The differential formula of Hasimoto transformation in Minkowski3-space
نویسندگان
چکیده
منابع مشابه
The differential formula of Hasimoto transformation in Minkowski 3-space
Hasimoto [10] introduced the map from vortex filament solutions of Euler’s equations for incompressible fluids in the local induction approximation to solutions of the nonlinear Schrödinger equation and he showed vortex filament equation is equivalent nonlinear Schrödinger equation. After this discovering of Hasimoto, several authors [1, 5, 9, 12, 13, 14, 15, 17, 20, 21, 22, 23, 24] studied the...
متن کاملApplication of the block backward differential formula for numerical solution of Volterra integro-differential equations
In this paper, we consider an implicit block backward differentiation formula (BBDF) for solving Volterra Integro-Differential Equations (VIDEs). The approach given in this paper leads to numerical methods for solving VIDEs which avoid the need for special starting procedures. Convergence order and linear stability properties of the methods are analyzed. Also, methods with extensive stability r...
متن کاملHasimoto Transformation and Vortex Soliton Motion Driven by Fluid Helicity
Vorticity filament motions with respect to the Dirac bracket of Rasetti and Regge [1975] are known to be related to the nonlinear Schrödinger equation by the Hasimoto transformation (HT), when the Hamiltonian is the Local Induction Approximation (LIA) of the kinetic energy. We show that when the Hamiltonian is the LIA of Euler-fluid helicity ∫ u · curlu, the vorticity filament equation of motio...
متن کاملthe effect of the record infancy in crimilly acts of guilties (in karaj city)
چکیده یکی از مهمترین دغدغه های بزرگ جوامع بشری، از دیر باز تا کنون که ذهن پژوهشگران و متخصصان بهداشت روانی و اجتماعی و دولتها رابه خود مشغول داشته، مسأله ی بزهکاری می باشد. شناخت کامل پدیده ی بزهکاری و بزهکار، علل وعوامل سقوط یک انسان، چگونگی درمان وی و درنهایت پیشگیری ازبزهکاری ودریک کلام سالم سازی یک جامعه، رسالت عظیم، انسانی ومقدسی می باشد که با بررسی شخصیت مجرم یعنی[ انسانی که تحت شرای...
15 صفحه اولApplication of differential transformation method to the fisher equation.
In this paper, the dierential transform method (DTM) is applied to the Fisherequation. This method can be used to obtain the exact solutions of Fisherequation. Finally, we give some examples to illustrate the suciency of themethod for solving such nonlinear partial dierential equations. These resultsshow that this technique is easy to apply.
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: International Journal of Mathematics and Mathematical Sciences
سال: 2005
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms.2005.2609