A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Bäcklund transformations and Lax pairs

By R. Hirota, Xing-Biao Hu, Xiaoyan Tang. 2003

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A vector potential KdV equation and vector Ito equation are proposed based on their bilinear forms. Soliton solutions expressed by Pfaffians are obtained. Bilinear Backlund transformations and the corresponding Lax pairs for the vector potential KdV equation and the vector Ito equation are derived.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/592e8f4b66a3572b54a0549d6b11fab990de1d4c