| Backlünd transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik－Novikov－Veselov equation |
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| 引用本文： | 白成林.Backlünd transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik－Novikov－Veselov equation[J].中国物理 B,2004,13(1):1-4. |
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| 作者姓名： | 白成林 |
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| 作者单位： | Department of Communication Engineering, Liaocheng University, Liaocheng 252059, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 60177009), and the Natural Science Foundation of Shandong Province, China (Grant No Q2003G07). |
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| 摘 要： | We develop an approach to construct multiple soliton solutions of the (3+1)-dimensional nonlinear evolution equation. We take the (3+1)-dimensional Nizhnik－Novikov－Veselov (NNV) equation as an example. Using the extended homogeneous balance method, one can find a Backlünd transformation to decompose the (3+1)-dimensional NNV into a set of partial differential equations. Starting from these partial differential equations, some multiple soliton solutions for the (3+1)-dimensional NNV equation are obtained by introducing a class of formal solutions.
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| 关 键 词： | 孤立子 扩展均匀平衡理论 Nizhnik-Novikov-Veselov方程 多孤立子解 非线性物理 |
| 收稿时间： | 2003-02-26 |
Backlünd transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik－Novikov－Veselov equation |
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| Bai Cheng-Lin.Backlünd transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik－Novikov－Veselov equation[J].Chinese Physics B,2004,13(1):1-4. |
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| Authors: | Bai Cheng-Lin |
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| Institution: | Department of Communication Engineering, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | We develop an approach to construct multiple soliton solutions of the (3+1)-dimensional nonlinear evolution equation. We take the (3+1)-dimensional Nizhnik－Novikov－Veselov (NNV) equation as an example. Using the extended homogeneous balance method, one can find a Backlünd transformation to decompose the (3+1)-dimensional NNV into a set of partial differential equations. Starting from these partial differential equations, some multiple soliton solutions for the (3+1)-dimensional NNV equation are obtained by introducing a class of formal solutions. |
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| Keywords: | soliton extended homogeneous balance method (3+1)-dimensional NNV equation |
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