Nonexistence of pure multi-solitons for the quartic gBBM equation
From MaRDI portal
Publication:2204890
DOI10.1016/j.cnsns.2017.06.026OpenAlexW2698997909MaRDI QIDQ2204890
Wenxia Chen, Jingdong Wei, Lixin Tian, Zaili Zhen
Publication date: 16 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.2017.06.026
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10)
Cites Work
- Unnamed Item
- Stability of \(N\) solitary waves for the generalized BBM equations
- Description of two soliton collision for the quartic gKdV equation
- Stability of two soliton collision for nonintegrable gKdV equations
- Inelastic interaction of nearly equal solitons for the BBM equation
- Description of the inelastic collision of two solitary waves for the BBM equation
- Scattering of regularized-long-wave solitary waves
- Soliton-like interaction governed by the generalized Korteweg-de Vries equation
- Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
- Models for internal waves in deep water
- Stability and asymptotic stability for subcritical gKdV equations
- Asymptotic stability of solitary wave solutions to the regularized long-wave equation
- Inelastic interaction of nearly equal solitons for the quartic gKdV equation
- Refined asymptotics around solitons for gKdV equations
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Linear Problems Related to Asymptotic Stability of Solitons of the Generalized KdV Equations
- On the Inelastic Two-Soliton Collision for gKdV Equations with General Nonlinearity
- On the Interaction of Nearly Equal Solitons in the KdV Equation
- Solitary-wave interaction
- The Korteweg–deVries Equation: A Survey of Results
- Euler operators and conservation laws of the BBM equation
- On the stability of KdV multi‐solitons
- Weak Interaction between Solitary Waves of the Generalized KdV Equations
- On the Nonexistence of Pure Multi-solitons for the Quartic gKdV Equation
- Long waves on a beach
- Model equations for long waves in nonlinear dispersive systems
- Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
- Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation
- Asymptotic stability of solitons for subcritical generalized KdV equations
This page was built for publication: Nonexistence of pure multi-solitons for the quartic gBBM equation