B(a)cklund Transformation and Multiple Soliton Solutions for (3+1)-Dimensional Potential-YTSF Equation |
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| Authors: | BAI Cheng-Lin LIU Xi-Qiang ZHAO Hong |
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| Institution: | Department of Communication Engineering, Liaocheng University, Liaocheng 252059, China School of Mathematical Science, Liaocheng University, Liaocheng 252059, China Department of Communication Engineering, 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 evolu tion 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 equa tion 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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