量子电子学报, 2016, 33 (6): 680, 网络出版: 2017-01-03   

基于exp[-φ(ξ)]-展开法求变系数 非线性发展方程的精确解

Exact solutions of nonlinear evolution equations with variable coefficients based onexp[-φ(ξ)]-expansion method
作者单位
内蒙古师范大学数学科学学院, 内蒙古 呼和浩特 010022
引用该论文

王晓利, 斯仁道尔吉. 基于exp[-φ(ξ)]-展开法求变系数 非线性发展方程的精确解[J]. 量子电子学报, 2016, 33(6): 680.

WANG Xiaoli, Sirendaoerji. Exact solutions of nonlinear evolution equations with variable coefficients based onexp[-φ(ξ)]-expansion method[J]. Chinese Journal of Quantum Electronics, 2016, 33(6): 680.

参考文献

[1] Li Zhibin. Traveling Wave Solution of Nonlinear Mathematical and Physical Equations (非线性数学物理方法的行波解) [M]. Beijing: Science Press, 2007 (in Chinese).

[2] Gu C H, Hu H S, Zhou Z X. Darboux Transformation in Soliton Theory and Its Geometric Applications (孤立子理论中的 Darboux变换及其几何应用) [M]. Shanghai: Scientific and Technical Press, 1999 (in Chinese).

[3] Hirota R. Exact solution of the KdV equation for multiple collisions of solitions [J]. Phys. Rev. Lett., 1971, 27(18): 1192-1194.

[4] Steeb W H, Euler N. Nonlinear evolution equations and Painlevé test [J]. International Journal of Modern Physics A, 1992, 7(8): 344-354.

[5] Ablowitz M J, Clarkson P A. Solitons, Nonlinear Evolution Equations and Inverse Scattering [M]. Cambridge: Cambridge University Press, 1991: 123-136.

[6] Sirendaoerji. Auxiliary equation method and solitary wave solutions to nonlinear evolution equations [J]. Journal of Inner Mongolia Normal University (Natural Science Edition) (内蒙古师范大学学报(自然科学报)), 2003, 35(2): 127-131 (in Chinese).

[7] Parkes E J, Duffy B R. An automated tanh-function for finding solitary wave solutions to non-linear evolution equations [J]. Comput. Phys. Commun., 1996, 98: 288-300.

[8] Liu S K, Fu Z T, Liu S D. Expansion method about the Jacobi elliptic function and its applications to nonlinear wave equations [J]. Acta Phys. Sin. (物理学报), 2001, 50(11): 2068-2073 (in Chinese).

[9] Wang M L, Zhang J L, Li X Z. The G′/G-expansion method and traveling wave solutions of nonlinear evolution equation in mathematical physics [J]. Phys. Lett. A, 2008, 372(4): 417-423.

[10] Abdelrahman M A E, Zahran E H M, Khater M M A. Exact traveling wave solutions for power law and Kerr law non linearity using the exp[-φ(ξ)]-expansion method [J]. Global Journal of Science Frontier Research, 2014, 14: 52-60.

[11] Maha S M S. The exp[-φ(ξ)] method and its applications for solving some nonlinear evolution equations in mathematical physics [J]. American Journal of Computational Mathematics, 2015, 5(4): 468-480.

[12] Meng G Q, Yu X, Gao Y T, et al. Painlevé analysis, Lax pair, Bcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV-mKdV equation in fluids and plasmas [J]. Phys. Scr., 2012, 85(5): 1-12.

[13] Triki H, Taha T R, Wazwaz A M. Solitary wave solutions for a generalized KdV-mKdV equation with variable coeffcients [J]. Math. Comput. Simul., 2010, 80(9): 1867-1873.

[14] Taogetusang, Sirendaoerji. New solutions of the combined KdV equation with the variable coefficients[J]. Chinese Journal of Quantum Electronics (量子电子学报), 2009, 2(2): 148-154 (in Chinese).

[15] Sun Y Z, Wang Z L, Wang G W, et al. Soliton solutions for generalized fifth-order KdV and BBM equations with variable coefficients [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2013, 30(4): 398-404 (in Chinese).

[16] Hong B J, Lu D C. New soliton-like solutions to the (2+1)-dimensional Broer-Kaup equation with variable coefficients [J]. Journal of Atomic and Molecular Physics (分子与原子物理学报), 2008, 25(1): 130-134 (in Chinese).

[17] Ma S H, Ren Q B, Fang J P, et al. Special soliton structures and the phenomena of fission and annihilation of solitons for the (2+1)-dimensional Broer-Kaup system with variable coefficients [J]. Acta Phys. Sin. (物理学报), 2007, 5(12): 6777-6783 (in Chinese).

王晓利, 斯仁道尔吉. 基于exp[-φ(ξ)]-展开法求变系数 非线性发展方程的精确解[J]. 量子电子学报, 2016, 33(6): 680. WANG Xiaoli, Sirendaoerji. Exact solutions of nonlinear evolution equations with variable coefficients based onexp[-φ(ξ)]-expansion method[J]. Chinese Journal of Quantum Electronics, 2016, 33(6): 680.

本文已被 1 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!