Soliton solution of a singularly perturbed KdV equation

DOI10.1016/0375-9601(95)00729-MzbMath1020.35520OpenAlexW1973800587MaRDI QIDQ1965787

Wen Hua Hai, Yi Xiao

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00729-m

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items

A new approach to solve perturbed nonlinear evolution equations through Lie-Bäcklund symmetry method ⋮ Solitary waves of the generalized KdV equation with distributed delays ⋮ New solitons and conditional stability to the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity ⋮ Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation ⋮ New approximate solutions of the perturbed KdV equation ⋮ Stationary solitons of the fifth order KdV-type. Equations and their stabilization. ⋮ Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms ⋮ Solitary waves for Korteweg-de Vries equation with small delay ⋮ Bell-Polynomial Approach and Soliton Solutions for Some Higher-Order Korteweg-de Vries Equations in Fluid Mechanics, Plasma Physics and Lattice Dynamics ⋮ New soliton and periodic solutions of \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity ⋮ Solitary wave solutions for a generalized KdV–mKdV equation with distributed delays ⋮ Solitary waves solutions of singularly perturbed higher-order KdV equation via geometric singular perturbation method

Cites Work

• Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
• Structural stability of the Korteweg-de Vries solitons under a singular perturbation
• A perturbation theory for soliton systems
• Nonlinear Schrödinger equation including growth and damping
• Damped double solitons in the nonlinear Schrödinger equation
• A note on the interaction between solitary waves in a singularly-perturbed Korteweg-de Vries equation