Variable separation solution and new soliton structures in the (2+1)-dimensional nonlinear Burgers equations

Xu Chang-Zhi; Zhang Jie-Fang

doi:10.7498/aps.53.2407

Abstract
A variable separation approach is applied to obtain the new exact explicit solution of (2+1)dimensional nonlinear Burgers equations. Using a B-cklund transformation and the variable separation technique, we find the variable separation solution of the (2+1)dimensional Burgers equations by the entrance of there arbitrary functions (one condition function) for the seed solution. Some special type of the kink soliton solution, periodic soliton solutions and lattice soliton solutions are discussed by selecting the arbitrary functions appropriately.

Keywords:
variable separation-solution /

nonlinear wave equation /

(2+1)dimensions
Authors and contacts
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. 53, Issue 8 - 2004-04-20

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Variable separation solution and new soliton structures in the (2+1)-dimensional nonlinear Burgers equations

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Variable separation solution and new soliton structures in the (2+1)-dimensional nonlinear Burgers equations

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