Soliton Solution of Some Nonlinear PDEs and Its Applications

The variable coefficient 3 + 1 dimensional coupled Nonlinear Schrödinger (NLS) equation is investigated, the equation is transformed into a form of bilinear expressions by the bilinear method, the single and double soliton solutions of the equation are obtained by using symbolic computation. The Bac...

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Veröffentlicht in:	International journal of applied and computational mathematics 2022-04, Vol.8 (2), Article 69
Hauptverfasser:	Akuamoah, Saviour Worlanyo, Ayimah, John Coker, Mahama, Francois, Bonsi, Prosper Obed
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Applied mathematics Computational mathematics Computational Science and Engineering Full Length Article Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nonlinear differential equations Nuclear Energy Operations Research/Decision Theory Solitary waves Theoretical
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Zusammenfassung:	The variable coefficient 3 + 1 dimensional coupled Nonlinear Schrödinger (NLS) equation is investigated, the equation is transformed into a form of bilinear expressions by the bilinear method, the single and double soliton solutions of the equation are obtained by using symbolic computation. The Backlund transformation (BTs) in the bilinear form using the bilinear exchange formular was also deduced.
ISSN:	2349-5103 2199-5796
DOI:	10.1007/s40819-022-01276-7