Stability of solitons described by KdV-type equations with higher-order dispersion and nonlinearity (analytical results)

DOI10.1016/S0375-9601(01)00282-1zbMath0977.35113MaRDI QIDQ5936873

V. I. Karpman

Publication date: 9 July 2001

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

zbMATH Keywords

linear stabilitynonlinear stabilitynumerical simulations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (1)

On the stability of the solitary waves to the (generalized) Kawahara equation

Cites Work

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• Structural stability of the Korteweg-de Vries solitons under a singular perturbation
• 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
• Stabilization of soliton instabilities by higher order dispersion: KdV-type equations.
• Stationary solitons of the fifth order KdV-type. Equations and their stabilization.
• Solitons and their stability in high dispersive systems. I: Fourth-order nonlinear Schrödinger-type equations with power-law nonlinearities
• The inverse scattering transform: Semi-infinite interval
• Blow-up in Nonlinear Schroedinger Equations-I A General Review

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