A STUDY OF COMPLEX WAVE SOLUTIONS AND FRACTAL STRUCTURES FOR A (2+1) DIMENSIONAL SOLITON SYSTEM

2020 ◽  
Vol 127 (1) ◽  
pp. 71-78
Author(s):  
Danli Zhuang
Keyword(s):  
Fractal Structures ◽  
Wave Solutions ◽  
Complex Wave ◽  
Dimensional Soliton

Conditional Similarity Reduction Method and Complex Wave Excitations for a High-Dimensional Nonlinear System

2015 ◽  
Vol 70 (9) ◽  
pp. 739-744
Author(s):  
Fu-Zhong Lin ◽  
Song-Hua Ma
Keyword(s):  
Nonlinear System ◽  
Water Wave ◽  
Reduction Method ◽  
Solitary Wave Solution ◽  
High Dimensional ◽  
Similarity Reduction ◽  
New Family ◽  
Wave Solutions ◽  
Complex Wave ◽  
Novel Complex

AbstractWith the help of the conditional similarity reduction method, a new family of complex wave solutions with q=lx + my + kt + Γ(x, y, t) for the (2+1)-dimensional modified dispersive water-wave (MDWW) system are obtained. Based on the derived solitary wave solution, some novel complex wave localised excitations are investigated.

scholarly journals Complex wave solutions and localized excitations of (2+1)-dimensional korteweg-de Vries system

2014 ◽  
Vol 63 (8) ◽  
pp. 080506
Author(s):  
Zhang Wen-Ling ◽  
Ma Song-Hua ◽  
Chen Jing-Jing
Keyword(s):  
Wave Solutions ◽  
Localized Excitations ◽  
Complex Wave ◽  
De Vries

scholarly journals Pulses, Fronts and Chaotic Wave Trains in a One-Dimensional Chua's Lattice

1997 ◽  
Vol 07 (08) ◽  
pp. 1775-1790 ◽  
Author(s):  
V. B. Kazantsev ◽  
V. I. Nekorkin ◽  
M. G. Velarde
Keyword(s):  
Stationary Wave ◽  
Order System ◽  
Wave Fronts ◽  
Nonlinear Odes ◽  
One Dimensional ◽  
Wave Solutions ◽  
Complex Wave ◽  
Wave Trains ◽  
Discrete Medium ◽  
Bounded Trajectories

We show how wave motions propagate in a nonequilibrium discrete medium modeled by a one-dimensional array of diffusively coupled Chua's circuits. The problem of the existence of the stationary wave solutions is reduced to the analysis of bounded trajectories of a fourth-order system of nonlinear ODEs. Then, we study the homoclinic and heteroclinic bifurcations of the ODEs system. The lattice can sustain the propagation of solitary pulses, wave fronts and complex wave trains with periodic or chaotic profile.

Folded Localized Excitations and Chaotic Patterns in a (2+1)-Dimensional Soliton System

2008 ◽  
Vol 63 (3-4) ◽  
pp. 121-126 ◽  
Author(s):  
Song-Hua Ma ◽  
Jian-Ping Fang ◽  
Chun-Long Zheng
Keyword(s):  
Solitary Wave ◽  
Solitary Wave Solution ◽  
Periodic Wave ◽  
Solitary Wave Solutions ◽  
Variable Separation ◽  
Periodic Wave Solutions ◽  
Wave Solutions ◽  
Localized Excitations ◽  
Dimensional Soliton ◽  
Variable Separation Approach

Starting from an improved mapping approach and a linear variable separation approach, new families of variable separation solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitrary functions for the (2+1)-dimensional breaking soliton system are derived. Based on the derived solitary wave solution, we obtain some special folded localized excitations and chaotic patterns.

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