Cauchy problem for modified Korteweg-de Vries equation with piecewise- type initial data

DOI10.1007/BF00968683zbMath0567.35074MaRDI QIDQ1059794

E. P. Zhidkov, Kiril P. Kirchev

Publication date: 1984

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

zbMATH Keywords

existenceuniquenessCauchy problemBanach spaceKorteweg-de Vries equationStabilitysolitary wave solutioninitial dataBenjamin-Bona-Mahony equationcontinuous dependencepseudoparabolic regularization

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

Cauchy problem for the Korteweg-de Vries equation and its generalizations

Cites Work

• Method for Solving the Korteweg-deVries Equation
• The initial-value problem for the Korteweg-de Vries equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Model equations for long waves in nonlinear dispersive systems
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