Stationary solitons of the fifth order KdV-type. Equations and their stabilization.

DOI10.1016/S0375-9601(96)00772-4zbMath1037.35502arXivhep-th/9604122OpenAlexW2136840455MaRDI QIDQ1968083

Avinash Khare, B. Dey, C. Nagaraja Kumar

Publication date: 7 March 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9604122

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Orbital stability of internal waves, A nonlinear Liouville property for the generalized Kawahara equation, On the stability of the solitary waves to the (generalized) Kawahara equation, Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities, Stability of solitary waves of a fifth-order water wave model, The polygonal method for constructing exact solutions to certain nonlinear differential equations describing water waves, Stability of solitary waves of a nonlinear beam equation, Stability of solitary waves for the generalized higher-order Boussinesq equation, Can simple KdV-type equations be derived for shallow water problem with bottom bathymetry?, Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework, Stability of solitons described by KdV-type equations with higher-order dispersion and nonlinearity (analytical results), Generalized Jacobi polynomials/functions and their applications, Pulsating multiplet solutions of quintic wave equations

Cites Work

• Radiating solitons of the fifth order KdV-type equations
• Stationary solitons and stabilization of the collapse described by KdV-type equations with high nonlinearities and dispersion
• Soliton solution of a singularly perturbed KdV equation
• Stabilization of soliton instabilities by higher order dispersion: KdV-type equations.
• A note on the interaction between solitary waves in a singularly-perturbed Korteweg-de Vries equation