The order-n breather and degenerate breather solutions of the (2+1)-dimensional cmKdV equations

DOI10.1142/S0217979221500533zbMath1455.35229OpenAlexW3128344924MaRDI QIDQ4965714

Feng Yuan

Publication date: 9 March 2021

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979221500533

zbMATH Keywords

breather solutiondegenerate breather solution\((2+1)\)-D cmKdV equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
• The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
• Deformed solitons of a typical set of (2+1)-dimensional complex modified Korteweg-de Vries equations
• The \(n\)-fold Darboux transformation for the Kundu-Eckhaus equation and dynamics of the smooth positon solutions
• Degeneration of breathers in the Kadomttsev-Petviashvili I equation
• The \(n\)th-order degenerate breather solution for the Kundu-Eckhaus equation
• The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation
• On the evolution of packets of water waves
• Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
• Nonlinear Waves, Solitons and Chaos
• On three-dimensional packets of surface waves

This page was built for publication: The order-n breather and degenerate breather solutions of the (2+1)-dimensional cmKdV equations