Smooth soliton solutions of a new integrable equation by Qiao

Abstract

We find a transformation which relates a new third-order integrable nonlinear evolution equation, introduced recently by Qiao, with the well-known modified Korteweg - de Vries equation. Then we use this transformation to derive smooth soliton solutions of the new equation from the known rational and soliton solutions of the old one.

arXiv comment10 pages, 10 figures

References in corpus (2)

• Solitary wave solutions of the short pulse equation
• On integrability of one third-order nonlinear evolution equation

Cited by in corpus (6)

• Transformation and integrability of a generalized short pulse equation
• Dark solitons of the Qiao's hierarchy
• Integrability of a generalized short pulse equation revisited
• On the Cauchy problem for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity
• N-soliton solutions of an integrable equation studied by Qiao
• Stability of peakons for a modified Camassa-Holm equation