Integrability for the generalised variable-coefficient fifth-order Korteweg–de Vries equation with Bell polynomials
| Autor: | Chaolu Temuer, Yun-Qing Yang, Yun-Hu Wang |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Polynomial
Integrable system Applied Mathematics Mathematical analysis Bell polynomials Dispersionless equation Nonlinear Sciences::Exactly Solvable and Integrable Systems Lax pair Applied mathematics Soliton Korteweg–de Vries equation Nonlinear Sciences::Pattern Formation and Solitons Mathematics Variable (mathematics) |
| Zdroj: | Applied Mathematics Letters. 29:13-19 |
| ISSN: | 0893-9659 |
| DOI: | 10.1016/j.aml.2013.10.007 |
| Popis: | In the present paper, a direct and unifying Bell polynomial approach is employed to find the bilinear representations, bilinear Backlund transformation and Lax pair of a generalised variable-coefficient fifth-order Korteweg–de Vries equation. Note that the integrable constraint conditions on the variable coefficients can be naturally found in the procedure of applying the Bell polynomials. In addition, with the help of the Hirota bilinear method, the N -soliton solutions of this equation are also obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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