The extended homogeneous balance method and its applications for a class of nonlinear evolution equations
作者： SA El-Wakil , EM Abulwafa , A Elhanbaly , MA Abdou , None
DOI: 10.1016/J.CHAOS.2006.03.010
关键词: Maple 、 Algebraic number 、 Mathematical analysis 、 Class (set theory) 、 Riccati equation 、 Homogeneous 、 Nonlinear evolution 、 Balance (metaphysics) 、 Harmonic balance 、 Mathematics 、 General Mathematics
摘要: Abstract The extended homogeneous balance method with the aid of computer algebraic system Maple, is proposed for seeking travelling wave solutions a class nonlinear evolution equations, in which applied to solve Riccati equation and reduced respectively. Many new exact are successfully obtained. straightforward concise, it can be also other equations.
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sci-hub.se 参考文章(16)
S.A. Elwakil, S.K. El-labany, M.A. Zahran, R. Sabry, Exact travelling wave solutions for the generalized shallow water wave equation Chaos Solitons & Fractals. ,vol. 17, pp. 121- 126 ,(2003) , 10.1016/S0960-0779(02)00414-9
Mingliang Wang, Xiangzheng Li, Extended F-expansion method and periodic wave solutions for the generalized Zakharov equations Physics Letters A. ,vol. 343, pp. 48- 54 ,(2005) , 10.1016/J.PHYSLETA.2005.05.085
Mingliang Wang, Yubin Zhou, Zhibin Li, Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics Physics Letters A. ,vol. 216, pp. 67- 75 ,(1996) , 10.1016/0375-9601(96)00283-6
Miki Wadati, H. Segur, M. J. Ablowitz, A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities Journal of the Physical Society of Japan. ,vol. 61, pp. 1187- 1193 ,(1992) , 10.1143/JPSJ.61.1187
Shikuo Liu, Zuntao Fu, Shida Liu, Qiang Zhao, JACOBI ELLIPTIC FUNCTION EXPANSION METHOD AND PERIODIC WAVE SOLUTIONS OF NONLINEAR WAVE EQUATIONS Physics Letters A. ,vol. 289, pp. 69- 74 ,(2001) , 10.1016/S0375-9601(01)00580-1
Engui Fan, Jian Zhang, Applications of the Jacobi elliptic function method to special-type nonlinear equations Physics Letters A. ,vol. 305, pp. 383- 392 ,(2002) , 10.1016/S0375-9601(02)01516-5
M. Wadati, H. Sanuki, K. Konno, Relationships among Inverse Method, Bäcklund Transformation and an Infinite Number of Conservation Laws Progress of Theoretical Physics. ,vol. 53, pp. 419- 436 ,(1975) , 10.1143/PTP.53.419
Mingliang Wang, Exact solutions for a compound KdV-Burgers equation Physics Letters A. ,vol. 213, pp. 279- 287 ,(1996) , 10.1016/0375-9601(96)00103-X
Mingliang Wang, SOLITARY WAVE SOLUTIONS FOR VARIANT BOUSSINESQ EQUATIONS Physics Letters A. ,vol. 199, pp. 169- 172 ,(1995) , 10.1016/0375-9601(95)00092-H
S.A. Elwakil, S.K. El-labany, M.A. Zahran, R. Sabry, New exact solutions for a generalized variable coefficients 2D KdV equation Chaos Solitons & Fractals. ,vol. 19, pp. 1083- 1086 ,(2004) , 10.1016/S0960-0779(03)00276-5