Document Type

Article

Publication Date

1-22-1993

Abstract

Under the constraint between the potentials and eigenfunctions, the Kaup–Newell eigenvalue problem is nonlinearized as a new completely integrable Hamiltonian system (R2N,dpΛdq,H): H=i〈Λ2p,q〉+1/2〈Λq,q〉〈Λp,p〉. Furthermore, the involutive solution of the high‐order Kaup–Newell equation is obtained. Specifically, the involutive solution of the well‐known derivative Schrödinger equation ut=1/2iuxx+1/2(uu‖2)x is developed.

Comments

© 1993 American Institute of Physics. Original published version available at https://doi.org/10.1063/1.530412

First Page

3110

Last Page

3120

Publication Title

Journal of Mathematical Physics

DOI

10.1063/1.530412

Included in

Mathematics Commons

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