Using Painleve singularity structure analysis, we show that coupled higher-order nonlinear Schrodinger (CHNLS) equations admit the Painleve property. Using the results of the Painleve analysis, we succeed in Hirota bilinearizing the CHNLS equations for the integrable cases. Solving the Hirota bilinear equations, one soliton and two soliton solutions are explicitly obtained. Lax pairs are explic...

This paper aims to investigate an approximate-analytical and numerical solutions for some 1D 2D dispersive homogeneous non-homogeneous KdV equations by employing two reliable methods namely reduced differential transform method (RDTM) a classical finite-difference method. RDTM provides analytical approximate solution in the form of convergent series. The (FDM) solve is employed primarily checki...

Chaos in fractional-order Chua’s system with time-varying delays is illustrated by presenting its waveform graphs, states patriots and bifurcation graphs. Chaotic synchronization system for such system is constructed. the bifurcation graph with respect to the linear coupled parameter k is presented, and the numerical experiments are presented. The study shows that the chaos in such fractional-o...

we consider a new type of integrable coupled nonlinear schrodinger (cnls)equations proposed by our self [submitted to phys. plasmas (2011)]. the explicitform of soliton solutions are derived using the hirota's bilinear method.we show that the parameters in the cnls equations only determine the regionsfor the existence of bright and dark soliton solutions. finally, throughthe linear stabili...

This article presents a formulation of the time-fractional generalized Korteweg-de Vries (KdV) equation using the Euler-Lagrange variational technique in the Riemann-Liouville derivative sense. It finds an approximate solitary wave solution, and shows that He’s variational iteration method is an efficient technique in finding the solution.

This article is related to the fractional-order analysis of one- and two-dimensional nonlinear systems third-order KdV equations coupled Burgers equations, applying modified analytical methods. The proposed problems will be solved with Caputo–Fabrizio fractional derivative operator Yang transform. results we obtained by implementing suggested methods are compared exact solution. convergence met...