A series of abundant exact travelling wave solutions for a modified generalized Vakhnenko equation using auxiliary equation method

作者：Ma, Yulan; Li, Bangqing^*; Wang, Cong

来源：Applied Mathematics and Computation, 2009, 211(1): 102-107.

DOI：10.1016/j.amc.2009.01.036

• Auxiliary equation method
• Modified generalized Vakhnenko equation
• Jacobi elliptic function
• Travelling wave solution
• Soliton solution

In this paper, a series of abundant exact travelling wave solutions is established for a modified generalized Vakhnenko equation by using auxiliary equation method. These solutions can be expressed by Jacobi elliptic function. When Jacobi elliptic functions modulus m -> 1 or 0, the travelling wave solutions degenerate to four types of solutions, namely, the soliton solutions, the hyperbolic function solutions, the trigonometric function solutions, constant solutions.

• 出版日期2009-5-1
• 单位北京工商大学; 中国矿业大学（北京）