Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
Copyright policy )Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
The application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is considered. Some classes of solitary wave solutions for the families of nonlinear evolution equations of fifth, sixth and seventh order are obtained. The efficiency of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is demonstrated.
6 figures; 21 references
- National Reserch Nuclear University MEPHI Russian Federation
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
- Moscow Engineering Physics Institute Russian Federation
- National Research University of Electronic Technology Russian Federation
exact solution, solitary wave solution, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, equation of fifth order, equation of sixth order, equation of seventh order, ordinary differential equation, nonlinear evolution equation, Solutions to PDEs in closed form, Soliton solutions, Kudryashov method, Other special methods applied to PDEs, nonlinear differential equation, Exactly Solvable and Integrable Systems (nlin.SI), Initial value problems for nonlinear higher-order PDEs
exact solution, solitary wave solution, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, equation of fifth order, equation of sixth order, equation of seventh order, ordinary differential equation, nonlinear evolution equation, Solutions to PDEs in closed form, Soliton solutions, Kudryashov method, Other special methods applied to PDEs, nonlinear differential equation, Exactly Solvable and Integrable Systems (nlin.SI), Initial value problems for nonlinear higher-order PDEs
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