Солитоны и метод обобщeнных подстановок Коула - Хопфа

DOI10.14498/vsgtu1177zbMath1463.35423OpenAlexW2312320101MaRDI QIDQ5221928

Aleksandr Nikolaevich Byzykchi, Victor M. Zhuravlev

Publication date: 3 April 2020

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1177

zbMATH Keywords

solitonsexactly integrable nonlinear modelsHopf-Cole substitutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse problems for PDEs (35R30) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• The method of generalized Cole-Hopf substitutions and new examples of linearizable nonlinear evolution equations
• Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
• Analogs of the Burgers equation of arbitrary order
• Метод обобщeнных подстановок Коула - Хопфа в теории конечномерных нелинейных динамических систем
• Unnamed Item
• Unnamed Item

This page was built for publication: Солитоны и метод обобщeнных подстановок Коула - Хопфа