A bidirectional fifth-order partial differential equation: Lax representation and soliton solutions

In this paper, we study the bidirectional fifth-order partial differential equation uttt−uxxxxt−4(uxut)xx−4(uxuxt)x=0, which was proposed as a new integrable equation by Wazwaz [Phys. Scr. 83, 015012 (2011)]. By means of the prolongation structure method of Wahlquist and Estabrook [J. Math. Phys. 16...

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Veröffentlicht in:	Journal of mathematical physics 2024-10, Vol.65 (10)
Hauptverfasser:	Zang, Liming, Yao, Lei, Liu, Q. P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Partial differential equations Prolongation Representations Solitary waves
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