Integrability and exact solutions of deformed fifth-order Korteweg–de Vries equation
| Autor: | R Sahadevan, S. Suresh Kumar |
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| Rok vydání: | 2020 |
| Předmět: |
Conservation law
010308 nuclear & particles physics Group (mathematics) General Physics and Astronomy Function (mathematics) 01 natural sciences Symmetry (physics) 010305 fluids & plasmas Nonlinear Sciences::Exactly Solvable and Integrable Systems 0103 physical sciences Lax pair Homogeneous space Korteweg–de Vries equation Differential (mathematics) Mathematical physics Mathematics |
| Zdroj: | Pramana. 94 |
| ISSN: | 0973-7111 0304-4289 |
| DOI: | 10.1007/s12043-020-02005-9 |
| Popis: | We consider a deformed fifth-order Korteweg–de Vries (D5oKdV) equation and investigated its integrability and group theoretical aspects. By extending the well-known Lax pair technique, we show that the D5oKdV equation admits a Lax representation provided that the deformed function satisfies certain differential constraint. It is observed that the D5oKdV equation admits the same differential constraint (on the deforming function) as that of the deformed Korteweg–de Vries (DKdV) equation. Using the Lax representation, we show that the D5oKdV equation admits infinitely many conservation laws, which guarantee its integrability. Finally, we apply the Lie symmetry analysis to the D5oKdV equation and derive its Lie point symmetries, the associated similarity reductions and the exact solutions. |
| Databáze: | OpenAIRE |
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