A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations
From MaRDI portal
Publication:548604
DOI10.1016/J.NA.2011.03.005zbMath1221.35038OpenAlexW2067130561MaRDI QIDQ548604
Publication date: 29 June 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.03.005
Symmetries, invariants, etc. in context of PDEs (35B06) Second-order quasilinear hyperbolic equations (35L72)
Related Items (3)
Homotopy series solutions of perturbed PDEs via approximate symmetry method ⋮ Approximate symmetry of time-fractional partial differential equations with a small parameter ⋮ A new method to find series solutions of a nonlinear wave equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Comparison of approximate symmetry methods for differential equations
- Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations
- Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
- Group properties of u//(tt)=[f(u)u//x//x]
- Perturbation methods in group analysis
- On the similarity solutions of wave propagation for a general class of non-linear dissipative materials
- Lie-Bäcklund tangent transformations
- Two approaches to the calculation of approximate symmetry exemplified using a system of advection-diffusion equations
- On the group classification of variable-coefficient nonlinear diffusion--convection equations
- On approximate symmetry and approximate solutions of the nonlinear wave equation with a small parameter
- New classes of symmetries for partial differential equations
- Approximate symmetries and approximate solutions for a multidimensional Landau-Ginzburg equation
- Approximate conditional symmetries for partial differential equations
- Symmetry Properties of the Approximations of Multidimensional Generalized Van Der Pol Equations
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- On the construction of approximate solutions for a multidimensional nonlinear heat equation
- Approximate similarity reduction for singularly perturbed Boussinesq equation via symmetry perturbation and direct method
- Exact Solution for the Vibrations of a Nonlinear Continuous Model String
- Classification and Approximate Solutions to a Class of Perturbed Nonlinear Wave Equations
This page was built for publication: A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations