Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations

被引:32
作者
Unsal, Omer [1 ]
Ma, Wen-Xiu [2 ]
机构
[1] Eskisehir Osmangazi Univ, Dept Math Comp, TR-26480 Eskisehir, Turkey
[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
基金
上海市自然科学基金;
关键词
Generalized bilinear equations; N-wave solution; Linear superposition principle; COMPLEXITON SOLUTIONS; WAVE SOLUTIONS; SUBSPACES;
D O I
10.1016/j.camwa.2016.02.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Linear subspaces of hyperbolic and trigonometric function solutions to generalized bilinear equations are analyzed. Necessary and sufficient conditions are presented to apply the linear superposition principles. Applications of an algorithm using weights are made together with a few concrete examples. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1242 / 1247
页数:6
相关论文
共 27 条
[1]  
Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering
[2]  
Adamu M.Y., 2012, IOSR J MATH, V3, P24
[3]   Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik-Novikov-Veselov equation [J].
Fan, Engui .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (09)
[4]  
Hietarinta J., 2005, PHYS AUC, V15, P31
[5]  
Hirota R., 2004, The direct method in soliton theory
[6]   Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model [J].
Lu, Xing ;
Ma, Wen-Xiu ;
Yu, Jun ;
Lin, Fuhong ;
Khalique, Chaudry Masood .
NONLINEAR DYNAMICS, 2015, 82 (03) :1211-1220
[7]   Madelung fluid description on a generalized mixed nonlinear Schrodinger equation [J].
Lu, Xing .
NONLINEAR DYNAMICS, 2015, 81 (1-2) :239-247
[8]   Analytical study on a two-dimensional Korteweg-de Vries model with bilinear representation, Backlund transformation and soliton solutions [J].
Lu, Xing ;
Lin, Fuhong ;
Qi, Fenghua .
APPLIED MATHEMATICAL MODELLING, 2015, 39 (12) :3221-3226
[9]   Soliton behavior for a generalized mixed nonlinear Schrodinger model with N-fold Darboux transformation [J].
Lu, Xing .
CHAOS, 2013, 23 (03)
[10]   Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model [J].
Lu, Xing ;
Peng, Mingshu .
CHAOS, 2013, 23 (01)