On one of methods for finding exact solutions of nonlinear differential equations
arXiv:1108.3288 · doi:10.1016/j.cnsns.2011.10.016
Abstract
One of old methods for finding exact solutions of nonlinear differential equations is considered. Modifications of the method are discussed. Application of the method is illustrated for finding exact solutions of the Fisher equation and nonlinear ordinary differential equation of the seven order. It is shown that the method is one of the most effective approaches for finding exact solutions of nonlinear differential equations. Merits and demerits of the method are discussed.
15 pages, 27 references
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Cited by in corpus (11)
- Traveling wave solutions to Kawahara and related equations
- Quasi-exact solutions of nonlinear differential equations
- Multi-soliton solutions and data-driven discovery of higher-order Burgers' hierarchy equations with physics informed neural networks
- Extended two dimensional equation for the description of nonlinear waves in gas-liquid mixture
- New developments of the methodology of the Modified method of simplest equation with application
- The fifth-order partial differential equation for the description of the α+β Fermi-Pasta-Ulam model
- Group classification and exact solutions of a class of nonlinear waves
- Traveling wave solutions for wave equations with two exponential nonlinearities
- Modified method of simplest equation for obtaining exact solutions of nonlinear partial differential equations: past and present
- Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
- Exact solutions of time fractional generalized Burgers-Fisher Equation using generalized Kudryashov method