Asymptotic stability of solitary wave solutions to the regularized long-wave equation
نویسندگان
چکیده
منابع مشابه
Stable and Unstable Solitary-Wave Solutions of the Generalized Regularized Long-Wave Equation
Stable and Unstable Solitary-Wave Solutions of the Generalized Regularized Long-Wave Equation J. L. Bona,1 W. R. McKinney,2 and J. M. Restrepo3,∗ 1 Department of Mathematics and Texas Institute for Computational and Applied Mathematics, University of Texas, Austin, TX 78712, USA 2 Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA 3 Mathematics Department and Pro...
متن کاملComplexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
In this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. The traveling wave hypothesis yields complexiton solutions. Subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. The constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...
متن کاملSolitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
The homogeneous balance method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this paper, this method is used to construct new soliton solutions of the (3+1) Jimbo--Miwa equation.
متن کاملScattering of Regularized-long-wave Solitary Waves
The Lagrangian density for the regularized-long-wave equation (also known as the BBM equation) is presented. Using the trial function technique, ordinary differential equations that describe the time dependence of the position of the peaks, amplitudes, and widths for the collision of two solitary waves are obtained. These equations are analyzed in the Born and “equal-width” approximations and c...
متن کاملSolitary-Wave Solutions of the Benjamin Equation
Considered here is a model equation put forward by Benjamin that governs approximately the evolution of waves on the interface of a two-uid system in which surface tension eeects cannot be ignored. Our principal focus is the traveling-wave solutions called solitary waves, and three aspects will be investigated. A constructive proof of the existence of these waves together with a proof of their ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2004
ISSN: 0022-0396
DOI: 10.1016/j.jde.2004.01.006