Results 151 to 160 of about 724 (174)

New Explicit Jacobi Elliptic Function Solutions for the Zakharov Equations

Journal of Information and Computational Science, 2013
In this letter, some new complex doubly periodic solutions to the Zakharov equations are obtained by using the generalized Jacobi elliptic function expansion method with the aid of mathematica software, some of which are degenerated to the solitary wave solutions and the triangle function solutions in the limit cases when the modulus of the Jacobian ...
openaire   +1 more source

Jacobi Elliptic Function Solutions and Traveling Wave Solutions of the (2 + 1)‐Dimensional Gardner‐KP Equation

Mathematical Methods in the Applied Sciences, 2020
The fully integrable KP equation is one of the models that describes the evolution of nonlinear waves, the expansion of the well‐known KdV equation, where the impacts of surface tension and viscosity are negligible. This paper uses the Modified Extended Direct Algebraic (MEDA) method to build fresh exact, periodic, trigonometric, hyperbolic, rational ...
Kwasi Boateng, Weiguo Yang, David Yaro, Michael Ezra Otoo   +3 more
openaire   +2 more sources

Jacobi Elliptic Function Solutions of Some Nonlinear Evolution Equations

Communications in Theoretical Physics, 2006
In this letter, the modified Jacobi elliptic function expansion method is extended to solve M-coupled KdV equation, M-coupled Ito equation, vKdV equation, and AKNS equation. Some new Jacobi elliptic function solutions are obtained by using Mathematica. When the modulus m→1, those periodic solutions degenerate as the corresponding soliton solutions.
openaire   +1 more source

Jacobi elliptic function solutions of the double dispersive equation in the Murnaghan's rod

The European Physical Journal Plus, 2019
This research communication aims to obtain the periodic wave solutions of the double dispersive equation of the wave propagation in a nonlinear elastic inhomogeneous Murnaghan's rod by using the F -expansion technique. This method first converts the partial differential equation into an ordinary differential equation under the wave transformation, then
Rathinavel Silambarasan, Haci Mehmet Baskonus, Hasan Bulut   +2 more
openaire   +1 more source

Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1 + 1)-dimensional dispersive long wave equation

Chaos, Solitons & Fractals, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Yong, Wang, Qi
openaire   +2 more sources

JACOBI ELLIPTIC FUNCTION SOLUTION OF GINZBURG–LAUDAU EQUATION BASED ON BCS THEORY

Modern Physics Letters B, 2011
The GL (Ginzburg–Landau) equation is a very important equation in superconductivity, which can be employed to explain many phenomena. In the present work, by using the expanded F-expansion method, some new exact Jacobi elliptic function solutions of the equation are obtained. More important is the phase factor of the solutions.
openaire   +1 more source

Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +4 more sources

Jacobi elliptic function-like solutions for generalized stochastic KdV equation

2012 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization, 2012
By extended mapping method and Hermite transformation, we study the generalized stochastic KdV equation, and obtain some families of stochastic exact solutions, which include Jacobi elliptic function-like, combined Jacobi elliptic function-like, soliton-like, kink-bell soliton-like and triangular function-like solutions.
openaire   +1 more source

Optical solitons and other solutions to Kaup–Newell equation with Jacobi elliptic function expansion method

Analysis and Mathematical Physics, 2021
Maria Alessandra Ragusa, Hamdy M Ahmed, Wafaa B Rabie   +2 more
exaly  

Lienard type oscillators with exact solutions in terms of Jacobi elliptic functions

2021
Kolawolé Kêgnidé Damien Adjaï, Akande, Jean, Monsia, Marc Delphin   +2 more
openaire   +1 more source