Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations
From MaRDI portal
Publication:2300178
DOI10.1016/j.cnsns.2013.12.021OpenAlexW1981445319MaRDI QIDQ2300178
Andrei D. Polyanin, Alexei I. Zhurov
Publication date: 27 February 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.12.021
exact solutionsnonlinear Klein-Gordon equationsdelay partial differential equationsgeneralized separable solutionsfunctional separable solutions
Related Items (12)
Traveling-wave solutions of a generalized damped wave equation with time-dependent coefficients through the trial equation method ⋮ Lie group classification of first-order delay ordinary differential equations ⋮ Direct functional separation of variables and new exact solutions to axisymmetric unsteady boundary-layer equations ⋮ Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients ⋮ 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 ⋮ Nonlinear delay reaction-diffusion equations: traveling-wave solutions in elementary functions ⋮ New exact solutions of nonlinear wave type PDEs with delay ⋮ Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients ⋮ Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations ⋮ Nonlinear delay reaction-diffusion equations with varying transfer coefficients: exact methods and new solutions ⋮ Second-order delay ordinary differential equations, their symmetries and application to a traffic problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- Exponential stability of high-order bidirectional associative memory neural networks with time delays
- Oscillations of nonlinear hyperbolic equations with functional arguments via Riccati method
- Differential-difference equations
- Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay
- Oscillation of hyperbolic equations with functional arguments
- Ordinary and delay differential equations
- Exact solutions of a family of Fisher equations
- Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms
- Theory and applications of partial functional differential equations
- Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays
- New results concerning exponential stability and periodic solutions of delayed cellular neural networks
- Oscillatory properties of the solutions of nonlinear delay hyperbolic differential equations of neutral type.
- Global asymptotic stability of a larger class of neural networks with constant time delay
- Some sufficient conditions for global exponential stability of delayed Hopfield neural networks
- Symmetry analysis of the nonhomogeneous inviscid Burgers equation with delay
- Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays
- Exact separable solutions of delay reaction-diffusion equations and other nonlinear partial functional-differential equations
- Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations
- Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays
- On the complete group classification of the reaction-diffusion equation with a delay
- Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions
- A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach
- Nonmonotone travelling waves in a single species reaction--diffusion equation with delay
- On invariant solutions of the equation of non-linear heat conduction with a source
- A family of nonlinear Klein–Gordon equations and their solutions
- Quasilinear heat equations with first-order sign-invariants and new explicit solutions
- Wavefronts and global stability in a time-delayed population model with stage structure
- Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Separation of variables in the nonlinear wave equation
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
- A global stability criterion for a family of delayed population models
- Functional differential equations
- Traveling wave fronts of reaction-diffusion systems with delay
This page was built for publication: Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations