Symmetry classification and optimal systems of a non-linear wave equation
From MaRDI portal
Publication:873289
DOI10.1016/S0020-7462(02)00195-6zbMath1348.35140MaRDI QIDQ873289
Maria Luz Gandarias, Mariano Torrisi, Antonino Valenti
Publication date: 29 March 2007
Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)
Second-order nonlinear hyperbolic equations (35L70) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (27)
Symmetry analysis of wave equation on sphere ⋮ Lie group analysis of a generalized Krichever-Novikov differential-difference equation ⋮ Exact solutions of Diffusion Equation on sphere ⋮ Reduction operators and exact solutions of variable coefficient nonlinear wave equations with power nonlinearities ⋮ Two approximate symmetry frameworks for nonlinear partial differential equations with a small parameter: Comparisons, relations, approximate solutions ⋮ Unnamed Item ⋮ Differential invariants of nonlinear equations \(v_{tt}=f(x,v_{x})v_{xx}+g(x,v_{x})\). ⋮ Group analysis and exact solutions of a class of variable coefficient nonlinear telegraph equations ⋮ Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations ⋮ Symmetry analysis of wave equation on conformally flat spaces ⋮ Group-theoretical analysis of variable coefficient nonlinear telegraph equations ⋮ Symmetry analysis of wave equation on static spherically symmetric spacetimes with higher symmetries ⋮ Analysis of the one-dimensional Euler-Lagrange equation of continuum mechanics with a Lagrangian of a special form ⋮ Local and nonlocal symmetries for nonlinear telegraph equation ⋮ Group properties of generalized quasi-linear wave equations ⋮ Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis ⋮ Symmetry group classification for general Burgers equation ⋮ Group classification and exact solutions of nonlinear wave equations ⋮ A symmetry classification for a class of \((2+1)\)-nonlinear wave equation ⋮ On the symmetries and conservation laws of the multidimensional nonlinear damped wave equations ⋮ Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations ⋮ Preliminary group classification for the nonlinear wave equation \(u_{tt}=f(x,u)u_{xx}+g(x,u)\) ⋮ Realizations of the Witt and Virasoro Algebras and Integrable Equations ⋮ Symmetry analysis of the Klein–Gordon equation in Bianchi I spacetimes ⋮ Lie symmetry classification of the generalized nonlinear beam equation ⋮ Group classification of nonlinear wave equations ⋮ Complete group classification of a class of nonlinear wave equations
This page was built for publication: Symmetry classification and optimal systems of a non-linear wave equation
