Existence of periodic traveling wave solution to the forced generalized nearly concentric Korteweg-de Vries equation.
Displaying 101 – 120 of 372
Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation.
Jones, Kenneth L., Chen, Yunkai (1999)
International Journal of Mathematics and Mathematical Sciences
Existence of solutions to nonlinear advection-diffusion equation applied to Burgers' equation using Sinc methods
Kamel Al-Khaled (2014)
Applications of Mathematics
This paper has two objectives. First, we prove the existence of solutions to the general advection-diffusion equation subject to a reasonably smooth initial condition. We investigate the behavior of the solution of these problems for large values of time. Secondly, a numerical scheme using the Sinc-Galerkin method is developed to approximate the solution of a simple model of turbulence, which is a special case of the advection-diffusion equation, known as Burgers' equation. The approximate solution...
Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary.
Barreto, Rioco K., de Caldas, Cruz S.Q., Gamboa, Pedro, Limaco, Juan (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Explicit solutions of generalized nonlinear Boussinesq equations.
Kaya, Doǧan (2001)
Journal of Applied Mathematics
Exponential convergence to the stationary measure and hyperbolicity of the minimisers for random Lagrangian Systems
Boritchev, Alexandre (2017)
Proceedings of Equadiff 14
We consider a class of 1d Lagrangian systems with random forcing in the spaceperiodic setting: These systems have been studied since the 1990s by Khanin, Sinai and their collaborators [7, 9, 11, 12, 15]. Here we give an overview of their results and then we expose our recent proof of the exponential convergence to the stationary measure [6]. This is the first such result in a classical setting, i.e. in the dual-Lipschitz metric with respect to the Lebesgue space for finite , partially answering...
Exponentially slow traveling waves on a finite interval for Burger's type equation.
de Groen, P.P.N., Karadzhov, G.E. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations.
Klein, Christian (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Fredholm determinants
Henry McKean (2011)
Open Mathematics
The article provides with a down to earth exposition of the Fredholm theory with applications to Brownian motion and KdV equation.
Further extended sinh-cosh and sin-cos methods and new nontraveling wave solutions of the -dimensional dispersive long wave equations.
Wang, Deng-Shan, Ren, Yu-Jie, Zhang, Hong-Qing (2005)
Applied Mathematics E-Notes [electronic only]
Gain of regularity for a Korteweg-de Vries--Kawahara type equation.
Vera Villagran, Octavio Paulo (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Gain of regularity for equations of KdV type
W. Craig, T. Kappeler, W. Strauss (1992)
Annales de l'I.H.P. Analyse non linéaire
Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation
Nikolay Tzvetkov, Nicola Visciglia (2013)
Annales scientifiques de l'École Normale Supérieure
Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they are indeed invariant by the flow of the Benjamin-Ono equation.
General mixed problems for the KdV equations on bounded intervals.
Larkin, Nikolai A., Luchesi, Jackson (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Generalized Jacobi elliptic function solution to a class of nonlinear Schrödinger-type equations.
Al-Muhiameed, Zeid I.A., Abdel-Salam, Emad A.-B. (2011)
Mathematical Problems in Engineering
Generalized solutions to the gKdV equation.
Melo, Maurilio Marcio (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Geodesic flow and two (super) component analog of the Camassa-Holm equation.
Guha, Partha, Olver, Peter J. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Geometric realizations of bi-Hamiltonian completely integrable systems.
Beffa, Gloria Marí (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Geometrical methods in hydrodynamics
Adrian Constantin (2001)
Journées équations aux dérivées partielles
We describe some recent results on a specific nonlinear hydrodynamical problem where the geometric approach gives insight into a variety of aspects.
Geometry and analytic theory of Frobenius manifolds.
Dubrovin, Boris (1998)
Documenta Mathematica