Soliton and Exact Solutions for the KdV–BBM Type Equations by tanh–coth and Transformed Rational Function Methods
| Autor: | R. Asokan, D. Vinodh |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Work (thermodynamics)
Partial differential equation Applied Mathematics Hyperbolic function Mathematics::Analysis of PDEs Rational function Type (model theory) Nonlinear Sciences::Cellular Automata and Lattice Gases 01 natural sciences 010305 fluids & plasmas Computational Mathematics Nonlinear system Nonlinear Sciences::Exactly Solvable and Integrable Systems 0103 physical sciences Applied mathematics Soliton 010306 general physics Korteweg–de Vries equation Nonlinear Sciences::Pattern Formation and Solitons Mathematics |
| Zdroj: | International Journal of Applied and Computational Mathematics. 4 |
| ISSN: | 2199-5796 2349-5103 |
| DOI: | 10.1007/s40819-018-0533-7 |
| Popis: | In this work, we study the nonlinear partial differential equations such as KdV–BBM, mKdV–BBM, generalized KdV–BBM and potential KdV–BBM equations. We apply the tanh–coth and transformed rational function methods for these model equations to obtain soliton, kink, periodic, rational and travelling wave solutions with the help of Mathematica. |
| Databáze: | OpenAIRE |
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