The construction of exact rational solutions with constant asymptotic values at infinity of two-dimensional NVN integrable nonlinear evolution equations via the partial derivative-dressing method

被引：14

作者：

Dubrovsky, VG ^{[1
]}

Formusatik, IB ^{[1
]}

机构：

[1] Novosibirsk State Tech Univ, Novosibirsk 630092, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 09期

关键词：

D O I：

10.1088/0305-4470/34/9/303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The classes of exact rational solutions with constant asymptotic values at infinity of Nizhnik-Veselov-Novikov (NVN) equations via the partial derivative -dressing method of Zakharov and Manakov are constructed. At fixed time such solutions are the transparent (exactly solvable) potentials for one-dimensional Klein-Gordon or two-dimensional stationary Schrodinger equations. Among the constructed solutions are singular and also non-singular ones.

引用

页码：1837 / 1851

页数：15

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