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An exact solution for a derivative nonlinear Schrödinger equation
David J. Kaup, Alan C. Newell
Source abstract
A method of solution for the ’’derivative nonlinear Schrödinger equation’’ iqt=−qxx±i (q*q2)x is presented. The appropriate inverse scattering problem is solved, and the one-soliton solution is obtained, as well as the infinity of conservation laws. Also, we note that this equation can also possess ’’algebraic solitons.’’
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