Solitary Wave Formation from a Generalized Rosenau Equation

New study to construct new solitary wave solutions for generalized sinh- Gordon equation

In this work, we successfully construct the new exact traveling wave solutions of the generalized Sinh–Gordon equation by new application of the homogeneous balance method. The idea introduced in this paper can be applied to other nonlinear evolution equations.

Traveling solitary wave solutions to the generalized Boussinesq equation

In this paper, we are concerned with the generalized Boussinesq equation including the singularly sixth-order Boussinesq equation, which describes the bi-directional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number less than but very close to 1/3. By the means of two proper ansatzs, we obtain explicit traveling solitary wave solutio...

Two Conservative Difference Schemes for the Generalized Rosenau Equation

Secondary solitary wave formation in systems with generalized Hertz interactions.

We consider a chain of monodisperse elastic grains of radius R where the grains are barely in contact. The grains repel upon contact via the Hertz-type potential, V proportional to delta(n), n > 2, where delta > or = 0, is the grain-grain overlap, delta identical with 2R-(u(i+1)-u(i)), where u(i) denotes the displacement of grain i from its original equilibrium position. This being a computatio...

Crank-Nicolson Difference Scheme for the Generalized Rosenau-Burgers Equation

In this paper, numerical solution for the generalized Rosenau-Burgers equation is considered and Crank-Nicolson finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence and priori error estimate of the scheme are proved. Numerical results demonstrate that the scheme is efficient and reliable. Keywords—Generalized Rosenau-B...