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一类非线性发展方程的精确行波解 被引量:1

Exact Traveling Solutions to a Kind of Nonlinear Evolution Equation
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摘要  借助Maple软件,采用吴方法及改进的齐次平衡法,研究了一类非线性演化方程的精确行波解。作为此类方程的特例,具体求解Jumbo Miwa方程,得到新的孤波解和周期解,其中包含L櫣的结果庵址椒ㄒ彩屎涎芯科渌姆窍咝匝莼匠獭? With the help of software Maple, Wu's method and Improved Homogeneous Balance Method are used to study exact traveling solutions of a kind of nonlinear evolution equation. This way Jumbo-Miwa equation can be solved , and new solitary wave solutions and periodic wave solutions obtained, including Lü's results. This approach can also be applied to figure out other nonlinear evolution equations.
作者 姜东梅
出处 《北京联合大学学报》 CAS 2005年第2期51-53,共3页 Journal of Beijing Union University
关键词 齐次平衡法 孤波解 周期解 homogeneous balance method solitary wave solution periodic wave solution
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参考文献7

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二级参考文献36

共引文献415

同被引文献6

  • 1Fan Engui, Zhang Hongqing. A note on the homogeneous balance method[J]. Physics Letters A, 1998 (246): 403- 406.
  • 2Yan Zhenya. Generalized method and its application in the higher-order nonlinear Schrodinger equation in nonlinear optical fibres[J]. Chaos Solitons and Fractals, 2003 (16): 759- 766.
  • 3Fan Engui, Hon Y C. Applications of extended tanh method to ‘special' types of nonlinear equations [J]. Applied Mathematics and computation, 2003 (141): 351- 358.
  • 4Huang D J, Li D S, Zhang H Q. Explicit and exact traveling wave solutions for generalized derivative Schrodinger equation[ J]. Chaos, Solitons and Fractals 2007(31 ) :586 - 593.
  • 5Lu Zhuosheng, Zhang Hongqing. Soliton-like and period form solutions for high dimensional nonlinear evolution equations[J]. Chaos, Solitons and Fractals, 2003 (17): 669- 673.
  • 6王明亮,李志斌,周宇斌.齐次平衡原则及其应用[J].兰州大学学报(自然科学版),1999,35(3):8-16. 被引量:183

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