DIRECT METHOD OF CALCULATING PERIODIC-WAVE SOLUTIONS TO NON-LINEAR EVOLUTION-EQUATIONS .1. EXACT 2-PERIODIC WAVE SOLUTION

被引：195

作者：

NAKAMURA, A

机构：

[1] Physics Laboratory, Faculty of Industrial Arts, Kyoto Technical University

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1979年 / 47卷 / 05期

关键词：

D O I：

10.1143/JPSJ.47.1701

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that if a given nonlinear evolution equation is reduced to Hirota's single bilinear equation by the dependent variable transformation, it always has at least exact two-periodic wave (periodic analogue of two-soliton) solutions described by multi(two)-dimensional elliptic ϑ-function. © 1979, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.

引用

页码：1701 / 1705

页数：5

共 18 条

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Bellman R., 1961, BRIEF INTRO THETA FU

[2] ANALOG OF INVERSE SCATTERING THEORY FOR DISCRETE HILLS EQUATION AND EXACT SOLUTIONS FOR PERIODIC TODA LATTICE [J].