A further improved extended Fan sub-equation method and its application to the (3+1)-dimensional Kadomstev-Petviashvili equation

作者：Zhang Sheng^*; Xia TieCheng

来源：Physics Letters A, 2006, 356(2): 119-123.

DOI：10.1016/j.physleta.2006.03.027

• the modified extended Fan sub-equation method
• soliton-like solutions
• triangular-like solutions
• Jacobi elliptic wave function-like solutions
• Weierstrass elliptic doubly-like periodic solutions

A further improved extended Fan sub-equation method is proposed to seek more types of exact solutions of non-linear partial differential equations. Applying this method to the (3 + 1)-dimensional Kadomstev-Petviashvili equation, we obtain many new and more general non-travelling wave solutions including soliton-like solutions, triangular-like solutions, single and combined non-degenerate Jacobi elliptic wave function-like solutions, Weierstrass elliptic doubly-like periodic solutions.

• 出版日期2006-7-31
• 单位渤海大学; 上海大学