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Elliptic localized solutions to the derivative nonlinear Schrödinger equation
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报告人:
凌黎明 教授(华南理工大学)
邀请人:
常向科 副研究员
题目:
Elliptic localized solutions to the derivative nonlinear Schrödinger equation
时间地点:
2月7日(周六)8:00-9:00,思源楼515
摘要:

We parameterize the elliptic solutions to the derivative nonlinear Schrödinger (DNLS) equation with four independent parameters and generate two equivalent forms of $N$-elliptic localized solutions to the DNLS equation through the Darboux-Bäcklund transformation. The $N$-elliptic localized solutions are expressed as (the derivative of) the ratios of determinants with entries in terms of Weierstrass-sigma functions. Moreover, the asymptotic behaviours of both two forms of $N$-elliptic localized solutions are analyzed both along and between the propagation directions as $t$ tends to infinity.  This is a joint work with Wang Tang.