CU Boulder applied mathematician Mark Hoefer and colleagues answer a longstanding question of how to understand tidal bores in multiple dimensions The photos and videos were all over Chinese social ...

The purpose of this article is to explore a new method for solving one of the nonlinear partial differential equations (NPDE) which is difficult to solve. The dispersive modified Benjamin-Bona-Mahony ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

In this tutorial, we will examine the nonlinear effects of the Bloch wave packet, providing a wave interpretation of the superconductivity of metals. Fundamentally, solitons do not exhibit the typical ...

Journal of Nonlinear Waves is the home for the field of nonlinear wave phenomena, broadly defined. It publishes authoritative articles on theoretical and computational aspects of nonlinear waves ...

Neural networks have been widely used to solve partial differential equations (PDEs) in different fields, such as biology, physics, and materials science. Although current research focuses on PDEs ...

Abstract: In this paper, we introduce a reduced order Iterative Linear Quadratic Regulator (RO-ILQR) approach for the optimal control of nonlinear Partial Differential Equations (PDE). The approach ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...

The world of mathematics is neat and tidy, but the real world is messy and seemingly chaotic. To make order out of all this, researchers rely on different types of equations. A type of these equations ...

1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Basic Science Division, World University of Bangladesh, Dhaka, Bangladesh. Our purpose of this ...