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

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

doi:10.7498/aps.54.5525

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.

Keywords:
variable separation approach /

(2+1)-dimensional nonlinear KdV equation /

new soliton structures
Authors and contacts
He Bao-Gang²,

Xu Chang-Zhi²,

Zhang Jie-Fang¹

(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
References

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Vol. 54, Issue 12 - 2005-06-20

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

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