TOPOLOGICAL SOLITONS AND OTHER SOLUTIONS TO POTENTIAL KORTEWEG-DE VRIES EQUATION
Articles > Article ยท 2013
Authors: Anjan BISWAS, Sachin KUMAR, E. V. KRISHNAN, Bouthina AHMED, Andre STRONG, Stephen JOHNSON, Ahmet YILDIRIM
ROMANIAN REPORTS IN PHYSICS, Journal Indexed in SCI Expanded, International, 2013, vol 65, pp 1125-1137
Summary
This 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.