Asymptotic \(m\)-phase soliton-type solutions of a singularly perturbed Korteweg-de Vries equation with variable coefficients

DOI10.1007/s11253-012-0702-5zbMath1257.35167OpenAlexW4247619320MaRDI QIDQ1937948

Valeriy H. Samoylenko, Yu. I. Samoylenko

Publication date: 1 February 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0702-5

Mathematics Subject Classification ID

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

Related Items

Asymptotic \(m\)-phase soliton-type solutions of a singularly perturbed Korteweg-de Vries equation with variable coefficients. II, Stepwise asymptotic solutions to the Korteweg-de Vries equation with variable coefficients and a small parameter at the higher-order derivative, 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 \(\Sigma\)-solutions of a singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients

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