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Dullin-Gottwald-Holm方程的新的精确解(英文) 被引量：1

New Exact Solutions to the Dullin-Gottwald-Holm Equation
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摘要 利用F展开法探讨了Dulliln-Gottwald-Holm方程,并获得了一些更一般的新的精确线,譬如尖峰波、孤立波型的精确解,周期行波解和有界波解。 In this paper, we adopt F-extended method to study the DGH equation. As a result, many new exact solutions which are also more general were obtained, such as peakons, exact solutions with solitary wave pattern, the periodic traveling wave and bounded wave solutions.
作者 肖光灿 鲜大权 肖潇
机构地区 西南科技大学理学院 阿德莱德大学电子与电力工程学院
出处 《西南科技大学学报》 CAS 2010年第2期93-99,共7页 Journal of Southwest University of Science and Technology
关键词 DGH方程 F展开法 孤立波解 周期解 双周期 DGH equation F-extended method Solitary wave solutions Periodic solution Double period.
分类号 O193 [理学—基础数学]
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参考文献9

  • 1Camassa, R. , D. D. Holm,Phys. Rev. Lett. 1993,71(11) :1661.
  • 2Camassa, R. , D. D. Holm, J. M. Hyman, Math. Comput. 2003,145:351 - 359.
  • 3Dullin, H. R., G. A. Gottwald, D. D. Holm. Phys. Rev. Lett. 2001,87(9) :4501.
  • 4Dullin, H. R., G. A. Gottwald, D. D. Holm. Phys D. 2004,190(1):1.
  • 5LIU Shi -kuo, LIU Shi -da. Nonlinear Equations in Physics. Beijing:Peking University Press, 1997.52 -53: (in Chinese).
  • 6SHANG Y. D. ,Chaos Solitons Fractals. 2005,25:1083.
  • 7SHANG Y. D. , Shang, Appl, Math. Comput. 2006,173 : 1121.
  • 8SHANG Y. D. , Shang. Appl. Math. Comput. 2006,173 : 1137.
  • 9XIAO Guang - can, XIAO Da - Quang, LIU Zi - qiang. Applied Mathematics and Computation, 2009, 210:535 - 541.

同被引文献11

  • 1石玉仁,许新建,吴枝喜,汪映海,杨红娟,段文山,吕克璞.同伦分析法在求解非线性演化方程中的应用[J].物理学报,2006,55(4):1555-1560. 被引量：27
  • 2闫志莲,刘希强.广义Zakharov-Kuznetsov方程的对称及精确解(英文)[J].原子与分子物理学报,2007,24(1):141-144. 被引量：4
  • 3SHIVAMOGGI B K. Painleve test for the Zakharov - Kuznetsov equation [ J ]. Phys, Scripta, 1996, 42:641 - 648.
  • 4MOUSSAM H M. Similarity solutions to nonlinear partial differential equation of physical phenomena represented by the Z-K equation[J]. [nt J Eng Sci, 2001, 39: 1565 - 1571.
  • 5WAZWAZ A M. Exact solutions with solutions and peri- odic structures for the Zakharov - Kuznetsov equation and its modified form [ J ] Communications in Nonlinear Sci- ence and Numerical Simulation, 2005, 10:597 -606.
  • 6WAZWAZ A M. The extended tanh method for the Z - K equation, the modified Z - K equation, and its general- ized forms [ J ]. Communications in Nonlinear Science and Numerical Simulations [ In Press] dor 10. 1016/j. cnsns. 2006,10:007.
  • 7DENG Chao -fang. New Exact Solutions to the Zakharov -Kuznetsov and its generalized form[ J. Commun Non- linear Sci Numer Simulat,2010, 15 : 857 - 868.
  • 8XIAN Da -quan. Saddle - node heteroclinic orbit and ex- act nontraveling wave solutions for ( 2 + 1 ) D KdV - Bur- gers Equation [ J] . Abstract and Applied Analysis, 2013, 696074:1 -7.
  • 9ZHANG S. A generalized auxiliary equation method and its application to (2 + 1 ) D KdV equations [ J ]. Compu. and Math. with App. , 2007, 54 : 1028 - 1038.
  • 10杨征,马松华,方建平.(2+1)维Zakharov-Kuznetsov方程的精确解和孤子结构[J].物理学报,2011,60(4):92-96. 被引量：13

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西南科技大学学报
2010年 第2期

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