Solitons: Conservation laws and dressing methods

نویسندگان
چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dynamics and Conservation Laws of Generalized Chiral Solitons

This paper studies the generalized chiral solitons. The integration of the generalized version of the chiral nonlinear Schrödinger's equation is obtained. The conservation laws are also computed using the multiplier approach. PACS Codes: 02.20.Sv; 02.30.Jr; 02.30.Ik.

متن کامل

Multirate Timestepping Methods for Hyperbolic Conservation Laws

This paper constructs multirate time discretizations for hyperbolic conservation laws that allow different time-steps to be used in different parts of the spatial domain. The discretization is second order accurate in time and preserves the conservation and stability properties under local CFL conditions. Multirate timestepping avoids the necessity to take small global time-steps (restricted by...

متن کامل

Multidimensional Upwind Methods for Hyperbolic Conservation Laws

We present a class of second-order conservative finite difference algorithms for solving numerically time-dependent problems for hyperbolic conservation laws in several space variables. These methods are upwind and multidimensional, in that the numerical fluxes are obtained by solving the characteristic form of the full multidimensional equations at the zone edge, and that all fluxes are evalua...

متن کامل

Numerical Methods for Hyperbolic Conservation Laws

2.1 Examples of conservative schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.1.1 The Godunov Scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.1.2 The Lax-Friedrichs Scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.1.3 The local Lax-Friedrichs Scheme . . . . . . . ....

متن کامل

Computational Methods for Hyperbolic Conservation Laws

where u : R × R → R is a vector of conserved variables (or state variables). For fluid dynamics, u is the vector of mass, momentum and energy denisties so that ∫ b a uj(x, t) dx is the total quantity of the j state variable in the interval at time t. Because these variables are conserved, ∫∞ −∞ uj(x, t) dx should be constant in t. The function f : R m → R is the flux function, which gives the r...

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

ژورنال

عنوان ژورنال: International Journal of Modern Physics A

سال: 2019

ISSN: 0217-751X,1793-656X

DOI: 10.1142/s0217751x19300035