| （2+1）维Bogoyavlenskii’s广义破裂孤子方程的对称及精确解 |
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| 引用本文： | 张琳琳,刘希强.（2+1）维Bogoyavlenskii’s广义破裂孤子方程的对称及精确解[J].四川大学学报(自然科学版),2009,46(6):1757-1762. |
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| 作者姓名： | 张琳琳 刘希强 |
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| 作者单位： | 聊城大学数学科学学院,聊城,252059 |
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| 摘 要： | 应用李群分析方法考虑了(2+1)维Bogoyavlenskii's广义破裂孤子方程,得到了它的对称,给出了对应方程的对称约化,方程的群不变解和新的精确解. 本文在已有精确解的基础上给出了方程新的精确解.这些解对于研究某些复杂的物理现象,以及验证数值求解法则的可行性有重要的意义.
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| 关 键 词： | (2+1)维Bogoyavlenskii's广义破裂孤子方程 李群分析方法 对称 精确解 |
Symmetries, new exact solutions of (2+1)-dimensional Bogoyavlenskii's generalized breaking soliton equation |
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| ZHANG Lin-Lin and LIU Xi-Qiang.Symmetries, new exact solutions of (2+1)-dimensional Bogoyavlenskii's generalized breaking soliton equation[J].Journal of Sichuan University (Natural Science Edition),2009,46(6):1757-1762. |
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| Authors: | ZHANG Lin-Lin and LIU Xi-Qiang |
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| Institution: | School of Mathematical Sciences, Liaocheng University, |
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| Abstract: | The (2+1)-dimensional Bogoyavlenskii's Generalized Breaking Soliton equation is considered by using Lie group analysis method, we obtain symmetries, similarity reductions, group invariant solutions and new exact solutions to the (2+1)-dimensional Bogoyavlenskii's Generalized Breaking Soliton equation. To our best knowledge some examples of similarity solutions are given, which maybe provide useful help for physicists to study more complicated physical phenomena and for mathematicians to check on the accuracy and reliability of numerical algorithm. |
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| Keywords: | (2+1)-dimensional Bogoyavlenskii's Generalized Breaking Soliton equation Lie group analysis method symmetries exact solution |
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