TITLE

Soliton Perturbation Theory for the Compound KdV Equation

AUTHOR(S)
Biswas, Anjan; Konar, Swapan
PUB. DATE
February 2007
SOURCE
International Journal of Theoretical Physics;Feb2007, Vol. 46 Issue 2, p237
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The soliton perturbation theory is used to study the solitons that are governed by the compound Korteweg de-Vries equation in presence of perturbation terms. The adiabatic parameter dynamics of the solitons in presence of the perturbation terms are obtained.
ACCESSION #
24240963

 

Related Articles

  • Dust acoustic dressed soliton with dust charge fluctuations. Asgari, H.; Muniandy, S. V.; Wong, C. S. // Physics of Plasmas;Jun2010, Vol. 17 Issue 6, p063704 

    Modeling of dust acoustic solitons observed in dusty plasma experiment [Bandyopadhyay et al., Phys. Rev. Lett. 101, 065006 (2008)] using the Korteweg–de Vries (KdV) equation showed significant discrepancies in the regime of large amplitudes (or high soliton speed). In this paper, higher...

  • Boussinesq solitary-wave as a multiple-time solution of the Korteweg--de Vries hierarchy. Kraenkel, R.A.; Manna, M.A. // Journal of Mathematical Physics;Dec95, Vol. 36 Issue 12, p6822 

    Studies the Boussinesq equation from the point of view of a multiple-time reductive perturbation method. Consequence of the elimination of the secular producing terms through the use of the Korteweg-de Vries hierarchy; Characterization of the solitary wave of the Boussinesq equation.

  • Application of Homotopy Perturbation Method to Solve Combined Korteweg de Vries-Modified Korteweg de Vries Equation. Mirgolbabaei, H.; Ganji, D. D. // Journal of Applied Sciences;2009, Vol. 9 Issue 19, p3587 

    In this study, He's homotopy perturbation method is implemented for finding for solitary-wave solutions of the combined Korteweg de Vries-Modified Korteweg de Vries (KdV-MKdV) equation. Numerical solutions for the initial conditions has been obtained. The Homotopy Perturbation Method (HPM)...

  • Analytical and numerical solutions of the Schrödinger-KdV equation. LABIDI, MANEL; EBADI, GHODRAT; ZERRAD, ESSAID; BISWAS, ANJAN // Pramana: Journal of Physics;Jan2012, Vol. 78 Issue 1, p59 

    The Schrödinger-KdV equation with power-law nonlinearity is studied in this paper. The solitary wave ansatz method is used to carry out the integration of the equation and obtain one-soliton solution. The G′/ G method is also used to integrate this equation. Subsequently, the...

  • Reductive perturbation method of super KdV equations. Lü Ke-pu; Sun Jian-an; Duan Wen-shan; Zhao Jin-bao // Applied Mathematics & Mechanics;Jul2001, Vol. 22 Issue 7, p846 

    By using reductive perturbation method, super KdV equations are changed into ordinary KdV equations, small amplitude perturbation solutions are obtained.

  • On dust ion acoustic solitary waves in collisional dusty plasmas with ionization effect. Shalaby, M.; El-Labany, S. K.; El-Shamy, E. F.; Khaled, M. A. // Astrophysics & Space Science;Apr2010, Vol. 326 Issue 2, p273 

    The propagation of solitary waves in an unmagnetized collisional dusty plasma consisting of a negatively charged dust fluid, positively charged ions, isothermal electrons, and background neutral particles is studied. The ionization, ion loss, ion–neutral, ion–dust, and...

  • Homotopy Perturbation Method for the Generalized Hirota-Satsuma Coupled KdV Equation. Maturi, Dalal A. // Applied Mathematics;Dec2012, Vol. 3 Issue 12, p1983 

    In this paper, we consider the homotopy perturbation method (HPM) to obtain the exact solution of Hirota-Satsuma Coupled KdV equation. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear mathematical problems.

  • Reflectionless Potentials and Point Interactions in Pontryagin Spaces. Kurasov, Pavel; Luger, Annemarie // Letters in Mathematical Physics;Aug2005, Vol. 73 Issue 2, p109 

    The problem of constructing generalized point interactions of the second derivative operator in $$L^{2}(\mathbb{R})$$ leading to the same scattering data as for reflectionless potentials is considered. It is proved that this problem has a solution only if extensions in Pontryagin spaces are...

  • Temporal asymptotics for soliton equations in problems with step initial conditions. Novokshenov, V. Yu. // Journal of Mathematical Sciences;Feb2005, Vol. 125 Issue 5, p717 

    In this survey, we present modern approaches to the construction and justification of large time asymptotics for solutions of main soliton equations with step-like initial condition whose boundary conditions as Õ?±8are finite-gap, quasi-periodic solutions. The principal term of the...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics