On a generalized nonlinear equation of Schrödinger type

نویسنده

  • Xueshang Feng
چکیده

Here is established the global existence of smooth solutions to a generalized nonlinear equation of Schrödinger type in the usual Sobolev spaces H and certain weighted Sobolev spaces by using Leray-Schauder fixed point theorem and delicate a priori estimates.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Localized Nonlinear Waves in Nonlinear Schrödinger Equation with Nonlinearities Modulated in Space and Time

In this paper, the generalized sub-equation method is extended to investigate localized nonlinear waves of the one-dimensional nonlinear Schrödinger equation (NLSE) with potentials and nonlinearities depending on time and on spatial coordinates. With the help of symbolic computation, three families of analytical solutions of this NLS-type equation are presented. Based on these solutions, period...

متن کامل

A Coupled Higher-Order Nonlinear Schrödinger Equation Including Higher-Order Bright and Dark Solitons

We suggest a generalized Lax pair on a Hermitian symmetric space to generate a new coupled higher-order nonlinear Schrödinger equation of a dual type which contains both bright and dark soliton equations depending on parameters in the Lax pair. Through the generalized ways of reduction and the scaling transformation for the coupled higher-order nonlinear Schrödinger equation, two integrable typ...

متن کامل

Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation

A generalized derivative nonlinear Schrödinger equation, iqt + qxx + 2iγ|q| qx + 2i(γ − 1)q q x + (γ − 1)(γ − 2)|q| q = 0, is studied by means of Hirota’s bilinear formalism. Soliton solutions are constructed as quotients of Wronski-type determinants. A relationship between the bilinear structure and gauge transformation is also discussed. ∗e-mail: [email protected] §

متن کامل

Exact Moving Breather Solutions of a Generalized Discrete Nonlinear Schrödinger Equation

We obtain exact moving breather solutions of a generalized discrete nonlinear Schrödinger equation. For finite lattices, we find two different moving periodic breather solutions while for an infinite lattice we find a localized moving breather solution.

متن کامل

Inverse Scattering on the Line for a Generalized Nonlinear Schrödinger Equation

A one-dimensional generalized nonlinear Schrödinger equation is considered, and the corresponding inverse scattering problem is analyzed when the potential is compactly supported and depends on the wave function. The unique recovery of the potential is established from an appropriate set of scattering data.

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000