An exact solution for a derivative nonlinear Schrödinger equation

David J. Kaup; Alan C. Newell

doi:10.1063/1.523737

An exact solution for a derivative nonlinear Schrödinger equation

David J. Kaup, Alan C. Newell

Research output: Contribution to journal › Article › peer-review

1067 Scopus citations

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
DOIs	https://doi.org/10.1063/1.523737
State	Published - 1977
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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@article{697d682010e04cb2a3d968510587157b,

title = "An exact solution for a derivative nonlinear Schr{\"o}dinger equation",

abstract = "A method of solution for the {"}derivative nonlinear Schr{\"o}dinger 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.{"}",

author = "Kaup, {David J.} and Newell, {Alan C.}",

year = "1977",

doi = "10.1063/1.523737",

language = "English (US)",

volume = "19",

pages = "798--801",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics Publising LLC",

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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."

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

U2 - 10.1063/1.523737

DO - 10.1063/1.523737

M3 - Article

AN - SCOPUS:36749109491

SN - 0022-2488

VL - 19

SP - 798

EP - 801

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 4

ER -

An exact solution for a derivative nonlinear Schrödinger equation

Abstract

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