امروزه در مبحث محاسبات رآکتورهای هسته‌ای مثل فرسایش و مدیریت سوخت، تحلیل گذرا بازسازی توان میله‌های به دنبال روش‌هایی جهت استفاده کدهای هستند که علاوه بر دقت قابل‌قبول از هزینه زمان بهینه‌ای برخوردار باشند. این پژوهش با گسسته‌سازی معادله پخش نوترون روش نودال بسط شار جریان ‌متوسط مرتبه بالا نشان داده می‌شود روش‌ بهینه قابل‌قبولی بهره می‌برد. مستقیم الحاقی نوترون، برای هندسه مربعی دوبعدی دو گروه ...

We study two members of the multi-component AKNS hierarchy. These are multi-NLS and multi-MKdV systems. derive Hirota bilinear forms these equations obtain soliton solutions. find all possible local nonlocal reductions systems give a prescription to their also (2+1)-dimensional extensions

Abstract In this paper, other types of exact solution of a first-order nonlinear ordinary differential equation is further investigated. By using the solutions of this equation, and a new general ansatz, we give some types of solutions of a class of nonlinear partial differential equations and MKdV equation. These solutions includes solitary wave solutions, singulary solitary solitary solutions...

In this work, we employ the simple direct method to investigate the generalized mKdV equation with variable coefficients. By using this scheme, we found some new exact solutions of the equation, including four new types of Jacobi elliptic function solutions, and these solutions are degenerated to solitary wave solutions and triangle function solutions in the limit case when the modulus of the J...

We extend the action for evolution equations of KdV and MKdV type which was derived in NC] to the case of not periodic, but only equivariant phase space variables, introduced in FV2]. The diierence of these variables may be interpreted as reduced phase space variables via a Marsden-Weinstein reduction where the monodromies play the role of the momentum map. As an example we obtain the doubly di...