Elementary bäcklund transformations,nonlinear superposition formulae and algebraic construction of solutions for the nonlinear evolution equations solvable by the Zakharov-Shabat spectral transform |
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| Authors: | F Calogero A Degasperis |
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| Institution: | 1. Dipartimento di Fisica, Università di Roma I, 00185 Roma, Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy |
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| Abstract: | Novel nonlinear superposition formulae are given for solutions of the class of nonlinear evolution equations solvable via the spectral transform associated with the Zakharov-Shabat spectral problem, and an algebraic procedure is provided to construct solutions of these equations. |
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