Appication of Symbolic Computation in the Variable-Coefficient mKP Equation
In: 2010 International Conference on System Science, Engineering Design and Manufacturing Informatization, 2010-11-01
Online
unknown
Zugriff:
In this paper, based on symbolic computation, we apply the Pfaffianization procedure of Ohta and Hirota to the variable-coefficient mKP (vcmKP) equation. We first present the N-soliton solutions in terms of Grammian determinant by employing the bilinear formalism . Then by applying the method of Pfaffianization to the vcmKP case, we derive the bilinear form of the Pfaffianized vcmKP equation. Finally by the dependent variable transformation, a new integrable, coupled vcmKP system in nonlinear form is derived. To our knowledge, the procedure of Pfaffianization has not been extended to the non-isospectral and variable-coefficient equations before. We expect that this Pfaffianization technique is applicable to other non-isospectral and variable-coefficient integrable equations which admit determinant solutions.
Titel: |
Appication of Symbolic Computation in the Variable-Coefficient mKP Equation
|
---|---|
Autor/in / Beteiligte Person: | Liu, Hongchao ; Zhang, Yuanyuan |
Link: | |
Zeitschrift: | 2010 International Conference on System Science, Engineering Design and Manufacturing Informatization, 2010-11-01 |
Veröffentlichung: | IEEE, 2010 |
Medientyp: | unknown |
DOI: | 10.1109/icsem.2010.135 |
Schlagwort: |
|
Sonstiges: |
|