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新(2+1)-维破碎孤子方程的精确行波解 被引量:2

Exact Traveling Wave Solutions for New (2+1)-Dimensional Breaking Soliton Equation
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摘要 用平面动力系统方法研究新(2+1)-维破碎孤子方程的精确行波解,在不同的参数条件下,获得了该方程的孤立波解和周期波解的精确的显式参数表达式。 By using the method of dynamical systems to new(2 +1)-dimensional breaking soliton equations,the existence of exact traveling wave solutions is shown.Under different parametric conditions,explicit exact parametric representations for the solitary wave solutions and periodic wave solutions are obtained.
作者 徐园芬
机构地区 浙江万里学院
出处 《浙江万里学院学报》 2011年第1期81-83,94,共4页 Journal of Zhejiang Wanli University
基金 宁波市自然科学基金(编号:2008A610029)
关键词 动力系统方法 孤立波解 周期波解 破碎孤子方程 dynamical systems method solitary wave solution periodic wave solution breaking soliton
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  • 1Zhang J E, Chen C L, Li Y S. On Boussinesq models of constant depth. Physics of Fluids, 16(5): 1287 1296 (2004). 被引量:1
  • 2Chen C L, Lou S Y, Li Y S. Solitary wave solutions for a general Boussinesq type fluid model. Comrnun Nonlinear Sci Numer Simul, 9:583-601 (2004). 被引量:1
  • 3Li Y S, Ma W X, Zhang J E. Darboux transformations of classical Boussinesq system and its new solution. Phys Lett A, 275:60-66 (2000). 被引量:1
  • 4Li Y A. Weak solutions of generalized Boussinesq system. J Dynam Differential Equations, 11(4): 625-669 (1999). 被引量:1
  • 5Li J B, Dai H H. On the Study of Singular Traveling Wave Equations: Dynamical System Approach. Beijing: Science Press, 2007. 被引量:1
  • 6Li J B, Wu J H, Zhu H P. Travelling waves for an integrable higher order KdV type wave equations, lnt J Bifurcation Chaos, 16(8): 2235-2260 (2006). 被引量:1
  • 7Li J B, Chen G R, On a class of singular nonlinear traveling wave equations. Int J Bifurcation Chaos, 17(11): 4049-4065 (2007). 被引量:1
  • 8Byrd P F, Fridman M D. Handbook of Elliptic Integrals for Engineers and Sciensists. Berlin: Springer, 1971. 被引量:1
  • 9Kadomtsev B B, Petviashvili V I. On the stability of solitary waves in weakly dispersive media[J]. Sov Phys, 1970, 15: 539-541. 被引量:1
  • 10Zakharov V E, Kuznetsov E A. On the three-dimensional solitons[J]. Sov Phys, 1974, 39: 285-288. 被引量:1

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