Details

Autor(en) / Beteiligte

• Qiao, Zhijun

Titel

A new completely integrable Liouville’s system produced by the Kaup–Newell eigenvalue problem

Ist Teil von

• Journal of mathematical physics, 1993-07, Vol.34 (7), p.3110-3120

Ort / Verlag

Melville, NY: American Institute of Physics

Erscheinungsjahr

1993

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Under the constraint between the potentials and eigenfunctions, the Kaup–Newell eigenvalue problem is nonlinearized as a new completely integrable Hamiltonian system (R 2N ,dpΛdq,H): H=i〈Λ2 p,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 u t =1/2iu xx +1/2(u‖u‖2) x is developed.