Our physics expert picks his top-five equations, plus a scheme to supply US power needs with a bucket of baseballs. Thanks, ...

Stochastic nonlinear wave equations and Schrödinger equations are important areas of study in mathematical physics, particularly in understanding how waves behave under random influences.

One significant area of research is the existence and stability of standing waves in nonlinear Schrödinger equations. For instance, studies have shown that stable standing waves can exist for the ...

Keywords: Schrödinger equation; Relativistic equations; Mathematical derivation; Teaching of quantum mechanics Neste artigo, apresentamos uma derivação das equações relativísticas da Mecânica Quântica ...

Schrödinger was a theoretical physicist and a significant contributor to the wave theory of matter, a form of quantum physics. He mathematically devised an equation of wave mechanics that bears his ...

We consider generalizations of nonlinear Schrodinger equations, which we call "Karpman equations," that include additional linear higher-order derivatives. Singularly-perturbed Karpman equations ...

Schrödinger’s equation, when applied to the entire universe, predicts superpositions that proliferate endlessly. These superpositions split the wave function into multiple universes or ...

Abstract: We show that smooth solutions to nonlinear wave and Schrödinger equations involving coercive nonlinearities of polynomial type with arbitrarily strong growth are unique among distribution ...

Abstract: The inverse scattering transform for the focusing non-linear Schrödinger (NLS) equation with non-zero boundary conditions at infinity and double zeros of the analytic scattering coefficients ...