Results 71 to 80 of about 2,203 (128)

The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations

Alexandria Engineering Journal, 2020
The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation.
Md Nur Alam, Cemil Tunç
doaj  

On the existence of bound and ground states for some coupled nonlinear Schrödinger–Korteweg–de Vries equations

Advances in Nonlinear Analysis, 2017
We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödinger–Korteweg–de Vries equations. More precisely, we prove that there exists a positive radially symmetric ground state if either the coupling coefficient ...
Colorado Eduardo
doaj   +1 more source

Group Classification of Burgers' Equations [PDF]

arXiv, 2008
In this work we carry out a complete group classification of Burgers' equations.
arxiv  

Integrable evolution Hamiltonian equations of the third order with the Hamiltonian operator $\boldsymbol D_x$ [PDF]

, 2014
All non-equivalent integrable evolution equations of third order of the form $u_t=D_x\frac{\delta H}{\delta u}$ are found.
arxiv   +1 more source

On a theorem by Treves

, 2004
According to a theorem of Treves, the conserved functionals of the KdV equation vanish on each formal Laurent series 1/x^2 + u0 + u2 x^2 + u3 x^3 + >... .
Carlo Morosi, Livio Pizzocchero, Treves F., Treves F.   +3 more
core   +1 more source

Kinky periodic pulse and interaction of bell wave with kink pulse wave propagation in nerve fibers and wall motion in liquid crystals

Partial Differential Equations in Applied Mathematics, 2020
In this article, we apply a direct influential approach namely enhanced modified simple equation (EMSE) method to integrate the Burgers–Huxley (BH) and FitzHugh–Nagumo (FHN) equations which explain nerve pulse propagation in nerve fibers, circuit theory ...
Md. Mamunur Roshid, Harun-Or-Roshid, M. Zulfikar Ali, Hadi Rezazadeh   +3 more
doaj  

Differential Equations characterising quasi-periodic Solutions of the KP hierarchy [PDF]

arXiv, 1999
This paper was withdrawn by the authors.
arxiv  

A remark on Gibbs measures with log-correlated Gaussian fields

Forum of Mathematics, Sigma
We study Gibbs measures with log-correlated base Gaussian fields on the d-dimensional torus. In the defocusing case, the construction of such Gibbs measures follows from Nelson’s argument.
Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo   +2 more
doaj   +1 more source

On the support of solutions to the g-KdV equation [PDF]

arXiv, 2000
We discuss the question whether solutions of the initial value problem for the generalized KdV equation can have compact support at two different times.
arxiv  

Sine-Gordon expansion method for exact solutions to conformable time fractional equations in RLW-class

Journal of King Saud University: Science, 2020
The Sine-Gordon expansion method is implemented to construct exact solutions some conformable time fractional equations in Regularized Long Wave (RLW)-class.
Alper Korkmaz, Ozlem Ersoy Hepson, Kamyar Hosseini, Hadi Rezazadeh, Mostafa Eslami   +4 more
doaj