Asymptotic Expansions for One-Phase Soliton-Type Solutions of the Korteweg-De Vries Equation with Variable Coefficients

DOI10.1007/s11253-005-0176-9zbMath1100.35095OpenAlexW1979932539MaRDI QIDQ5477140

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Publication date: 20 July 2006

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

Full work available at URL: https://doi.org/10.1007/s11253-005-0176-9

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

Asymptotic \(m\)-phase soliton-type solutions of a singularly perturbed Korteweg-de Vries equation with variable coefficients ⋮ Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients ⋮ Asymptotic soliton-like solutions to the Benjamin-Bona-Mahony equation with variable coefficients and a strong singularity ⋮ Asymptotic multiphase {\(\Sigma\)}-solutions to the singularly perturbed Korteweg-de Vries equation with variable coefficients ⋮ Existence of solutions to non-homogeneous higher order differential equation in the Schwartz space

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