Results 281 to 290 of about 315,021 (338)

Solitary wave solution, breather wave solution and rogue wave solution for a KP-equation

In this paper, we investigate KP equation by the Hirota bilinear method and obtain its bilinear form successfully. On the basis of above bilinear form, a number of explicit solutions including one-solitary wave solution, two-solitary wave solution and their generalized form N-solitary wave solution are obtained successfully.
Zhenjie Niu, Zenggui Wang
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Complex solitary waves from one-soliton solution

Chaos, Solitons & Fractals, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghosh, Sasanka, Nandy, Sudipta
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Construction of solitary wave solutions to the nonlinear modified Kortewege-de Vries dynamical equation in unmagnetized plasma via mathematical methods

Modern Physics Letters A, 2018
In this research, we consider the propagation of one-dimensional nonlinear behavior in a unmagnetized plasma. By using the reductive perturbation technique to formulate the nonlinear mathematic model which is modified Kortewege-de Vries (mKdV), we apply ...
M. Iqbal, A. Seadawy, D. Lu
semanticscholar   +1 more source

Solitary-wave solutions to nonlinear Schrödinger equations

Physical Review A, 1997
We examine the solitary-wave behavior of eigenstate solutions to various nonlinear Schr\"odinger equations (NLSE's) in an arbitrary number of dimensions and with a general potential. These eigenstate solutions are the only wave functions that can rigorously preserve their shape.
S. A. Morgan, R. J. Ballagh, K. Burnett
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On solitary wave solutions for the extended nonlinear Schrödinger equation via the modified F-expansion method

Optical and quantum electronics, 2023
Muslum Ozisik, A. Seçer, M. Bayram
semanticscholar   +1 more source

Solitary Wave Solutions for Zoomeron Equation

2013
2, 10, Walailak Journal of Science and ...
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Solitary wave solutions for the regularized long-wave equation

Physics of Wave Phenomena, 2012
The regularized long-wave equation has been solved numerically using the collocation method based on the Adams-Moulton method for the time integration and quintic B-spline functions for the space integration. The method is tested on the problems of propagation of a solitary wave and interaction of two solitary waves.
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New Family of Solitary Wave Solutions to New Generalized Bogoyavlensky–Konopelchenko Equation in Fluid Mechanics

International Journal of Applied and Computational Mathematics, 2023
sonia akram, J. Ahmad, S. Rehman, Asghar Ali   +3 more
semanticscholar   +1 more source

Relativistic solitary-wave solutions of the beat-wave equations

The Physics of Fluids, 1988
In the beat-wave accelerator [Phys. Rev. Lett. 43, 267 (1979)], a large-amplitude Langmuir wave is produced by the beating of two laser beams whose frequencies differ by approximately the plasma frequency. The relativistic equations governing this three-wave interaction are shown to admit two types of solitary-wave solutions.
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New solitary wave solutions of Maccari system

Ocean Engineering, 2015
In this paper, we consider exact solutions of Maccari system. We tackle extended trial equation method and generalized Kudryashov method to find exact solutions of this system. Initially, we obtain some exact solutions such as rational function solution, travelling wave solution, soliton solution, Jacobi elliptic function solution, hyperbolic function ...
Seyma Tuluce Demiray, Yusuf Pandir, Hasan Bulut   +2 more
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