Analysis of Brownian motion in stochastic Schrödinger wave equation using Sardar sub-equation method
In this paper, the stochastic nonlinear Schrödinger equation (NLSE) forced by multiplicative
noise that represents the temporal change of fluctuations is examined in a more extended …
noise that represents the temporal change of fluctuations is examined in a more extended …
[图书][B] Mathematical control theory for stochastic partial differential equations
Q Lü, X Zhang - 2021 - Springer
It is well-known that Control Theory was founded by N. Wiener in 1948 ([349]). After that, this
theory was greatly extended to various complicated setting and widely used in sciences and …
theory was greatly extended to various complicated setting and widely used in sciences and …
[图书][B] Stochastic equations in infinite dimensions
G Da Prato, J Zabczyk - 2014 - books.google.com
Now in its second edition, this book gives a systematic and self-contained presentation of
basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and …
basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and …
[引用][C] Semilinear Schrodinger equations
T Cazenave - New York University, Courant Institute of …, 2003 - books.google.com
The nonlinear Schrodinger equation has received a great deal of attention from
mathematicians, particularly because of its applications to nonlinear optics. It is also a good …
mathematicians, particularly because of its applications to nonlinear optics. It is also a good …
On the solitonic wave structures and stability analysis of the stochastic nonlinear Schrödinger equation with the impact of multiplicative noise
The nonlinear Schrödinger equation (NLSE) is a fundamental and significant physical model
that plays a crucial role in demonstrating the dynamics of optical solitons in the theory optical …
that plays a crucial role in demonstrating the dynamics of optical solitons in the theory optical …
[图书][B] Numerical methods for stochastic partial differential equations with white noise
Z Zhang, GE Karniadakis - 2017 - Springer
In his forward-looking paper [374] at the conference “Mathematics Towards the Third
Millennium,” our esteemed colleague at Brown University Prof. David Mumford argued that …
Millennium,” our esteemed colleague at Brown University Prof. David Mumford argued that …
The Stochastic Nonlinear Schrödinger Equation in H 1
A de Bouard, A Debussche - 2003 - Taylor & Francis
Full article: The Stochastic Nonlinear Schrödinger Equation in H 1 Skip to Main Content Taylor
and Francis Online homepage Browse Search Publish Login | Register Log in or Register Login …
and Francis Online homepage Browse Search Publish Login | Register Log in or Register Login …
Solitary waves for the nonlinear Schrödinger problem with the probability distribution function in the stochastic input case
MAE Abdelrahman, MA Sohaly - The European Physical Journal Plus, 2017 - Springer
This work deals with the construction of the exact traveling wave solutions for the nonlinear
Schrödinger equation by the new Riccati-Bernoulli Sub-ODE method. Additionally, we apply …
Schrödinger equation by the new Riccati-Bernoulli Sub-ODE method. Additionally, we apply …
Fundamental stochastic solutions for the conformable fractional NLSE with spatiotemporal dispersion via exponential distribution
MAE Abdelrahman, MA Sohaly, YF Alharbi - Physica Scripta, 2021 - iopscience.iop.org
In this work, the conformable fractional derivative with the unified solver method are used in
the suitable cases to extract new solutions for space-time stochastic fractional nonlinear …
the suitable cases to extract new solutions for space-time stochastic fractional nonlinear …
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity II: Dynamics
B Bringmann - Journal of the European Mathematical Society, 2023 - ems.press
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity
II: Dynamics Page 1 © 2023 European Mathematical Society Published by EMS Press and …
II: Dynamics Page 1 © 2023 European Mathematical Society Published by EMS Press and …