✦ LIBER ✦

Evolution of solitons described by higher-order nonlinear Schrödinger equations

✍ Scribed by V.I. Karpman

Book ID: 108445113
Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 306 KB
Volume: 244
Category: Article
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(98)00251-5

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Evolution of a damped soliton in a highe

Evolution of a damped soliton in a higher-order nonlinear Schrödinger equation

✍ Boris A. Malomed; Narimasa Sasa; Junkichi Satsuma 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 351 KB

Soliton solutions of higher-order genera

Soliton solutions of higher-order generalized derivative nonlinear Schrödinger equation

✍ Jinbo Bi; Dengyuan Chen 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 371 KB

The lax pair and Hirota's bilinear form of higher-order generalized derivative nonlinear Schrödinger equation are given. The expression of N-soliton solutions are obtained through Hirota's standard procedure.

Dark solitons in N-coupled higher order

Dark solitons in N-coupled higher order nonlinear Schrödinger equations

✍ P. Seenuvasakumaran; A. Mahalingam; K. Porsezian 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 278 KB

By considering the third order dispersion, self-steepening and stimulated Raman scattering effects, we analyse the dark soliton propagation in N-coupled higher order nonlinear Schro ¨dinger equations. Using Painleve ´analysis, we prove that this system is completely integrable. The result is confirm

Soliton solution of nonlinear schrödinge

Soliton solution of nonlinear schrödinger equation with higher order dispersion terms

✍ Pan Zuliang; Zheng Kejie 📂 Article 📅 1997 🏛 SP Editorial Committee of Applied Mathematics - A 🌐 English ⚖ 188 KB

Solitons of the fourth order nonlinear S

Solitons of the fourth order nonlinear Schrödinger equation

✍ V.I. Karpman 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 259 KB

Schrödinger equations of higher order

✍ Alessia Ascanelli; Massimo Cicognani 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

## Abstract We are interested in finding the sharp regularity with respect to the time variable of the coefficients of a Schrödinger type operator in order to have a well‐posed Cauchy Problem in __H__^∞^. We consider both the cases of the first derivative that breaks down at a point __t__~0~ and of