Combined Wronskian solutions to the 2D Toda molecule equation

被引：20
作者：
Ma, Wen-Xiu [1 ]
机构：
[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
来源：
PHYSICS LETTERS A | 2011年 / 375卷 / 45期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
Toda lattice; Wronskian solution; Soliton equation; DE-VRIES EQUATION; COMPLEXITON SOLUTIONS; BOUSSINESQ EQUATION; LATTICE EQUATION; SOLITONS; FORM;
D O I：
10.1016/j.physleta.2011.09.016
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By combining two pieces of bi-directional Wronskian solutions, molecule solutions in Wronskian form are presented for the finite, semi-infinite and infinite bilinear 2D Toda molecule equations. In the cases of finite and semi-infinite lattices, separated-variable boundary conditions are imposed. The Jacobi identities for determinants are the key tool employed in the solution formulations. (C) 2011 Elsevier B.V. All rights reserved.
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页码：3931 / 3935
页数：5
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