Some generalized coupled nonlinear Schrodinger equations and conservation laws

被引：3

作者：

Liu, Wei ^{[1
,2
]}

Geng, Xianguo ^{[1
]}

Xue, Bo ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China

[2] Shijiazhuang Tiedao Univ, Dept Math & Phys, 17 Northeast,Second Inner Ring, Shijiazhuang 050043, Hebei, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2017年 / 31卷 / 32期

基金：

中国国家自然科学基金;

关键词：

Generalized coupled nonlinear Schrodinger equation; generalized coupled derivative nonlinear Schrodinger equation; conservation laws; INTEGRABLE SYSTEMS; TRANSFORMATION; HIERARCHY;

D O I：

10.1142/S0217984917502992

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Based on zero-curvature equation, a series of new four-component nonlinear Schrodinger-type equations related to a 3x3 matrix problem are proposed by using the polynomial expansion of the spectral parameter. As two special reductions, a generalized coupled nonlinear Schrodinger equation and a generalized coupled derivative nonlinear Schrodinger equation are obtained. And then, the infinite conservation laws for each of these four component nonlinear Schrodinger-type equations are constructed with the aid of the Riccati-type equations.

引用

页数：16

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