A linear focusing mechanism for dispersive and non-dispersive wave problems
نویسندگان
چکیده
Article history: Received 1 August 2010 Received in revised form 3 November 2010 Accepted 17 November 2010 Available online 27 November 2010
منابع مشابه
GLOBAL WELL-POSEDNESS, SCATTERING AND BLOW UP FOR THE ENERGY-CRITICAL, FOCUSING, NON-LINEAR SCHRÖDINGER AND WAVE EQUATIONS by
In these lectures I will discuss recent joint works with F. Merle. In them we have developed an approach to the study of non-linear critical problems of dispersive type. The issues studied are global well-posedness and scattering. The approach works for both focusing and defocusing problems, but in these lectures I will concentrate on two focusing problems. The approach proceeds in steps, some ...
متن کاملNonlinear mechanism of tsunami wave generation by atmospheric disturbances
The problem of tsunami wave generation by variable meteo-conditions is discussed. The simplified linear and nonlinear shallow water models are derived, and their analytical solutions for a basin of constant depth are discussed. The shallow-water model describes well the properties of the generated tsunami waves for all regimes, except the resonance case. The nonlinear-dispersive model based on ...
متن کاملNon-dispersive wave packets in periodically driven quantum systems
With the exception of the harmonic oscillator, quantum wave-packets usually spread as time evolves. This is due to the non-linear character of the classical equations of motion which makes the various components of the wave-packet evolve at various frequencies. We show here that, using the nonlinear resonance between an internal frequency of a system and an external periodic driving, it is poss...
متن کاملOn the interaction of wind and steep gravity wave groups using Miles’ and Jeffreys’ mechanisms
The interaction of wind and water wave groups is investigated theoretically and numerically. A steep wave train is generated by means of dispersive focusing, using both the linear theory and fully nonlinear equations. The linear theory is based on the Schrödinger equation while the nonlinear approach is developed numerically within the framework of the potential theory. The interaction between ...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Comput. Physics
دوره 230 شماره
صفحات -
تاریخ انتشار 2011