Periodic, kink and bell shape wave solutions to the Caudrey-Dodd-Gibbon (CDG) equation and the Lax equation
| Autor: | Md. Khorshed Alam |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
lax equation Matematik Applied Mathematics lcsh:Mathematics Caudrey-Dodd-Gibbon (CDG) equation Lax equation New generalized ((G')⁄G)-expansion method caudrey-dodd-gibbon (cdg) equation lcsh:QA1-939 Nonlinear Sciences::Exactly Solvable and Integrable Systems new generalized (g0/g)-expansion method Nonlinear Sciences::Pattern Formation and Solitons Mathematics Analysis Mathematical physics |
| Zdroj: | Advances in the Theory of Nonlinear Analysis and its Applications, Vol 4, Iss 4, Pp 216-232 (2020) Volume: 4, Issue: 4 216-232 Advances in the Theory of Nonlinear Analysis and its Application |
| ISSN: | 2587-2648 |
| Popis: | This paper addresses the implementation of the new generalized ((G')⁄G)-expansion method to the Caudrey-Dodd-Gibbon (CDG) equation and the Lax equation which are two special case of the fifth-order KdV (fKdV) equation. The method work well to derive a new variety of travelling wave solutions with distinct physical structures such as soliton, singular soliton, kink, singular kink, bell-shaped soltion, anti-bell-shaped soliton, periodic, exact periodic and bell type solitary wave solutions. Solutions provided by this method are numerous comparing to other methods. To understand the physical aspects and importance of the method, solutions have been graphically simulated. Our results unquestionably disclose that new generalized ((G')⁄G)-expansion method is incredibly influential mathematical tool to work out new solutions of various types of nonlinear partial differential equations arises in the fields of applied sciences and engineering. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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