### 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) |
---|---|

Pages (from-to) | 798-801 |

Number of pages | 4 |

Journal | Journal of Mathematical Physics |

Volume | 19 |

Issue number | 4 |

State | Published - 1977 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*19*(4), 798-801.

**An exact solution for a derivative nonlinear Schrödinger equation.** / Kaup, David J.; Newell, Alan C.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 19, no. 4, pp. 798-801.

}

TY - JOUR

T1 - An exact solution for a derivative nonlinear Schrödinger equation

AU - Kaup, David J.

AU - Newell, Alan C

PY - 1977

Y1 - 1977

N2 - A method of solution for the "derivative nonlinear Schrödinger equation" iqt = -qxx±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."

AB - A method of solution for the "derivative nonlinear Schrödinger equation" iqt = -qxx±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."

UR - http://www.scopus.com/inward/record.url?scp=36749109491&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749109491&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36749109491

VL - 19

SP - 798

EP - 801

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

ER -