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New soliton structures in the (2+1)-dimensional nonlinear KdV equations

Zhang Jie-Fang He Bao-Gang Xu Chang-Zhi

New soliton structures in the (2+1)-dimensional nonlinear KdV equations

Zhang Jie-Fang, He Bao-Gang, Xu Chang-Zhi
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  • Abstract views:  3561
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  • Received Date:  15 October 2004
  • Accepted Date:  22 March 2005
  • Published Online:  20 December 2005

New soliton structures in the (2+1)-dimensional nonlinear KdV equations

  • 1. (1)浙江师范大学非线性物理研究所,金华 321004; (2)浙江师范大学非线性物理研究所,金华 321004;金华教育学院物理系,金华 321000

Abstract: A new variable separation approach for the (2+1)-dimensional nonlinear KdV equations is obtained by using variable separation technique and selecting a class of new seed solutions. Some new kinds of periodic soliton structutres, ring form soliton structures and curvilinear soliton structures are revealed by selecting the arbitrary functions appropriately. These structures, which can not be obtained from the formula commonly used in literature, are first reported.

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