The study of quantum dynamics in conjunction with nonlinear Schrödinger equations (NLS) sits at the confluence of mathematical physics, quantum mechanics and nonlinear analysis. This field ...

Many phenomena in physics and the other disciplines are frequently characterized by nonlinear partial differential equations (PDEs) [1]. To comprehend the physical mechanisms underlying natural ...

The discrete nonlinear Schrödinger equation (DNLS) is a fundamental mathematical model that describes the evolution of wave amplitudes in lattice systems where the interplay between dispersion and ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

This book serves as a bridge between graduate textbooks and research articles in the area of nonlinear elliptic partial differential equations. Whereas graduate textbooks present basic concepts, the ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

This book charts a clear and systematic roadmap for nonlinear partial differential equations (NLPDES). Beginning from the definition of a partial differential equation to the recent developments of ...