Novel composite function solutions of the modified KdV equation

A Wronskian form expansion method is proposed to construct novel composite function solutions to the modified Korteweg-de Vries (mKdV) equation. The method takes advantage of the forms and structures of Wronskian solutions to the mKdV equation, and Wronskian entries do not satisfy linear partial dif...

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Veröffentlicht in:	Applied mathematics and computation 2010-09, Vol.217 (1), p.283-288
Hauptverfasser:	Lü, DaZhao, Cui, YanYing, Lü, Cheng, Wei, ChuYuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Composite function Composite functions Computation Computer algebra Construction Exact sciences and technology Jacobi elliptic function Mathematical analysis Mathematical models Mathematics mKdV equation Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Wronskian
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Beschreibung
Zusammenfassung:	A Wronskian form expansion method is proposed to construct novel composite function solutions to the modified Korteweg-de Vries (mKdV) equation. The method takes advantage of the forms and structures of Wronskian solutions to the mKdV equation, and Wronskian entries do not satisfy linear partial differential equations. The method can be automatically carried out in computer algebra (for example, Maple).
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.05.059