Topological solitons and other solutions to potential Korteweg-de Vries equationBiswas A. ; Kumar S. ; Krishnan E. ; Bouthina Ahmed ; Strong A. ; Johnson S. ; Johnson S. ; Yildirim A.
AbstractThis paper studies the potential Korteweg-de Vries equation. The topological soliton solution is obtained by the aid of ansatz method. The mapping method reveals a list of solutions that include cnoidal waves, snoidal waves and singular solutions in three limiting cases. The Lie symmetry analysis is carried out to obtain several other solutions. Finally, a numerical simulation of the topological soliton is also given in this paper.
|Issue Date||18-Dec-2013||Journal||Romanian Reports in Physics||URI||http://research.asu.edu.eg/handle/123456789/1993||DOI||4
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