Abundant new exact solutions of the coupled potential KdV equation and the modified KdV-type equation

作者：Yan ZY^*

来源：Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2001, 56(12): 809-815.

DOI：10.1515/zna-2001-1203

• coupled potential KdV equation
• modified KdV-type equation
• soliton solutions
• periodic solutions
• rational solutions

Exact solutions of nonlinear evolution equations (NLEEs)in soliton theory and their applications are studied. A powerful method is established to search for exact travelling wave solutions of NLEEs. We chose the coupled potential KdV equation and modified KdV-type equations presented by Foursov to illustrate the approach with the aid of Maple. As a result, eight families of exact solutions of the coupled potential KdV equation and nine families of exact solutions of the modified KdV-type equations are obtained, which contain new kink-Like soliton solutions, kink-shaped solitons, bell-shaped solitons, periodic solutions, rational solutions and singular solitons. The properties of the solutions are shown in figures.

• 出版日期2001-12
• 单位大连理工大学