Negative-order modified KdV equations: multiple soliton and multiple singular soliton solutions

作者：Wazwaz, Abdul-Majid^*; Xu, Gui-Qiong

来源：Mathematical Methods in the Applied Sciences, 2016, 39(4): 661-667.

DOI：10.1002/mma.3507

• MKdV equation
• inverse recursion operator
• Painleve test
• multiple soliton solutions

In this work, we develop the negative-order modified Korteweg-de Vries (nMKdV) equation. By means of the recursion operator of the modified KdV equation, we derive negative order forms, one for the focusing branch and the other for the defocusing form. Using the Weiss-Tabor-Carnevale method and Kruskal's simplification, we prove the Painleve integrability of the nMKdV equations. We derive multiple soliton solutions for the first form and multiple singular soliton solutions for the second form.

• 出版日期2016-3
• 单位上海大学