[HTML][HTML] Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method
The Boussinesq equation simulates weakly nonlinear and long wave approximation that can
be used in water waves, coastal engineering, and numerical models for water wave …
be used in water waves, coastal engineering, and numerical models for water wave …
[PDF][PDF] Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique
In present study, the Boussinesq equation is obtained by means of the Sardar Sub-Equation
Technique (SSET) to create unique soliton solutions containing parameters. Using this …
Technique (SSET) to create unique soliton solutions containing parameters. Using this …
Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation
In the present study, the nonlinear Boussinesq type equation describe the bi-directional
propagation of small amplitude long capillary–gravity waves on the surface of shallow water …
propagation of small amplitude long capillary–gravity waves on the surface of shallow water …
[HTML][HTML] A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation
In this paper, we employ the boundary-only meshfree method to find out numerical solution
of the classical Boussinesq equation in one dimension. The proposed method in the current …
of the classical Boussinesq equation in one dimension. The proposed method in the current …
A new domain decomposition algorithm for generalized Burger's–Huxley equation based on Chebyshev polynomials and preconditioning
M Javidi, A Golbabai - Chaos, Solitons & Fractals, 2009 - Elsevier
In this study, we use the spectral collocation method using Chebyshev polynomials for
spatial derivatives and fourth order Runge–Kutta method for time integration to solve the …
spatial derivatives and fourth order Runge–Kutta method for time integration to solve the …
A spectral domain decomposition approach for the generalized Burger's–Fisher equation
A Golbabai, M Javidi - Chaos, Solitons & Fractals, 2009 - Elsevier
In this study, we use the spectral collocation method using Chebyshev polynomials for
spatial derivatives and fourth order Runge–Kutta method for time integration to solve the …
spatial derivatives and fourth order Runge–Kutta method for time integration to solve the …
Meromorphic solutions of an auxiliary ordinary differential equation using complex method
W Yuan, Y Li, J Lin - Mathematical Methods in the Applied …, 2013 - Wiley Online Library
In this paper, we employ the complex method to obtain first all meromorphic solutions of an
auxiliary ordinary differential equation and then find all meromorphic exact solutions of the …
auxiliary ordinary differential equation and then find all meromorphic exact solutions of the …
Soliton solutions of the Boussinesq equation via an efficient analytical technique
In this paper, we consider the Boussinesq equation which is an important equation and it is
widely used in coastal engineering, harbors, shallow seas and water wave to model weakly …
widely used in coastal engineering, harbors, shallow seas and water wave to model weakly …
[HTML][HTML] Application of the variational iteration method for nonlinear free vibration of conservative oscillators
In this paper, an analytical solution for the nonlinear free vibration of a conservative
oscillator is presented. The nonlinear governing equation is solved by employing the …
oscillator is presented. The nonlinear governing equation is solved by employing the …
A predictor–corrector scheme for the improved Boussinesq equation
AG Bratsos - Chaos, Solitons & Fractals, 2009 - Elsevier
An implicit finite-difference method based on rational approximants of second order to the
matrix-exponential term in a three-time level recurrence relation has been proposed for the …
matrix-exponential term in a three-time level recurrence relation has been proposed for the …