摘要
利用同伦分析法求解了修正的Kadomtsev-Petviashvili方程,得到了它的近似孤立波解,该解与精确解符合得非常好.结果表明,同伦分析法在求解高维非线性演化方程的孤立波解时,仍然是一种行之有效的方法.
We obtained a class of approximate solitary wave solutions for the (2 + 1 )-dimensional modified Kadomtsev-Petviashvili equation by using the homotopy analysis method (HAM). The solutions obtained agree very well with the exact solutions. The results indicate that the HAM is still valid for solving solitary wave solutions of a class of higher dimensional evolution equations.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2007年第12期6791-6796,共6页
Acta Physica Sinica
基金
国家自然科学基金(批准号:10247008)资助的课题.~~