Supersymmetry and convection–diffusion–reaction equations
نویسندگان
چکیده
In this work, we are concerned with generating solutions of a class Convection–Diffusion–Reaction (CDR) equation from the another CDR through Darboux transformations. The method is elucidated by cases certain types reaction coefficients. We have also discussed briefly supersymmetric pairs equations connected similarity solutions.
منابع مشابه
Supersymmetry and Bogomol’nyi equations in the Maxwell Chern-Simons systems
We take advantage of the superspace formalism and explicitly find the N=2 supersymmetric extension of the Maxwell Chern-Simons model. In our construction a special form of a potential term and indispensability of an additional neutral scalar field arise naturally. By considering the algebra of supersymmetric charges we find Bogomol’nyi equations for the investigated model.
متن کاملHeterotic Supersymmetry, Anomaly Cancellation and Equations of Motion
We show that the heterotic supersymmetry (Killing spinor equations) and the anomaly cancellation imply the heterotic equations of motion in dimensions five, six, seven, eight if and only if the connection on the tangent bundle in the α corrections is an instanton. For heterotic compactifications in dimension six this fixes the choice of that connection to be the unique SU(3) instanton on a stab...
متن کاملSupersymmetry and Bogomol’nyi equations in the Abelian Higgs Model
The N = 2 supersymmetric extension of the 2 + 1 dimensional Abelian Higgs model is discussed. By analysing the resulting supercharge algebra, the connection between supersymmetry and Bogomol’nyi equations is clarified. Analogous results are presented when the model is considered in 2-dimensional (Euclidean) space. CONICET Postal address: C.C. 67, (1900) La Plata, Argentina Investigador CICBA, A...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولSupersymmetry of Generalized Linear Schrödinger Equations in (1+1) Dimensions
We review recent results on how to extend the supersymmetry SUSY formalism in Quantum Mechanics to linear generalizations of the time-dependent Schrödinger equation in (1+1) dimensions. The class of equations we consider contains many known cases, such as the Schrödinger equation for position-dependent mass. By evaluating intertwining relations, we obtain explicit formulas for the interrelation...
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 Modern Physics B
سال: 2023
ISSN: ['0217-9792', '1793-6578']
DOI: https://doi.org/10.1142/s0217979224500681