An exact solution for a derivative nonlinear Schrödinger equation

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  • David J. Kaup
    Department of Physics, Clarkson College of Technology, Potsdam, New York 13676
  • Alan C. Newell
    Department of Physics, Clarkson College of Technology, Potsdam, New York 13676

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<jats:p>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.’’</jats:p>

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