Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642421 | Journal of Computational and Applied Mathematics | 2008 | 9 Pages |
Abstract
In this paper, we study two types of genuinely nonlinear K(n,n)K(n,n) equations and a generalized KP equation. By developing a mathematical method based on the reduction of order of nonlinear differential equations, we derive general formulas for the travelling wave solutions of the three equations. The compactons, solitary patterns, solitons and periodic solutions obtained are expressed analytically. It is shown that the y and z components of the wave number vectors in the travelling wave solutions of the generalized KP equation remain free and arbitrary constants. The work generalizes the known results of travelling wave solutions for the three equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shaoyong Lai, Y.H. Wu, B. Wiwatanapataphee,