New exact solutions of nonlinear wave type PDEs with delay
From MaRDI portal
Publication:2005979
DOI10.1016/j.aml.2020.106512zbMath1450.35111OpenAlexW3032695293WikidataQ114210602 ScholiaQ114210602MaRDI QIDQ2005979
Vsevolod G. Sorokin, Andrei D. Polyanin
Publication date: 8 October 2020
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2020.106512
Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Second-order semilinear hyperbolic equations (35L71)
Related Items
Asymptotic expansion of the error of the numerical method for solving wave equation with functional delay ⋮ Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay ⋮ A method for constructing exact solutions of nonlinear delay PDEs
Cites Work
- Unnamed Item
- Unnamed Item
- A new method to find series solutions of a nonlinear wave equation
- Functionally separable solutions to nonlinear wave equations by group foliation method
- Splitting in systems of PDEs for two-phase multicomponent flow in porous media
- Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients
- Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations
- Nonlinear delay reaction-diffusion equations with varying transfer coefficients: exact methods and new solutions
- On the complete group classification of the reaction-diffusion equation with a delay
- Local and nonlocal symmetries for nonlinear telegraph equation
- On the complete group classification of the one-dimensional nonlinear Klein-Gordon equation with a delay
- Group analysis and exact solutions of a class of variable coefficient nonlinear telegraph equations
- A family of nonlinear Klein–Gordon equations and their solutions
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations