We investigate periodic traveling-wave solutions to the Whitham equation. It is shown that for solutions of this type, the Whitham equation can be expressed as a nonlinear integral equation of Hammerstein form. Solutions to this integral equation are then obtained by iteration. Representative numerical results are presented to illustrate the waveshapes and the nonlinear dispersion characteristics of the solutions thus obtained
AbstractIn this paper, the Fornberg–Whitham (FW) equation is investigated by using the improved qual...
Starting from the nonlocal Whitham equation with its fully dispersive linear operator, we consider t...
We consider the Whitham equation on the whole line. Due to the smoothing nature of the linear opera...
We prove the existence of a global bifurcation branch of 2π-periodic, smooth, traveling-wa...
Recently, the Whitham and capillary Whitham equations were shown to accurately model the evolution o...
The Whitham equation is a nonlocal, nonlinear dispersive wave equation introduced by G. B. Whitham a...
In the 1960s, G. Whitham developed an asymptotic theory to treat the problems involving periodic tra...
equation, ut + 6uux + uxxx = 0. (1) The scheme of the derivation of the Whitham equations: I Periodi...
AbstractThe homotopy perturbation method (HPM) is employed to find the explicit and numerical travel...
The so-called Whitham equation arises in the modeling of free surface water waves, and combines a ge...
For a general class of nonlinear, dispersive wave equations, existence of periodic, traveling-wave s...
The homotopy perturbation method (HPM) is employed to find the explicit and numerical traveling wave...
We consider the existence of periodic traveling waves in a bidirectional Whitham equation, combining...
The first integral method (FIM) is employed to solve the different type solutions of Whitham-Broer-K...
AbstractExplicit traveling wave solutions including blow-up and periodic solutions of the Whitham–Br...
AbstractIn this paper, the Fornberg–Whitham (FW) equation is investigated by using the improved qual...
Starting from the nonlocal Whitham equation with its fully dispersive linear operator, we consider t...
We consider the Whitham equation on the whole line. Due to the smoothing nature of the linear opera...
We prove the existence of a global bifurcation branch of 2π-periodic, smooth, traveling-wa...
Recently, the Whitham and capillary Whitham equations were shown to accurately model the evolution o...
The Whitham equation is a nonlocal, nonlinear dispersive wave equation introduced by G. B. Whitham a...
In the 1960s, G. Whitham developed an asymptotic theory to treat the problems involving periodic tra...
equation, ut + 6uux + uxxx = 0. (1) The scheme of the derivation of the Whitham equations: I Periodi...
AbstractThe homotopy perturbation method (HPM) is employed to find the explicit and numerical travel...
The so-called Whitham equation arises in the modeling of free surface water waves, and combines a ge...
For a general class of nonlinear, dispersive wave equations, existence of periodic, traveling-wave s...
The homotopy perturbation method (HPM) is employed to find the explicit and numerical traveling wave...
We consider the existence of periodic traveling waves in a bidirectional Whitham equation, combining...
The first integral method (FIM) is employed to solve the different type solutions of Whitham-Broer-K...
AbstractExplicit traveling wave solutions including blow-up and periodic solutions of the Whitham–Br...
AbstractIn this paper, the Fornberg–Whitham (FW) equation is investigated by using the improved qual...
Starting from the nonlocal Whitham equation with its fully dispersive linear operator, we consider t...
We consider the Whitham equation on the whole line. Due to the smoothing nature of the linear opera...
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