摘要We study a generalized nonlinear Boussinesq equation by introducing a proper functional and constructing the variational iteration sequence with suitable initial approximation. The approximate solution is obtained for the solitary wave of the Boussinesq equation with the variational iteration method.
Abstract:We study a generalized nonlinear Boussinesq equation by introducing a proper functional and constructing the variational iteration sequence with suitable initial approximation. The approximate solution is obtained for the solitary wave of the Boussinesq equation with the variational iteration method.
MO Jia-Qi. A Variational Iteration Solving Method for a Class of Generalized Boussinesq Equations[J]. 中国物理快报, 2009, 26(6): 60202-060202.
MO Jia-Qi. A Variational Iteration Solving Method for a Class of Generalized Boussinesq Equations. Chin. Phys. Lett., 2009, 26(6): 60202-060202.
[1] Ma S H, Qiang J Y and Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese) [2] Ma S H, Qiang J Y and Fang J P 2007 Commun. Theor.Phys. 48 662 [3] Loutsenko I 2006 Comm. Math. Phys. 268 465 [4] Gedalin M 1998 Phys. Plasmas 5 127 [5] Parkes E J 2008 Chaos Solitons Fractals 38 154 [6] Li X Z and Wang M L 2007 Phys. Lett. A 361 115 [7] Wang M L 1995 Phys. Lett. A 199 169 [8] Sirendaoreji J S 2003 Phys. Lett. A 309 387 [9] McPhaden M J and Zhang D 2002 Nature 415 603 [10] Gu D F and Philander S G H 1997 Science 275805 [11] Pan L X, Zuo W M and Yan J R 2005 Acta Phys. Sin. 54 1 (Chinese) [12] He J H 2006 Int. J. Mod. Phys. B 20 1141 [13] He J H 2002 Approximate Analytical Methods inEngineering and Sciences (Shengzhou: Henan Science and Technology)(in Chinese) [14] Ni W M and Wei J C 2006 J. Differ. Equations 221 158 [15] Bartier J P 2006 Asymptotic Anal. 46 325 [16] Llibre J and da Silva P R 2007 J. Dyn. Differ.Equations 19 309 [17] Guarguaglini F R and Natalini R 2007 Commun. PartialDiffer. Equations 32 163 [18] Mo J Q 1989 Sci. Chin. A 32 1306 [19] Mo J Q and Lin W T 2008 J. Sys. Sci. Complexity 20 119 [20] Mo J Q and Wang H 2007 Acta Ecologica Sin. 274366 [21] Mo J Q, Zhu J, Wang H 2003 Prog. Nat. Sci. 13768 [22] Mo J Q, Zhang W J and He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [23] Mo J Q, Zhang W J and Chen X F 2007 Acta Phys.Sin. 56 6169 (in Chinese) [24] Mo J Q 2009 Chin. Phys. Lett. 26 9 [25] Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [26] Mo J Q, Lin W T, Wang H 2008 Chin. Geograph. Sci. 18 193 [27] Mo J Q, Lin W T, Wang H 2007 Prog. Nat. Sci. 17 230 [28] Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [29] Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16951 [30] Mo J Q, Lin W T 2008 Chin. Phys. 17 370 [31] Zheng X, Zhang H Q, 2006 Acta Phys. Sin. 541476 [32] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. 17 2767 [33] Haraux A 1981 Nonlinear Evolution Equations: GlobalBehavior of Solutions (New York: Springer)