Multidimensional nonlinear wave equations with multivalued solutions

DOI10.1007/S11232-013-0020-6zbMath1282.35248OpenAlexW2031906572MaRDI QIDQ394049

Victor M. Zhuravlev

Publication date: 24 January 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-013-0020-6

zbMATH Keywords

breaking waved'Alembert equationsexact solution of multidimensional hyperbolic equationsmedium with nonlinear polarizationnonlinear Klein-Gordon equationsnonlinear telegraph equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Second-order quasilinear hyperbolic equations (35L72)

Related Items (5)

Multidimensional quasilinear first-order equations and multivalued solutions of the elliptic and hyperbolic equations ⋮ Interacting waves of Davey-Stewartson III system ⋮ Families of exact solutions for linear and nonlinear wave equations with a variable speed of sound and their use in solving initial boundary value problems ⋮ Blow-up instability in non-linear wave models with distributed parameters ⋮ Multidimensional nonlinear Klein-Gordon equations and rivertons

Cites Work

• Classification of integrable \((2+1)\)-dimensional quasilinear hierarchies
• On the integrability of \((2+1)\)-dimensional quasilinear systems
• THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD
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