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New integrable systems of derivative nonlinear Schrödinger equations with multiple components

✍ Scribed by Takayuki Tsuchida; Miki Wadati

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
88 KB
Volume
257
Category
Article
ISSN
0375-9601

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✦ Synopsis

The Lax pair for a derivative nonlinear Schrodinger equation proposed by Chen-Lee-Liu is generalized into matrix form.

This gives new types of integrable coupled derivative nonlinear Schrodinger equations. By virtue of a gauge ẗransformation, a new multi-component extension of a derivative nonlinear Schrodinger equation proposed by Kaup-Newell ïs also obtained.

📜 SIMILAR VOLUMES

Three nonlinear integrable couplings of
Three nonlinear integrable couplings of the nonlinear Schrödinger equations
✍ Wang Hui; Xia Tie-cheng 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Based on two types of expanding Lie algebras of a Lie algebra G, three isospectral problems are designed. Under the framework of zero curvature equation, three nonlinear integrable couplings of the nonlinear Schröding equations are generated. With the help of variational identity, we get the Hamilto