Add to ORKGOur main example in this lecture is the Whitham system for the KdV equation, ut + 6uux + uxxx = 0. (1) Three ingredients of the derivation of the Whitham equations: I Periodic travelling wave solution u = u(x − ct) characterised by three parameters (constants of integration) b1, b2, b3 (see Appendix): (u) 2/2 = (u − b1)(u − b2)(b3 − u) , (2) The phase velocity c and the wave period L are c = 2(b1 + b2 + b3) , L = L
We prove the existence of a global bifurcation branch of 2π-periodic, smooth, traveling-wa...
Using the previous approach outlined in Ratliff and Bridges (2016, 2015), a novel method is presente...
The so-called Whitham equation arises in the modeling of free surface water waves, and combines a ge...
equation, ut + 6uux + uxxx = 0. (1) The scheme of the derivation of the Whitham equations: I Periodi...
In the 1960s, G. Whitham developed an asymptotic theory to treat the problems involving periodic tra...
A Wiley Company. The Whitham modulation theory for periodic traveling waves of PDEs generated by a L...
International audienceThe aim of this paper is to study, via theoretical analysis and numerical simu...
AbstractThe Whitham equation was proposed as an alternate model equation for the simplified descript...
The Whitham equation is a nonlocal, nonlinear dispersive wave equation introduced by G. B. Whitham a...
The Whitham equation was proposed as an alternate model equation for the simplified description of u...
14 pages, 4 figures, 28 references. Other author's papers can be downloaded at http://www.denys-duty...
We consider a Whitham equation as an alternative for the Korteweg–de Vries (KdV) equation in which t...
We investigate periodic traveling-wave solutions to the Whitham equation. It is shown that for solut...
International audienceWe derive the Whitham equations from the water waves equations in the shallow ...
22 pages, 11 figures, 2 tables, 31 references. Other author's papers can be downloaded at http://www...
We prove the existence of a global bifurcation branch of 2π-periodic, smooth, traveling-wa...
Using the previous approach outlined in Ratliff and Bridges (2016, 2015), a novel method is presente...
The so-called Whitham equation arises in the modeling of free surface water waves, and combines a ge...
equation, ut + 6uux + uxxx = 0. (1) The scheme of the derivation of the Whitham equations: I Periodi...
In the 1960s, G. Whitham developed an asymptotic theory to treat the problems involving periodic tra...
A Wiley Company. The Whitham modulation theory for periodic traveling waves of PDEs generated by a L...
International audienceThe aim of this paper is to study, via theoretical analysis and numerical simu...
AbstractThe Whitham equation was proposed as an alternate model equation for the simplified descript...
The Whitham equation is a nonlocal, nonlinear dispersive wave equation introduced by G. B. Whitham a...
The Whitham equation was proposed as an alternate model equation for the simplified description of u...
14 pages, 4 figures, 28 references. Other author's papers can be downloaded at http://www.denys-duty...
We consider a Whitham equation as an alternative for the Korteweg–de Vries (KdV) equation in which t...
We investigate periodic traveling-wave solutions to the Whitham equation. It is shown that for solut...
International audienceWe derive the Whitham equations from the water waves equations in the shallow ...
22 pages, 11 figures, 2 tables, 31 references. Other author's papers can be downloaded at http://www...
We prove the existence of a global bifurcation branch of 2π-periodic, smooth, traveling-wa...
Using the previous approach outlined in Ratliff and Bridges (2016, 2015), a novel method is presente...
The so-called Whitham equation arises in the modeling of free surface water waves, and combines a ge...