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A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Bäcklund transformations and Lax pairs |
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| Authors: | Ryogo Hirota Xiao-Yan Tang |
| Institution: | a Profassor Emeritus, Waseda University, Ohkubo 1-1, Shinjuku, Tokyo 160, Japan b State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences, Academia Sinica, PO Box 2719, Beijing 100080, PR China c Department of Physics, Shanghai Jiao-Tong University, Shanghai 200030, PR China |
| Abstract: | A vector potential KdV equation and vector Ito equation are proposed based on their bilinear forms. Soliton solutions expressed by Pfaffians are obtained. Bilinear Bäcklund transformations and the corresponding Lax pairs for the vector potential KdV equation and the vector Ito equation are derived. |
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