Results 71 to 80 of about 724 (174)

The Study of the Solution to a Generalized KdV-mKdV Equation

Abstract and Applied Analysis, 2013
A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is employed to investigate a generalized KdV-mKdV equation which possesses high-order nonlinear terms.
Xiumei Lv, Tengwei Shao, Jiacheng Chen
doaj   +1 more source

Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well.
Satoshi Tsujimoto, Alexei Zhedanov
doaj   +1 more source

Analytical and dynamical insights into the truncated M-fractional Akbota equation

Boundary Value Problems
This paper investigates the truncated M-fractional Akbota equation via the application of Jacobi elliptic function expansion approach. Akbota is an integrable Heisenberg ferromagnetic couple system of equations that is very useful to visualize and study ...
Muhammad Ishfaq Khan, Beenish, Kamran, Leila Jamel, Souhail Mohammed Bouzgarrou, Ioan-Lucian Popa   +5 more
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Extraction of solitons in multimode fiber for CHNLSEs using improved modified extended tanh function method

Alexandria Engineering Journal
The coupled higher-order nonlinear Schrödinger equations (CHNLSEs) are investigated in this paper. This model mimic the actuation of the solitons through multimode fibers.
Ola El-Shamy, Reda El-barkoki, Hamdy M. Ahmed, W. Abbas, Islam Samir   +4 more
doaj   +1 more source

Some new exact solutions of the Jacobi elliptic functions of NLS equation

Acta Physica Sinica, 2006
New exact solutions in terms of the Jacobi elliptic functions are obtained for the nonlinear Schrdinger (NLS) equation by means of modified mapping method.
openaire   +1 more source

Global Dynamical Analysis, Sensitivity Assessment and Optical Soliton Solutions of the Truncated M-Fractional Stochastic Biswas–Arshed Model

Photonics
This work investigates the optical soliton solutions and their dynamical behaviors of the fractional stochastic Biswas–Arshed equation (FSBAE). By employing the definition of truncated M-fractional derivative and a wave transformation, we reduce the ...
Ou Liao, Zhao Li
doaj   +1 more source

Solitons for the modified (2+1) $(2 + 1)$-dimensional Konopelchenko–Dubrovsky equations

Advances in Difference Equations, 2019
In the paper, we consider the modified (2+1) $(2 + 1)$-dimensional Konopelchenko–Dubrovsky equations which possess high order nonlinear terms. Under the aid of Maple, we derive the exact traveling wave solutions of the mKDs by the auxiliary equation ...
Xiumei Lyu, Wei Gu
doaj   +1 more source

New exact traveling wave solutions of the coupled Boussinesq equations

Theoretical and Applied Mechanics Letters
The Boussinesq equations, pivotal in the analysis of water wave dynamics, effectively model weakly nonlinear and long wave approximations. This study utilizes the complete discriminant system within a polynomial approach to derive exact traveling wave ...
Mingyue Wang, Youhe Zhou, Jizeng Wang
doaj   +1 more source

Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics

Advances in Difference Equations, 2018
This paper deals with the analytical solutions for two models of special interest in mathematical physics, namely the ( 2 + 1 ) $(2+1)$ -dimensional generalized Calogero-Bogoyavlenskii-Schiff equation and the ( 3 + 1 ) $(3+1)$ -dimensional generalized ...
Bo Huang, Shaofen Xie
doaj   +1 more source

Extraction of solitons in magneto–optic waveguides for coupled NLSEs with Kudryashov's law of nonlinearity via modified extended direct algebraic method

Ain Shams Engineering Journal
In this paper, the modified extended direct algebraic technique is used for determining new and various traveling wave solutions to the coupled nonlinear Schrödinger equation (NLSE) with Kudryashov's law of nonlinearity.
Ola El-Shamy, Reda El-Barkouky, Hamdy M. Ahmed, W. Abbas, Islam Samir   +4 more
doaj   +1 more source