Existence of a family of soliton-like solutions for the Kawahara equation

DOI10.1007/BF01247646zbMath0787.35082MaRDI QIDQ1206234

Andrej Il'ichev

Publication date: 1 April 1993

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

dispersionsolitons of the KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Cites Work

• Existence of perturbed solitary wave solutions to a model equation for water waves
• Structural stability of the Korteweg-de Vries solitons under a singular perturbation
• A theory of solitary water-waves in the presence of surface tension
• On solitary water-waves of finite amplitude
• The existence of internal solitary waves in a two-fluid system near the KdV limit
• A Global Theory of Internal Solitary Waves in Two-Fluid Systems
• The Leray-Schauder index and the fixed point theory for arbitrary ANRs

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