LUMP AND MIXED ROGUE-SOLITON SOLUTIONS TO THE 2+1 DIMENSIONAL ABLOWITZ-KAUP-NEWELL-SEGUR EQUATION

DOI10.11948/20190160zbMath1461.35096OpenAlexW2996942044MaRDI QIDQ5858010

Ji Lin, Asma Issasfa

Publication date: 9 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190160

zbMATH Keywords

Hirota bilinear methodrogue wavelump solution(2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation (AKNS)homoclinic breather solution

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Other special methods applied to PDEs (35A25) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (3)

Lump and new interaction solutions to the (3+1)-dimensional nonlinear evolution equation ⋮ Dynamical behaviour of the light pulses through the optical fiber: two nonlinear Atangana conformable fractional evolution equations ⋮ Interactions solutions of various-type rogue with multi-stripe solitons and breather lump for the (2+1)-dimensional Maccari’s system

Cites Work

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• Darboux transformation and explicit solutions for two integrable equations
• Multiple-soliton solutions for the Boussinesq equation
• Lump solutions to a \((2+1)\)-dimensional fifth-order KdV-like equation
• Mixed lump-kink solutions to the KP equation
• Multiple rogue wave and breather solutions for the \((3+1)\)-dimensional KPI equation
• Lump solutions to the Kadomtsev-Petviashvili equation
• New double Wronskian solutions of the AKNS equation
• Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
• Lump Solution of (2+1)-Dimensional Boussinesq Equation
• Nonlocal symmetries related to Bäcklund transformation and their applications
• Solitons on a Periodic Wave Background of the Modified KdV-Sine-Gordon Equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Construction of dKP and BKP equations with self-consistent sources
• Symmetry group and exact solutions for the 2+1 dimensional Ablowitz–Kaup–Newell–Segur equation
• Two-dimensional lumps in nonlinear dispersive systems
• The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• Method for Solving the Korteweg-deVries Equation
• (2+1)-dimensional (M+N)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutions
• Dynamics of rogue waves in the Davey–Stewartson II equation
• Lump solutions to the BKP equation by symbolic computation

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