Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions - MaRDI portal

Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions

From MaRDI portal
Publication:4967126

DOI10.1111/sapm.12222zbMath1420.35304OpenAlexW2883286173WikidataQ129510115 ScholiaQ129510115MaRDI QIDQ4967126

Bao-Feng Feng, Mark J. Ablowitz, Xu-Dan Luo, Ziad H. Musslimani

Publication date: 2 July 2019

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12222




Related Items (49)

Symmetry broken and symmetry preserving multi-soliton solutions for nonlocal complex short pulse equationGeneral \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equationsIntegrable nonlinear Klein-Gordon systems with \(\mathcal{PT}\) nonlocality and/or space-time exchange nonlocalityIntegrable nonlocal asymptotic reductions of physically significant nonlinear equations\(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithmInverse scattering transform for the integrable nonlocal Lakshmanan-Porsezian-Daniel equationSolutions to integrable space-time shifted nonlocal equationsBinary Darboux transformation and new soliton solutions of the focusing nonlocal nonlinear Schrödinger equationBounded multi-soliton solutions and their asymptotic analysis for the reversal-time nonlocal nonlinear Schrödinger equationRiemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial dataExact solutions and Darboux transformation for the reverse space-time nonlocal Lakshmanan-Porsezian-Daniel equationThe Fokas–Lenells equations: Bilinear approachLarge‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditionsSolutions and continuum limits to nonlocal discrete sine‐Gordon equations: Bilinearization reduction methodInverse scattering problem for the matrix modified Korteweg-de Vries equation with finite density type initial dataNonautonomous dynamics of local and nonlocal Fokas–Lenells modelsSome special exact solutions in nonlocal Alice-Bob sine-Gordon systems Bi-Dbar-approach for a coupled shifted nonlocal dispersionless systemField and reverse field solitons in wave-operator nonlinear Schrödinger equation with space-time reverse: Modulation instabilityRational and semi-rational solutions to the nonlocal Davey-Stewartson III equationDynamics of solitons and breathers on a periodic waves background in the nonlocal Mel'nikov equationDarboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equationDiscrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitonsElliptic‐ and hyperbolic‐function solutions of the nonlocal reverse‐time and reverse‐space‐time nonlinear Schrödinger equationsCollapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equationsMulti-soliton solutions for a nonlocal complex coupled dispersionless equationLong-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial dataDiscrete symmetries and nonlocal reductionsNonlocal KdV equationsMixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equationMultiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: general analysis and simplest examplesLong-time asymptotics for the integrable nonlocal nonlinear Schrödinger equationInverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditionsDynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equationMulti-place physics and multi-place nonlocal systemsRogue waves in the nonlocal \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equationIntegrable space-time shifted nonlocal nonlinear equationsFinite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchyGeneral soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditionsOn \((2+1)\)-dimensional mixed AKNS hierarchyOn a Riemann-Hilbert problem for the focusing nonlocal mKdV equation with step-like initial dataInitial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 × 4 Lax pair on a finite intervalOn general solitons in the parity-time-symmetric defocusing nonlinear Schrödinger equationPure soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equationGeneral stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric systemLong-time asymptotics for the focusing Hirota equation with non-zero boundary conditions at infinity via the Deift-Zhou approachReverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary ConditionsSoliton solutions of the shifted nonlocal NLS and MKdV equationsInverse scattering transform for the complex reverse space-time nonlocal modified Korteweg-de Vries equation with nonzero boundary conditions and constant phase shift



Cites Work


This page was built for publication: Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions