The New Infinite Sequence Solutions of Multiple Sine-Gordon Equations
| Autor: | Yu Mei Bai, Taogetusang nbsp |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Partial differential equation
Differential equation Mathematical analysis First-order partial differential equation Exact differential equation 01 natural sciences 010305 fluids & plasmas Nonlinear Sciences::Exactly Solvable and Integrable Systems Integro-differential equation 0103 physical sciences Riccati equation 010306 general physics Nonlinear Sciences::Pattern Formation and Solitons Universal differential equation Separable partial differential equation Mathematics |
| Zdroj: | Journal of Applied Mathematics and Physics. :796-805 |
| ISSN: | 2327-4379 2327-4352 |
| DOI: | 10.4236/jamp.2016.44090 |
| Popis: | By the function transformation and the first integral of the ordinary differential equations, the problem of solving the solutions of the double sine-Gordon equation and the treble sine-Gordon equation is researched, and the new solutions are obtained. First, the problem of solving the solutions of the double sine-Gordon equation and the treble sine-Gordon equation is changed to the problem of solving the solutions of the nonlinear ordinary differential equation. Second, with the help of the B?cklund transformation and the nonlinear superposition formula of solutions of the first kind of elliptic equation and the Riccati equation, the new infinite sequence soliton-like solutions of two kinds of sine-Gordon equations are constructed. |
| Databáze: | OpenAIRE |
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