Pearson equations and Christoffel formulas11
On Hilbert and Riemann problems for generalized analytic functions and applications11
Soliton solutions of generalized $$(3+1)$$-dimensional Yu–Toda–Sasa–Fukuyama equation using Lie symmetry analysis11
Logarithmic Hölder continuous mappings and Beltrami equation11
Localized John–Nirenberg–Campanato spaces10
Delta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanish10
Ground state solutions of the non-autonomous Schrödinger–Bopp–Podolsky system10
Extension of isometries from the unit sphere of a rank-2 Cartan factor9
Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit9
Topological mappings of finite area distortion9
Systems of simultaneous differential inequalities, inclusions and subordinations in the complex plane9
Regularity of Fourier integral operators with amplitudes in general Hörmander classes9
Riemann–Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation9
Double-periodic soliton solutions for the new (2 + 1)-dimensional KdV equation in fluid flows and plasma physics8
Inverse spectral problems for Hill-type operators with frozen argument8
Spectral data characterization for the Sturm–Liouville operator on the star-shaped graph8
On synchronization in Kuramoto models on spheres8
On boundary confinements for the Coulomb gas8
Anisotropic double-phase problems with indefinite potential: multiplicity of solutions8
Fractional Choquard-Kirchhoff problems with critical nonlinearity and Hardy potential8
Inverse problem solution and spectral data characterization for the matrix Sturm–Liouville operator with singular potential8
On matrix-valued wave packet frames in $$L^2({\mathbb {R}}^d, {\mathbb {C}}^{s\times r})$$8
N-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation8
The nonlinear Schrödinger equation on the half-line with a Robin boundary condition8
The fourth-order Hermitian Toeplitz determinant for convex functions7
Cesàro-like operators acting on spaces of analytic functions7
Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in $$ {\mathbb {C}}^2 $$7
Recursion operators in the cotangent covering of the rdDym equation7
The initial-boundary value problems of the new two-component generalized Sasa–Satsuma equation with a $$4\times 4$$ matrix Lax pair7
Local regularity of axisymmetric solutions to the Navier–Stokes equations7
Teichmüller spaces and coefficient problems for univalent holomorphic functions7
Fractional multiresolution analysis and associated scaling functions in $$L^{2}({\mathbb {R}})$$7
Solving the modified complex short pulse equation of focusing type: a Riemann–Hilbert approach7
Algebraic approach to the Dunkl–Coulomb problem and Dunkl oscillator in arbitrary dimensions7
Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay7
Approximation by exponential sampling type neural network operators7
Finitely bi-Lipschitz homeomorphisms between Finsler manifolds7
Polyanalytic boundary value problems for planar domains with harmonic Green function7
On the behaviour of analytic representation of the generalized Pascal snail7
Inverse resonance scattering for Dirac operators on the half-line6
On solutions for several systems of complex nonlinear partial differential equations with two variables6
Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields6
Higher order difference operators and uniqueness of meromorphic functions6
Fekete–Szegö problem for Bavrin’s functions and close-to-starlike mappings in $${\mathbb {C}}^{n}$$6
The Funk–Radon transform for hyperplane sections through a common point6
Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions6
$$C^*$$-fermi systems and detailed balance6
Padé approximants on Riemann surfaces and KP tau functions6
Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents6
Carleson measures and the range of a Cesàro-like operator acting on $$H^\infty $$6
On a Schrödinger system arizing in nonlinear optics6
Lower bounds on the radius of spatial analyticity for the Kawahara equation5
Dynamics and synchronization of complex neural networks with boundary coupling5
Starlike functions associated with the generalized Koebe function5
Nehari manifold and fractional Dirichlet boundary value problem5
Fractional glassy relaxation and convolution modules of distributions5
Positive definiteness for 4th order symmetric tensors and applications5
Well-posedness for Hardy–Hénon parabolic equations with fractional Brownian noise5
Riesz bases of normalized reproducing kernels in Fock type spaces5
Semiclassical spectral analysis of the Bochner–Schrödinger operator on symplectic manifolds of bounded geometry5
Successive coefficients of functions in classes defined by subordination5
A series expansion for generalized harmonic functions5
Selected results and open problems on Hardy–Rellich and Poincaré–Friedrichs inequalities5
Threshold condensation to singular support for a Riesz equilibrium problem5
On Mellin transforms of solutions of differential equation $$\chi ^{(n)}(x)+\gamma _{n}x\chi (x)=0$$5
Characterization of the boundedness of fractional maximal operator and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type5
Existence of solutions for some systems of integro-differential equations with transport and superdiffusion5
