Radiating solitons of the fifth order KdV-type equations

DOI10.1016/0375-9601(94)91175-4zbMath0961.35501OpenAlexW2035065086MaRDI QIDQ1964824

V. I. Karpman

Publication date: 6 February 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(94)91175-4

zbMATH Keywords

stationary solitonsfifth order KdV-type equationsradiating solitons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Solitons of the fourth order nonlinear Schrödinger equation, Stationary solitons and stabilization of the collapse described by KdV-type equations with high nonlinearities and dispersion, Evolution of radiating solitons described by the fifth-order Korteweg-de Vries type equations, Stabilization of soliton instabilities by higher order dispersion: KdV-type equations., Lyapunov approach to the soliton stability in highly dispersive systems. II: KdV-type equations, Stationary solitons of the fifth order KdV-type. Equations and their stabilization., Stability of solitons described by KdV-type equations with higher-order dispersion and nonlinearity (analytical results), Radiative decay of weakly nonlocal solitary waves.

Cites Work

• Stationary solitary waves of the fifth order KdV-type equations
• The inverse scattering transform: Semi-infinite interval
• Blow-up in Nonlinear Schroedinger Equations-I A General Review