首次积分法求Modified Equal Width波方程的精确解
摘要
非线性偏微分方程的精确解在力学、工程学以及其他科学应用方面都有很重要的意义.利用首次积分法研究了非线性偏微分方程:Modified Equal Width wave(MEW)equation的精确解.
出处
《平顶山学院学报》
2010年第2期49-52,共4页
Journal of Pingdingshan University
参考文献7
-
1Evans D J,Raslan K R.The tanh function method for solving some important non-linear partial differential equation[J].Int J Comput Math,2005,82(7):897-905.
-
2Wu X H,He J H.Exp-function method and its application to nonlinear equations[J].Chaos,Solitons & Fractals,2008,38(3):903-910.
-
3Tang X Y,Lou S Y.Abundant coherent structures of the dispersive long-wave equation in (2+1)-dimensional spaces[J].Chaos,Solitons & Fractals,2002,14(9):1451-1456.
-
4Li H,Guo Y.New exact solutions to the Fitzhugh-Nagumo equation[J].Appl Math Comput,2006,180:524-528.
-
5Raslan K R.The first integral method for solving some important nonlinear partial differential equations[J].Nonlinear dynamics,2008,53(4).
-
6Rui W G,Xie Sh L,Long Y,et al.Integral Bifurcation Method and Its Application for Solving the Modified Equal Width Wave Equation and Its Variants[J].Rostock Math Kolloq,2007,62:87-106.
-
7丁玉敏,冀小明.利用EXP-函数展开法求解Modified Equal Width波方程的精确解[J].西南民族大学学报（自然科学版）,2008,34(1):20-26. 被引量：3
二级参考文献9
-
1芮伟国,谢绍龙,冀小明.Equal Width波方程的精确行波解与波的动态模拟(英文)[J].西南民族大学学报（自然科学版）,2006,32(5):851-857. 被引量：4
-
2赵云梅,冀小明,芮伟国.Equal Width波方程的几种新解[J].西南民族大学学报（自然科学版）,2007,33(2):244-249. 被引量：2
-
3ESEN A, KUTLUAY S. Solitary wave solutions of the modified equal width wave equation[J]. Commun Nonlinear Sci Numcr Simul, 2006, 9: 18.
-
4JUNFENG LU. He's variational iteration method for the modified equal width equation[J]. Chaos, Solitons & Fractals, 2007, 6: 104.
-
5S.I. ZAKI. Solitary wave interactions for the modified equal width equation[J]. Computer Physics Communications, 2000, 126: 219-231.
-
6BULENT SAKA. Algorithms for numerical solution of the modified equal width wave equation using collocation method[J]. Mathematical and Computer Modelling, 2007, 45:1096-1117.
-
7ABDUL-MAJID WAZWAZ. The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants[J]. Communications in Nonlinear Science and Numerical Simulation, 2006, 11: 148-160.
-
8HE J.-H., WU X.-Z. Exp-function method fo nonlinear wave equations. Chaos, Solitons[J]. Fractals, 2006, 30: 700-708.
-
9ZHANG S. Application of Exp-function method to a Kdv equation with variable coefficients[J]. Physics Leters A, 2007, 365: 448-453.
-
1赵云梅,冀小明,芮伟国.Equal Width波方程的几种新解[J].西南民族大学学报（自然科学版）,2007,33(2):244-249. 被引量：2
-
2赵云梅,谢绍龙,陈德华.Equal Width波方程的孤立波解雨周期波解[J].玉溪师范学院学报,2007,23(3):1-5.
-
3赵云梅,芮伟国.Equal Width波方程的各种椭圆函数周期解和孤子解[J].四川师范大学学报（自然科学版）,2008,31(2):190-193. 被引量：11
-
4赵云梅,芮伟国.用EXP-函数法求Equal Width波方程的精确解[J].河南科技大学学报（自然科学版）,2008,29(2):94-98. 被引量：6
-
5何晓莹,赵展辉,韩松.应用首次积分法求非线性薛定谔方程的精确解[J].广西科技大学学报,2014,25(4):19-22. 被引量：2
-
6高勇强.关于Chaffee-Infante方程精确解的另一种求法[J].廊坊师范学院学报（自然科学版）,2009,9(3):11-15.
-
7刁群,王书敏.首次积分法求Modified Regularized Long Wave方程的解[J].平顶山学院学报,2013,28(2):6-9.
-
8刁群,罗娟.首次积分法求达芬方程的精确解[J].许昌学院学报,2013,32(5):1-3.
-
9李钊,孙峪怀,黄春.首次积分法及其在非线性电报方程中的应用[J].成都大学学报（自然科学版）,2015,34(1):29-31. 被引量：4
-
10芮伟国,谢绍龙,冀小明.Equal Width波方程的精确行波解与波的动态模拟(英文)[J].西南民族大学学报（自然科学版）,2006,32(5):851-857. 被引量：4
