Results 261 to 270 of about 987,859 (318)

Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves

Applicable Analysis, 2019
A (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves is investigated. Bilinear form is derived and semi-rational solutions are constructed via the Kadomtsev–Petviashvili hierarchy reduction.
Yu-Jie Feng, Yi-Tian Gao, Liu-Qing Li, Ting-Ting Jia   +3 more
semanticscholar   +1 more source

High-Order Nonlinear Evolution Equations

IMA Journal of Applied Mathematics, 1990
The authors consider the higher order evolution equation of the form \[ \partial c/\partial t=\sum_{j=1}^ n\alpha_ j(\partial^ j/\partial x^ j)(c^{m_ j}). \] It is proved that this equation permits a similarity solution of the form \(c(x,t)=x^{-s}\phi(x/t^ q)\).
Hill, James M., Hill, Desmond L.
openaire   +2 more sources

Nonlinear Evolution Equations

2008
Workshop ...
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Nonlinear evolution equations andH theorems

Journal of Statistical Physics, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alberti, Peter M., Crell, Bernd
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A deep learning method for solving third-order nonlinear evolution equations

Communications in Theoretical Physics, 2020
It has still been difficult to solve nonlinear evolution equations analytically. In this paper, we present a deep learning method for recovering the intrinsic nonlinear dynamics from spatiotemporal data directly.
J. Li 李, Y. Chen 陈
semanticscholar   +1 more source

A Stochastic Nonlinear Evolution Equation

Zeitschrift für Analysis und ihre Anwendungen, 1992
A stochastic evolution equation for processes with values in two orthogonal subspaces of a Hilbert space is considered. Such types of equations arise in the study of quasistatic processes of elastic viscoplastic materials with random disturbances. Using the theory of Hilbert space valued Ito equations an existence and uniqueness theorem is proved ...
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DYNAMIC BIFURCATION OF NONLINEAR EVOLUTION EQUATIONS

Chinese Annals of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Tian, Wang, Shouhong
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Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics

Nonlinear dynamics, 2022
S Kumar, B. Mohan, Raj Kumar
semanticscholar   +1 more source

Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation

Nonlinear dynamics, 2021
Yu-Hang Yin, Xing Lü, W. Ma
semanticscholar   +1 more source

Solving second-order nonlinear evolution partial differential equations using deep learning

Communications in Theoretical Physics, 2020
Solving nonlinear evolution partial differential equations has been a longstanding computational challenge. In this paper, we present a universal paradigm of learning the system and extracting patterns from data generated from experiments.
J. Li 李, Y. Chen 陈
semanticscholar   +1 more source