Soliton and breather solutions for a fifth-order modified KdV equation with a nonzero background

DOI10.1016/j.aml.2020.106256zbMath1441.35212OpenAlexW3003711757MaRDI QIDQ2176490

Nan Liu

Publication date: 4 May 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106256

zbMATH Keywords

solitonsbreathersRiemann-Hilbert methodfifth-order modified KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (8)

The asymptotic stability of solitons for the focusing mKdV equation with weak weighted Sobolev initial data ⋮ Soliton and breather solutions of the higher-order modified Korteweg-de Vries equation with constants background ⋮ Lump, breather and interaction solutions to the (3+1)-dimensional generalized Camassa-Holm Kadomtsev-Petviashvili equation ⋮ Riemann-Hilbert problem for the fifth-order modified Korteweg–de Vries equation with the prescribed initial and boundary values ⋮ Localized waves solutions for the fifth-order coupled extended modified KdV equation ⋮ Breather, soliton-breather interaction and double-pole solutions of the fifth-order modified KdV equation ⋮ Studies of wave interaction of high-order Korteweg-de Vries equation by means of the homotopy strategy and neural network prediction ⋮ Breather-soliton molecules and breather-positons for the extended complex modified KdV equation

Cites Work

• The three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions
• General propagation lattice Boltzmann model for a variable-coefficient compound KdV-Burgers equation
• Solitary and rogue waves with controllable backgrounds for the non-autonomous generalized \(AB\) system
• Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability
• The Riemann–Hilbert Problem and Inverse Scattering
• Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions

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