| Baeicklund Transformation and Multiple Soliton Solutions for （3＋1）-Dimensional Potential-YTSF Equation |
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| 作者姓名： | BAICheng-Lin LIUXi-Qiang ZHAOHong |
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| 作者单位： | [1]DepartmentofCommunicationEngineering,LiaochengUniversity,Liaocheng252059,China [2]SchoolofMathematicalScience,LiaochengUniversity,Liaocheng252059,China |
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| 摘 要： | We study an approach to constructing multiple soliton solutions of the (3 1)-dimensional nonlinear evolution equation. We take the (3 1)-dimensional potential- YTSF equation as an example. Using the extended homogeneous balance method, one can find a Backlund transformation to decompose the (3 1)-dimensional potential-YTSF equation into a set of partial differential equations. Starting from these partial differential equations, some multiple soliton solutions for the (3 1)-dimensional potential-YTSF equation are obtained by introducing a class of formal solutions.
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| 关 键 词： | 孤波解 奇次平衡展开法 YTSF势能方程 非线性偏微分 |
| 收稿时间： | 2004-03-24 |
Bäcklund Transformation and Multiple Soliton Solutions for
(3+1)-Dimensional Potential-YTSF Equation |
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| BAICheng-Lin LIUXi-Qiang ZHAOHong.Bäcklund Transformation and Multiple Soliton Solutions for
(3+1)-Dimensional Potential-YTSF Equation[J].Communications in Theoretical Physics,2004,42(6):827-830. |
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| Authors: | BAI Cheng-Lin LIU Xi-Qiang ZHAO
Hong |
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| Institution: | 1. Department of Communication Engineering, Liaocheng University,
Liaocheng 252059, China
;2. School of Mathematical Science, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | We study an approach to constructing multiple soliton
solutions of the (3+1)-dimensional nonlinear evolution equation.
We take the (3+1)-dimensional potential-YTSF equation as an example.
Using the extended homogeneous balance method, one can find a
Bäcklund transformation to decompose the (3+1)-dimensional potential-YTSF
equation into a set of partial differential equations. Starting
from these partial differential equations, some multiple soliton
solutions for the (3+1)-dimensional potential-YTSF equation are
obtained by introducing a class of formal solutions. |
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| Keywords: | soliton solutions extended homogeneous balance method (3+1)-dimensions potential-YTSF equation |
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