Multiple solitons and breathers on periodic backgrounds in the complex modified Korteweg-de Vries equation
From MaRDI portal
Publication:6656475
DOI10.1016/j.aml.2024.109308MaRDI QIDQ6656475
D. Mihalache, Jiguang Rao, Jing-Song He
Publication date: 3 January 2025
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08) Trigonometric solutions to PDEs (35C09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solitons and infinite dimensional Lie algebras
- Nonlinear wave propagation in micropolar media. I: The general theory
- The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant
- Rogue periodic waves in the fifth-order Ito equation
- Rogue periodic waves of the sine-Gordon equation
- Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation
- Periodic waves in the discrete mKdV equation: modulational instability and rogue waves
- Superregular breathers in a complex modified Korteweg-de Vries system
- Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions
- The Wronskian structure for solution of the k-constrained KP hierarchy
- Multi‐breather and high‐order rogue waves for the nonlinear Schrödinger equation on the elliptic function background
- Wronskian solutions of the constrained Kadomtsev–Petviashvili hierarchy
- Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation
- Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation
- The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation
- General high-order rogue waves in the Hirota equation
- On the Poisson structure and action-angle variables for the complex modified Korteweg-de Vries equation
- Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects
- Bright and dark breathers of the Benjamin-Ono equation on the traveling periodic background
- Localized waves on the periodic background for the Hermitian symmetric space derivative nonlinear Schrödinger equation
- Dark breathers on a snoidal wave background in the defocusing mKdV equation
This page was built for publication: Multiple solitons and breathers on periodic backgrounds in the complex modified Korteweg-de Vries equation