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Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]

Sci Rep
Rateb AE, Ahmed HM, Darwish A, Ammar M, Rabie WB.   +4 more
europepmc   +1 more source

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Nonlinear-Evolution Equations of Physical Significance

Physical Review Letters, 1973
Summary: We present the inverse scattering method which provides a means of solution of the initial-value problem for a broad class of nonlinear evolution equations. Special cases include the sine-Gordon equation, the sinh-Gordon equation, the Benney-Newell equation, the Korteweg-de Vries equation, the modified Korteweg-de Vries equation, and ...
Ablowitz, Mark J., Kaup, David J., Newell, Alan C., Segur, Harvey   +3 more
semanticscholar   +4 more sources

Nonlinear Evolution Equations

Encyclopedia of Continuum Mechanics, 2020
openaire   +2 more sources

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Geometric and Functional Analysis, 1993
J. Bourgain
semanticscholar   +5 more sources

Lie symmetry analysis, explicit solutions and conservation laws for the space–time fractional nonlinear evolution equations

Physica A: Statistical Mechanics and Its Applications, 2018
A. Yusuf, A. I. Aliyu, D. Baleanu
semanticscholar   +3 more sources

Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities

Nonlinear Dynamics, 2015
A. Wazwaz
semanticscholar   +3 more sources

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

Periodic boundary value problems for nonlinear impulsive evolution equations on Banach spaces

Communications in Nonlinear Science and Numerical Simulation, 2015
Xiulan Yu, Jinrong Wang
semanticscholar   +3 more sources

The Functional Variable Method to Find New Exact Solutions of the Nonlinear Evolution Equations with Dual-Power-Law Nonlinearity

, 2020
In this work, we established new travelling wave solutions for some nonlinear evolution equations with dual-power-law nonlinearity namely the Zakharov–Kuznetsov equation, the Benjamin–Bona–Mahony equation and the Korteweg–de Vries equation.
H. Rezazadeh, J. Vahidi, A. Zafar, A. Bekir   +3 more
semanticscholar   +1 more source