Nonlinear physical complex hirota dynamical system: Construction of chirp free optical dromions and numerical wave solutions

2022 ◽  
Vol 156 ◽  
pp. 111788
Author(s):  
Taghreed G. Sugati ◽  
Aly R. Seadawy ◽  
R.A. Alharbey ◽  
W. Albarakati
Keyword(s):  
Dynamical System ◽  
System Construction ◽  
Wave Solutions ◽  
Numerical Wave

Analysis of anisotropy of numerical wave solutions by high accuracy finite difference methods

2011 ◽  
Vol 230 (1) ◽  
pp. 27-60 ◽  
Author(s):  
Tapan K. Sengupta ◽  
Manoj K. Rajpoot ◽  
Shakti Saurabh ◽  
V.V.S.N. Vijay
Keyword(s):  
Finite Difference ◽  
Finite Difference Methods ◽  
High Accuracy ◽  
Wave Solutions ◽  
Difference Methods ◽  
Numerical Wave

scholarly journals Propagation of stochastic travelling waves of cooperative systems with noise

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Hao Wen ◽  
Jianhua Huang ◽  
Yuhong Li
Keyword(s):  
Dynamical System ◽  
White Noise ◽  
Wave Speed ◽  
Travelling Waves ◽  
Equilibrium Points ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Cooperative System ◽  
Wave Solutions ◽  
Suitable Marker

<p style='text-indent:20px;'>We consider the cooperative system driven by a multiplicative It\^o type white noise. The existence and their approximations of the travelling wave solutions are proven. With a moderately strong noise, the travelling wave solutions are constricted by choosing a suitable marker of wavefront. Moreover, the stochastic Feynman-Kac formula, sup-solution, sub-solution and equilibrium points of the dynamical system corresponding to the stochastic cooperative system are utilized to estimate the asymptotic wave speed, which is closely related to the white noise.</p>

scholarly journals Periodic Wave Solutions and Their Limit Forms of the Modified Novikov Equation

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Qing Meng ◽  
Bin He
Keyword(s):  
Dynamical System ◽  
Nonlinear Waves ◽  
Bifurcation Theory ◽  
Dynamic Properties ◽  
Periodic Wave ◽  
Phase Portraits ◽  
Periodic Wave Solutions ◽  
Wave Solutions ◽  
Novikov Equation

The modified Novikov equationut-utxx+(b+1)u2ux=buuxuxx+u2uxxxis studied by using the bifurcation theory of dynamical system and the method of phase portraits analysis. The existences, dynamic properties, and limit forms of periodic wave solutions forbbeing a negative even are investigated. All possible exact parametric representations of the different kinds of nonlinear waves also are presented.

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