### Abstract

A method of solution for the "derivative nonlinear Schrödinger equation" iq_{t} = -q_{xx}±i(q*q ^{2})_{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."

Original language | English (US) |
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Pages (from-to) | 798-801 |

Number of pages | 4 |

Journal | Journal of Mathematical Physics |

Volume | 19 |

Issue number | 4 |

DOIs | |

State | Published - 1977 |

Externally published | Yes |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Kaup, D. J., & Newell, A. C. (1977). An exact solution for a derivative nonlinear Schrödinger equation.

*Journal of Mathematical Physics*,*19*(4), 798-801. https://doi.org/10.1063/1.523737