Asymptotic representation of surface waves in the form of two traveling Burgers waves

DOI10.1007/BF01077050zbMath0857.35146OpenAlexW1994265728MaRDI QIDQ1916668

Pavel I. Naumkin, Iliya A. Shishmarev

Publication date: 9 March 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077050

zbMATH Keywords

Cauchy problemeigenvaluesinverse Fourier transformBurgers equations with transferlinear pseudodifferential operators

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (1)

On the Cauchy problem for nonlinear dissipative systems

Cites Work

• A Higher-Order Water-Wave Equation and the Method for Solving It
• Regular decay of solutions of strongly damped nonlinear hyperbolic equations
• Approximate equations for long water waves
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