Perturbed traveling wave solutions of the CDGKS equation and its dynamics characteristics

نویسندگان

چکیده

Based on the traveling wave reduction method with a perturbed initial solution and F-expansion method, class of explicit exact solutions (2+1)-dimensional CDGKS equation are obtained through symbolic computation. Moreover, both interaction behavior between parameters perturbation degree periodic Gauss to rational pulse wave, correlation superposition energy solitary discussed. Finally, numerical simulations shown demonstrate mechanism above solutions.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

BK Equation and Traveling Wave Solutions

It has been shown that the transition to the saturation regime of high energy QCD is similar to the formation of the front of a traveling wave. In particular, it can be verified that Balitsky-Kovchegov (BK) evolution equation reduces, after some approximations, to the nonlinear Fisher and Kolmogorov-Petrovsky-Piscounov (FKPP) equation, well-known from statistical physics. In these proceedings, ...

متن کامل

Some traveling wave solutions of soliton family

Solitons are ubiquitous and exist in almost every area from sky to bottom. For solitons to appear, the relevant equation of motion must be nonlinear. In the present study, we deal with the Korteweg-deVries (KdV), Modied Korteweg-de Vries (mKdV) and Regularised LongWave (RLW) equations using Homotopy Perturbation method (HPM). The algorithm makes use of the HPM to determine the initial expansion...

متن کامل

Stability of traveling wave solutions to the Whitham equation

Article history: Received 21 December 2013 Received in revised form 19 April 2014 Accepted 23 April 2014 Available online 14 May 2014 Communicated by C.R. Doering

متن کامل

Meromorphic traveling wave solutions of the Kuramoto–Sivashinsky equation

We determine all cases when there exists a meromorphic solution of the ODE νw + bw + μw + w/2 +A = 0. This equation describes traveling waves solutions of the KuramotoSivashinsky equation. It turns out that there are no other meromorphic solutions besides those explicit solutions found by Kuramoto and Kudryashov. The general method used in this paper, based on Nevanlinna theory, is applicable t...

متن کامل

Traveling solitary wave solutions to the generalized Boussinesq equation

In this paper, we are concerned with the generalized Boussinesq equation including the singularly sixth-order Boussinesq equation, which describes the bi-directional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number less than but very close to 1/3. By the means of two proper ansatzs, we obtain explicit traveling solitary wave solutio...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Thermal Science

سال: 2023

ISSN: ['0354-9836', '2334-7163']

DOI: https://doi.org/10.2298/tsci2301561l