| Some new solutions derived from the nonlinear (2+1)-dimensional Toda equation-an efficient method of creating solutions |
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| 作者姓名： | 白成林 张霞 张立华 |
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| 作者单位： | School of Physics Science and Information
Engineering, Liaocheng
University, Liaocheng 252059, China;School of Physics Science and Information
Engineering, Liaocheng
University, Liaocheng 252059, China;Department of Mathematics, Dezhou College, Dezhou
253023, China |
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| 基金项目： | Project supported
by the National Natural Science Foundation of China and the Natural
Science Foundation of Shandong Province in China (Grant No
Y2007G64). |
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| 摘 要： | This paper presents a new and efficient approach for constructing exact solutions to nonlinear differential-difference equations (NLDDEs) and lattice equation. By using this method via symbolic computation system MAPLE, we obtained abundant soliton-like and/or period-form solutions to the (2+1)-dimensional Toda equation. It seems that solitary wave solutions are merely special cases in one family. Furthermore, the method can also be applied to other nonlinear differential-difference equations.
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| 关 键 词： | hyperbolic function method nonlinear differential–difference equations soliton-like solutions period-form solutions |
| 收稿时间： | 2008-06-22 |
Some new solutions derived from the nonlinear (2+1)-dimensional Toda equation---an efficient method of creating solutions |
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| Bai Cheng-Lin,Zhang Xia and Zhang Li-Hua.Some new solutions derived from the nonlinear (2+1)-dimensional Toda equation-an efficient method of creating solutions[J].Chinese Physics B,2009,18(2):475-481. |
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| Authors: | Bai Cheng-Lin Zhang Xia and Zhang Li-Hua |
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| Affiliation: | Department of Mathematics, Dezhou College, Dezhou
253023, China; School of Physics Science and Information
Engineering, Liaocheng
University, Liaocheng 252059, China |
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| Abstract: | This paper presents a new and efficient approach for constructing
exact solutions to nonlinear differential--difference equations
(NLDDEs) and lattice equation. By using this method via symbolic
computation system MAPLE, we obtained abundant soliton-like and/or
period-form solutions to the (2+1)-dimensional Toda equation. It
seems that solitary wave solutions are merely special cases in one
family. Furthermore, the method can also be applied to other
nonlinear differential--difference equations. |
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| Keywords: | hyperbolic function method nonlinear differential--difference equations soliton-like solutions period-form solutions |
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