Liouville theorems for nonnegative solutions to static weighted Schrödinger–Hartree–Maxwell type equations with combined nonlinearities5
A concept of weak Riesz energy with application to condensers with touching plates4
Solvability of some integro-differential equations with anomalous diffusion and transport4
Approximation of discontinuous functions by Kantorovich exponential sampling series4
Exact solutions and conservation laws of multi Kaup–Boussinesq system with fractional order4
Fischer–Marsden conjecture on real hypersurfaces in the complex hyperbolic two-plane Grassmannians4
On the number of concentrating solutions of a fractional Schrödinger–Poisson system with doubly critical growth4
Bidiagonal factorization of tetradiagonal matrices and Darboux transformations4
Starlikeness of certain non-univalent functions4
Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein–Gordon equations4
A Liouville type theorem for the stationary compressible Navier–Stokes equations4
Weighted integrability of Fourier-Dunkl transforms and generalized Lipschitz classes4
Coupled discrete Sawada–Kotera equations and their explicit quasi-periodic solutions4
KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model4
$${\mathbb {L}}^p$$-solutions of deterministic and stochastic convective Brinkman–Forchheimer equations4
Spectral and soliton structures of the Sasa–Satsuma higher-order nonlinear Schrödinger equation4
An interior inverse Sturm–Liouville problem on a time scale4
Positivity of certain classes of functions related to the Fox H-functions with applications4
Integrability structures of the generalized Hunter–Saxton equation4
Singular integral operators and a $${\overline{\partial }}$$-problem for $$(\varphi ,\psi )$$-harmonic functions4
Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents4
Periodic solutions to Navier-Stokes equations on non-compact Einstein manifolds with negative curvature4
Riemann–Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation4
On spectral asymptotic of quasi-exactly solvable quartic potential4
Envelope of plurisubharmonic functions in Cegrell’s classes3
Nonexistence for nonlinear hyperbolic inequalities in an annulus3
On the role of the point at infinity in Deny’s principle of positivity of mass for Riesz potentials3
Non-commutative integrability, exact solvability and the Hamilton–Jacobi theory3
Holomorphic functions, relativistic sum, Blaschke products and superoscillations3
Modified constrained KP hierarchy and bi-Hamiltonian structures3
A new application of almost increasing sequences to factored infinite series3
Lagrangian extensions of multi-dimensional integrable equations. I. The five-dimensional Martínez Alonso–Shabat equation3
Existence and multiplicity for fractional p-Kirchhoff problem with competitive nonlinearities and critical growth3
A sequence of Appell polynomials and the associated Jakimovski–Leviatan operators3
Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems3
A geometric construction of isospectral magnetic graphs3
Modified inertial projection and contraction algorithms for solving variational inequality problems with non-Lipschitz continuous operators3
Uniform approximation by multivariate quasi-projection operators3
On the Koebe Quarter Theorem for certain polynomials3
On semi-exponential Gauss–Weierstrass operators3
Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials3
On the eigenvalues of the Robin Laplacian with a complex parameter3
Bernstein spaces on Siegel CR manifolds3
RKH spaces of Brownian type defined by Cesàro–Hardy operators3
Ground state solutions for a class of elliptic Dirichlet problems involving the p(x)-Laplacian3
Almost-Hermitian random matrices and bandlimited point processes3
Positive Liouville theorem and asymptotic behaviour for (p, A)-Laplacian type elliptic equations with Fuchsian potentials in Morrey space3
On two families of Funk-type transforms3
Multiple solutions for Robin (p, q)-equations plus an indefinite potential and a reaction concave near the origin3
A class of Hausdorff-Zhu operators3
Kowalewski top and complex Lie algebras3
Semi-classical Jacobi polynomials, Hankel determinants and asymptotics3
Positive energy representations of Sobolev diffeomorphism groups of the circle3
Kinky breather-wave and lump solutions to the (2 + 1)-dimensional Burgers equations3
On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis3
Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities3
Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form3
Dispersion for Schrödinger operators on regular trees3
An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble3
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces3
Some Liouville theorems for Hénon type equations in half-space with nonlinear boundary value conditions and finite Morse indices3
Fast computation of elastic and hydrodynamic potentials using approximate approximations3
Infinite order $$\Psi $$DOs: composition with entire functions, new Shubin-Sobolev spaces, and index theorem3
Static perfect fluid spacetimes on GRW spacetimes3
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