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.
|الصفحات (من إلى)||1125-1137|
|دورية||Romanian Reports in Physics|
|حالة النشر||Published - 2013|
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