DOI10.1016/j.cnsns.2016.06.015zbMath1473.37081OpenAlexW2414983155MaRDI QIDQ2004847
Jia-Liang Ji, Zuo-nong Zhu
Publication date: 7 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.06.015
Integrable decomposition for the (2+1)-dimensional AKNS hierarchy and its applications ⋮
Bright soliton solutions to a nonlocal nonlinear Schrödinger equation of reverse-time type ⋮
The partial-rogue ripple solutions of nonlocal Kadomtsev-Petviashvili equation ⋮
Bright Soliton solutions to the nonlocal Manakov equations of reverse-space type ⋮
Inverse scattering transform and dynamics of soliton solutions for nonlocal focusing modified Korteweg-de Vries equation ⋮
Dynamics of solitons and breathers on a periodic waves background in the nonlocal Mel'nikov equation ⋮
\(N\)-fold Darboux transformation and exact solutions for the nonlocal Fokas-Lenells equation on the vanishing and plane wave backgrounds ⋮
Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ) ⋮
Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data ⋮
Solitons and symmetry reduction solutions of a nonlocal two‐mode Korteweg–de Vries equation ⋮
Inverse scattering transforms for the nonlocal Hirota–Maxwell–Bloch system ⋮
General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations ⋮
Integrable nonlinear Klein-Gordon systems with \(\mathcal{PT}\) nonlocality and/or space-time exchange nonlocality ⋮
Type \(( - \lambda, - \lambda^\ast)\) reduced nonlocal integrable mKdV equations and their soliton solutions ⋮
Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform ⋮
Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions ⋮
\( \overline{\partial} \)-dressing method for the nonlocal mKdV equation ⋮
Integrable nonlocal asymptotic reductions of physically significant nonlinear equations ⋮
Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation ⋮
Novel particular solutions, breathers, and rogue waves for an integrable nonlocal derivative nonlinear Schrödinger equation ⋮
Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations ⋮
Integrability and gauge equivalence of the reverse space-time nonlocal Sasa-Satsuma equation ⋮
\((2+1)\)-dimensional AKNS \((-N)\) systems. II ⋮
Reduced non-local integrable NLS hierarchies by pairs of local and non-local constraints ⋮
A generalized complex mKdV equation: Darboux transformations and explicit solutions ⋮
Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation ⋮
A vector general nonlinear Schrödinger equation with \((m+n)\) components ⋮
An effective approach for constructing novel KP-like equations ⋮
Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations ⋮
Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation ⋮
Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations ⋮
Binary Darboux transformation and new soliton solutions of the focusing nonlocal nonlinear Schrödinger equation ⋮
Reduced nonlocal integrable mKdV equations of type (−λ, λ) and their exact soliton solutions ⋮
Families of rational and semirational solutions of the partial reverse space-time nonlocal Mel'nikov equation ⋮
Rogue periodic waves of the sine-Gordon equation ⋮
Discrete solutions and interaction dynamics for coupled nonlocal discrete nonlinear Schrödinger equations in an inhomogeneous optical fiber ⋮
Quasi-periodic waves and asymptotic behavior for a coupled nonlinear Klein-Gordon equation ⋮
Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation ⋮
Darboux transformation and soliton solutions for a nonlocal two-component complex modified Korteweg-de Vries equation ⋮
Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation ⋮
Reduced AKNS spectral problems and associated complex matrix integrable models ⋮
Solutions to the complex shifted reverse space-time modified Korteweg-de Vries equation ⋮
Integrable nonlocal nonlinear Schrödinger hierarchies of type \((-\lambda*,\lambda)\) and soliton solutions ⋮
Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation ⋮
An integrable coupled Alice–Bob modified Korteweg de-Vries system: Lax pairs, Bäcklund transformations, residual symmetries and exact solutions ⋮
Darboux transformation of the variable coefficient nonlocal equation ⋮
Rational soliton solutions in the nonlocal coupled complex modified Korteweg-de Vries equations ⋮
A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution ⋮
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions ⋮
Solutions and continuum limits to nonlocal discrete sine‐Gordon equations: Bilinearization reduction method ⋮
Dynamical behaviour of solitons in a \(\mathcal{P} \mathcal{T} \)-invariant nonlocal nonlinear Schrödinger equation with distributed coefficients ⋮
New travelling wave solution-based new Riccati equation for solving KdV and modified KdV equations ⋮
Long time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regions ⋮
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation ⋮
Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons ⋮
Multi-component AKNS systems ⋮
Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations ⋮
Nonlocal hydrodynamic type of equations ⋮
Nonlocal modified KdV equations and their soliton solutions by Hirota method ⋮
Dynamics of rogue waves in the partially \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson systems ⋮
Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation ⋮
\((2+1)\)-dimensional local and nonlocal reductions of the negative AKNS system: soliton solutions ⋮
Nonlocal coupled HI-MKdv systems ⋮
Multi-soliton solutions for a nonlocal complex coupled dispersionless equation ⋮
Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system ⋮
On the existence of solution, Lie symmetry analysis and conservation law of magnetohydrodynamic equations ⋮
Discrete symmetries and nonlocal reductions ⋮
Nonlocal KdV equations ⋮
A coupled \((2+1)\)-dimensional mKdV system and its nonlocal reductions ⋮
Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation ⋮
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions ⋮
Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation ⋮
Some \((2 + 1)\)-dimensional nonlocal ``breaking soliton-type systems ⋮ Multi-place physics and multi-place nonlocal systems ⋮ Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction ⋮ Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations ⋮ Rogue waves in the nonlocal \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equation ⋮ Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations ⋮ A hierarchy of nonlocal nonlinear evolution equations and \(\overline{\partial} \)-dressing method ⋮ Integrable space-time shifted nonlocal nonlinear equations ⋮ Semi-rational solutions of the third-type Davey-Stewartson equation ⋮ General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions ⋮ Dynamics of lump-soliton solutions to the \(PT\)-symmetric nonlocal Fokas system ⋮ Soliton solutions to the reverse-time nonlocal Davey-Stewartson III equation ⋮ Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations ⋮ Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz-Ladik equation of reverse-space type ⋮ On a Riemann-Hilbert problem for the focusing nonlocal mKdV equation with step-like initial data ⋮ Superposition of the coupled NLS and MKdV systems ⋮ Exact solutions of nonlocal Fokas-Lenells equation ⋮ On general solitons in the parity-time-symmetric defocusing nonlinear Schrödinger equation ⋮ A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle ⋮ General soliton solutions to a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions ⋮ Coherent structure of Alice-Bob modified Korteweg de-Vries equation ⋮ Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation ⋮ General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system ⋮ Various soliton solutions and asymptotic state analysis for the discrete modified Korteweg-de Vries equation ⋮ Nonlocal Symmetry and Explicit Solution of the Alice-Bob Modified Korteweg-de Vries Equation ⋮ Dynamics of localized waves and interaction solutions for the \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation ⋮ Nonlocal-derivative NLS equations and group-invariant soliton solutions ⋮ Energy-sharing collisions and the dynamics of degenerate solitons in the nonlocal Manakov system
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