Symmetry reduction and some exact solutions of nonlinear biwave equations

DOI10.1016/0034-4877(96)89767-9zbMath0891.35104OpenAlexW2142779230MaRDI QIDQ1373522

O. V. Roman, W. I. Fushchich, Renat Zhdanov

Publication date: 1 July 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)89767-9

zbMATH Keywords

exact invariant solutionssymmetry selection principle

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Solutions to PDEs in closed form (35C05) Higher-order nonlinear hyperbolic equations (35L75)

Related Items

Unnamed Item, Group analysis of a hyperbolic Lane-Emden system, Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem, Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation, Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem, Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras, One-dimensional semi-Markov evolutions with general Erlang sojourn times

Cites Work

• The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d'Alembert and eikonal equations
• Exact solutions of the multidimensional classical φ6-field equations obtained by symmetry reduction
• Arbitrary powers of D’Alembertians and the Huygens’ principle
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item