On simultaneous solution of the KdV equation and a fifth-order differential equation

DOI10.13108/2016-8-4-52zbMath1463.35438OpenAlexW2588122558WikidataQ115238943 ScholiaQ115238943MaRDI QIDQ5136200

Rustem Nailevich Garifullin

Publication date: 25 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa352

zbMATH Keywords

asymptoticsKorteweg-de Vries equationmatching of asymptotic expansionsnon-dissipative shock waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (3)

Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ On analogs of wave catastrophe functions that are solutions of nonlinear integrable equations ⋮ Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation

Cites Work

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• Phase shift in the Whitham zone for the Gurevich-Pitaevskii special solution of the Korteweg-de Vries equation
• THE METHOD OF ISOMONODROMY DEFORMATIONS AND CONNECTION FORMULAS FOR THE SECOND PAINLEVÉ TRANSCENDENT
• From weak discontinuity to gradient catastrophe

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