Two new Wronskian conditions for the (3 + 1)-dimensional JimboaMiwa equation

Two new Wronskian conditions for the (3 + 1)-dimensional JimboaMiwa equation

In this paper, we obtain two kinds of sufficient conditions consisting of systems of linear partial differential equations, which guarantee that the corresponding Wroskian determinant solves the (3 + 1)-dimensional JimboaMiwa equation in the Hirota bilinear form. Our results suggest that more genera...

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Veröffentlicht in:Applied mathematics and computation 2012-06, Vol.218 (20), p.10050-10055
Hauptverfasser: Tang, Yaning, Tu, Junyi, Ma, Wen-Xiu
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Determinants
Mathematical analysis
Mathematical models
Partial differential equations
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Zusammenfassung:In this paper, we obtain two kinds of sufficient conditions consisting of systems of linear partial differential equations, which guarantee that the corresponding Wroskian determinant solves the (3 + 1)-dimensional JimboaMiwa equation in the Hirota bilinear form. Our results suggest that more general conditions could be derived by further study.
ISSN:0096-3003
DOI:10.1016/j.amc.2012.03.056