变系数(2+1)维Nizhnik-Novikov-Vesselov方程的三孤子新解*

徐兰兰*; 陈怀堂?

doi:10.7498/aps.62.090204

物理学报

变系数(2+1)维Nizhnik-Novikov-Vesselov方程的三孤子新解*

徐兰兰*, 陈怀堂?. 2013: 变系数(2+1)维Nizhnik-Novikov-Vesselov方程的三孤子新解*, 物理学报, null(9): 27-32. doi: 10.7498/aps.62.090204

引用本文:

徐兰兰*, 陈怀堂?. 2013: 变系数(2+1)维Nizhnik-Novikov-Vesselov方程的三孤子新解*, 物理学报, null(9): 27-32. doi: 10.7498/aps.62.090204

2013: New three-soliton solutions to (2+1)-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients?, Acta Physica Sinica, null(9): 27-32. doi: 10.7498/aps.62.090204

Citation:

2013: New three-soliton solutions to (2+1)-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients?, Acta Physica Sinica, null(9): 27-32. doi: 10.7498/aps.62.090204

变系数(2+1)维Nizhnik-Novikov-Vesselov方程的三孤子新解*

临沂大学理学院,临沂 276005
山东师范大学数学科学学院,济南 250014

New three-soliton solutions to (2+1)-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients?

摘要: 本文为获得非线性发展方程的相互作用解,研究了辅助方程法,并扩展应用辅助方程法和(G′/G)展开法,获得了变系数非线性(2+1)维Nizhnik-Novikov-Vesselov方程的由椭圆函数、双曲函数、三角函数和有理函数混合构成的新相互作用解.
- (G′/G)展开法 /
- 辅助方程法 /
- 三孤子解
Abstract: In this paper, in order to obtain new solutions to nonlinear evolution equations, the auxiliary equation method and (G′/G)-expansion method are studied and extended. By using the method, many new exact solutions of the nonlinear (2+1)-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients are obtained. The interaction new solutions include Jacobi elliptic function, hyperbolic function, triangular function and rational function.