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Periodic Wave Solutions and Their Limits for the Modified Kd V–KP Equations 被引量：3

Periodic Wave Solutions and Their Limits for the Modified Kd V–KP Equations
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摘要 In this paper, we use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the modified KdV-KP equations. Some explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain solitary wave solutions, periodic wave solutions, kink wave solutions and unbounded solutions. In this paper, we use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the modified KdV-KP equations. Some explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain solitary wave solutions, periodic wave solutions, kink wave solutions and unbounded solutions.
作者 Ming SONG Zheng Rong LIU Chen Xi YANG
机构地区 Department of Mathematics Department of Mathematics Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第6期1043-1056,共14页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China(Grant Nos.11361069 and 11171115)
关键词 Bifurcation method modified KdV-KP equation periodic wave solutions limits Bifurcation method, modified KdV-KP equation, periodic wave solutions, limits
分类号 O175 [理学—基础数学]
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  • 1Chen, M., Liu, S. Q., Zhang, Y. J.: A 2-component generalization of the Cammassa-Holm equation and its solution. Letters in Math. Phys., 75, 1-15 (2006)
  • 2Cammasa, R., Holm, D. D.: An integrable shallow water equation with peaked solution. Phys. Rev. Lett., 71, 1161-1164 (1993)
  • 3Cammasa, R., Holml D. D., Hyman, J. M.: A new integrable shallow water equation. Adv. Appl. Mech., 31, 1-33 (1994)
  • 4Li, J. B., Dai, H. H.: On the Study of Singular Nonlinear Travelling Wave Equations, Dynamical Approach, Science Press, Beijing, 2007
  • 5Li, J. B., Wul J. H.,Zhu, H. P.: Travelling waves for an integrable higher order kdV type wave equations. International Journal of Bifurcation and Chaos, 16(8), 2235-2260 (2006)
  • 6Li, J. B., Chen, G. R.: On a class of singular nonlinear traveling wave equations. International Journal of Bifurcation and Chaos, 17(11), (2007)
  • 7Perko, L.: Differential Equations and Dynamical Systems, Springer-Verlag, New York, 1991
  • 8Byrd, P. F., Fridman, M. D.: Handbook of Elliptic Integrals for Engineers and Sciensists, Springer, Berlin, 1971

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Acta Mathematica Sinica,English Series
2015年 第6期

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