One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem-Reference-Cited by-同舟云学术

One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem

Published:2015-12-16 Issue:4 Volume:83 Page:2461-2473
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Fokou M.,Kofane T. C.,Mohamadou A.,Yomba E.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-015-2494-2.pdf

Reference53 articles.

1. Hasegawa, A., Tappert, F.: Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion. Appl. Phys. Lett. 23, 142 (1973)

2. Porsezian, K., Nakkeeran, K.: Optical solitons in presence of Kerr dispersion and self-frequency shift. Phys. Rev. Lett. 76, 3955 (1996)

3. Mihalache, D., Truta, N., Crasovan, L.C.: Painlevé analysis and bright solitary waves of the higher-order nonlinear Schrödinger equation containing third-order dispersion and self-steepening term. Phys. Rev. E 56, 1064 (1997)

4. Gedalin, M., Scott, T.C., Band, Y.B.: Optical solitary waves in the higher order nonlinear Schrödinger equation. Phys. Rev. Lett. 78, 448 (1997)

5. Radhakrishnan, R., Kundu, A., Lakshmanan, M.: Coupled nonlinear Schrödinger equations with cubic-quintic nonlinearity: integrability and soliton interaction in non-Kerr media. Phys. Rev. E 60, 3314 (1999)

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