Blowup of solutions of nonlinear equations and systems of nonlinear equations in wave theory

DOI10.1007/S11232-013-0028-YzbMath1288.35116OpenAlexW2025655633MaRDI QIDQ2449458

M. O. Korpusov

Publication date: 8 May 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-013-0028-y

zbMATH Keywords

shallow water equationtest-function method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Blow-up in context of PDEs (35B44) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (1)

Solution blowup for systems of shallow-water equations

Cites Work

• Boussinesq systems of Bona-Smith type on plane domains: theory and numerical analysis
• On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation
• Weighted identities for solutions of generalized Korteweg-de Vries equations
• Long wave approximations for water waves
• Riemann quasi-invariants
• Numerical solution of Boussinesq systems of KdV–KdV type: II. Evolution of radiating solitary waves

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