| (2+1)维破裂孤子方程的多孤子解 |
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| 引用本文： | 何宝钢,张解放,黄文华.(2+1)维破裂孤子方程的多孤子解[J].商丘师范学院学报,2002,18(2):12-15. |
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| 作者姓名： | 何宝钢 张解放 黄文华 |
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| 作者单位： | 1. 金华职业技术学院,人文师范学院,浙江,金华,321000
2. 浙江师范大学,非线性物理研究室,浙江,金华,321000 |
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| 摘 要： | 使用齐次平衡方法，得到了（2＋1）维破裂孤子方程的一些新多孤子解，齐次平衡方法，能使复杂的（2＋1）维破裂孤子方程转化为简单的线性偏微分方程和双线性偏微分方程，然后通过特定的拟解，便可构造出（2＋1）维破裂孤子方程的丰富的孤子结构。
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| 关 键 词： | （2＋1）维 破裂孤子方程 多孤子解 齐次平衡法 |
| 文章编号： | 1008-2662(2002)02-0012-04 |
| 修稿时间： | 2001年11月19 |
Multisoliton solutions of the (2 + 1)-dimensional breaking soliton equation |
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| HE Bao-gang,ZHANG Jie-fang,HUANG Wen-hua.Multisoliton solutions of the (2 + 1)-dimensional breaking soliton equation[J].Journal of Shangqiu Teachers College,2002,18(2):12-15. |
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| Authors: | HE Bao-gang ZHANG Jie-fang HUANG Wen-hua |
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| Abstract: | Using the extension homogeneous balance method, we have obtain some new special types of soliton solutions of the (2 + 1) - dimensional breaking soliton equation. Starting from the homogeneous balance method, one can obtain a nonlinear transformation to simply (2 + 1) - dimensional breaking soliton equation into a linear partial differential equation and two bilinear partial differential equations. Usually, one can obtain only a kind of soliton-like solutions. In this paper, we find further some special types of the multisoliton solutions from the linear and bilinear partial differential equations by introducing a quasi-solutions. |
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| Keywords: | multisoliton (2+1) - dimensions breaking soliton equation |
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