ACCURACY OF NONLINEAR DISPERSIVE LONG WAVE EQUATIONS
نویسندگان
چکیده
منابع مشابه
Complexition 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 کاملLong-wave and short-wave asymptotics in nonlinear dispersive systems.
In this paper we study the interplay between short- and long-space scales in the context of conservative dispersive systems. We consider model systems in (1+1) dimensions that admit both long- and short-wavelength solutions in the linear regime. A nonlinear analysis of these systems is constructed, making use of multiscale expansions. We show that the equations governing the lowest order involv...
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 کاملNumerical Solution of Some Nonlocal, Nonlinear Dispersive Wave Equations
We use a spectral method to solve numerically two nonlocal, nonlinear, dispersive, integrable wave equations, the Benjamin-Ono and the Intermediate Long Wave equations. The proposed numerical method is able to capture well the dynamics of the solutions; we use it to investigate the behaviour of solitary wave solutions of the equations with special attention to those, among the properties usuall...
متن کاملNumerical solution of nonlinear wave equations in stratified dispersive media
Nonlinear wave motion in dispersive media is solved numerically. The model applies to laser propagation in a relativistic plasma. The latter causes, besides dispersion, nonlinear effects due to relativistic mass variation in the presence of strong laser pulses. A new variant of the Gautschi–type integrator for reducing the number of time steps is proposed as a fast solver for such nonlinear wav...
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: Doboku Gakkai Ronbunshu
سال: 1986
ISSN: 0289-7806,1882-7187
DOI: 10.2208/jscej.1986.369_223