The deterministic and stochastic solutions for the nonlinear Phi-4 equation
DOI10.1515/ijnsns-2022-2272OpenAlexW4283028866MaRDI QIDQ2101862
Yousef F. Alharbi, Sherif I. Ammar, Mohamed A. Sohaly, Mahmoud A. E. Abdelrahman
Publication date: 6 December 2022
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2022-2272
\(\exp (-\varphi(\xi))\)-expansion methoddeterministic (random) Phi-4 equationdeterministic (stochastic) solitary wave solutionsmean square sensestability moment method
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of statistics to physics (62P35) Analyticity in context of PDEs (35A20) Traveling wave solutions (35C07) PDEs in connection with statistics (35Q62)
Cites Work
- Unnamed Item
- Solitons for compound KdV-Burgers equation with variable coefficients and power law nonlinearity
- Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation
- The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
- A new auxiliary equation and exact travelling wave solutions of nonlinear equations
- Random differential equations in science and engineering
- Travelling wave solutions of generalized Klein-Gordon equations using Jacobi elliptic functions
- An algebraic method exactly solving two high-dimensional nonlinear evolution equations
- A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application
- Global solutions for the ultra-relativistic Euler equations
- A Riccati-Bernoulli sub-ODE method for some nonlinear evolution equations
- A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
- On optical solitons of the resonant Schrödinger’s equation in optical fibers with dual-power law nonlinearity and time-dependent coefficients
- ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
- An advanced model of thermoelasticity with higher-order memory-dependent derivatives and dual time-delay factors
- A novel model of nonlocal thermoelasticity with time derivatives of higher order
- The ultra‐relativistic Euler equations
- Stability analysis, dynamical behavior and analytical solutions of nonlinear fractional differential system arising in chemical reaction
