Soliton solutions to the reverse-time nonlocal Davey-Stewartson III equation

DOI10.1016/j.wavemoti.2021.102744OpenAlexW3153825491MaRDI QIDQ2247515

Heming Fu, Changyan Shi, Cheng-Fa Wu

Publication date: 17 November 2021

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2021.102744

zbMATH Keywords

soliton solutionsHirota's bilinear methodinelastic collisionsbreather solutionsKadomtsev-Petviashvili hierarchy reduction methodreverse-time nonlocal Davey-Stewartson III equation

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Partial differential equations (35-XX)

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Cites Work

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• Solitons and infinite dimensional Lie algebras
• Soliton solutions for a generalized nonlocal discrete Hirota equation
• Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment
• On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
• \(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background
• Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction
• Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• General N-Dark-Dark Solitons in the Coupled Nonlinear Schrödinger Equations
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• First and second order nonlinear evolution equations from an inverse spectral problem
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Method for Solving the Korteweg-deVries Equation
• Transformations between Nonlocal and Local Integrable Equations
• Integrable 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
• General soliton and (semi‐)rational solutions to the nonlocal Mel'nikov equation on the periodic background
• General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation