Periodic Structures Based on the Symmetrical Lucas Function of the (2+1)-Dimensional Dispersive Long-Wave System

被引：16

作者：

Abdel-Salam, Emad A. -B. ^{[1
]}

机构：

[1] Assiut Univ, Dept Math, New Valley Fac Educ, El Khargah, New Valley, Egypt

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2008年 / 63卷 / 10-11期

关键词：

Lucas Functions; Variable Separation Excitations; DLW System; Periodic Structure;

D O I：

10.1515/zna-2008-10-1110

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

By introducing the Lucas Riccati method and a linear variable separation method, new variable separation solutions with arbitrary functions are derived for a (2+1)-dimensional dispersive long-wave system. The main idea of this method is to express the solutions of this system as polynomials in the solution of the Riccati equation that satisfies the symmetrical Lucas functions. From the variable separation solution and by selecting appropriate functions, some novel Jacobian elliptic wave structures and periodic wave evolutional behaviours:S are investigated.

引用

页码：671 / 678

页数：8

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