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Additional symmetries and Bäcklund transformations for the dispersionless Harry Dym hierarchy |
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| Authors: | Yu-Tung Chen Jen-Hsu Chang Ming-Hsien Tu |
| Institution: | (1) Institute of Mathematics, Academia Sinica, Taipei, Taiwan;(2) Department of Physics, National Chung Cheng University, Chiayi, Taiwan;(3) Department of Computer Science, National Defense University, Taoyuan, Taiwan |
| Abstract: | We give a dispersionless Toda-like extension to the dispersionless Harry Dym (dDym) hierarchy. The extended dDym (EdDym) hierarchy has a dressing formulation, and its underlying solution structure can be investigated through the twistor construction. We show that additional symmetries of the solution space generate Backlund transformations of the EdDym hierarchy. We present some examples of constructing new solutions of the (2+1)-dimensional dDym and EdDym equations via Bäcklund transformations. |
| Keywords: | dispersionless Dym hierarchy dressing operator twistor construction additional symmetries B?cklund transformation |
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