Alexandria Engineering Journal, 2020 In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park +4 more
doaj
Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions [PDF]
arXivRegarding Ricci flow as a dynamical system, we derive sufficient conditions for noncompact stationary (Ricci-flat) solutions to possess infinite-dimensional unstable manifolds, and provide examples satisfying those criteria that have uncountably many unstable perturbations.
arxiv
Lagrangian Controllability of the 1-D Korteweg-de Vries Equation [PDF]
arXiv, 2016 We consider in this paper the problem of the Lagrangian controllability for the Korteweg-de Vries equation. Using the $N$-solitons solution, we prove that, for any length of the spatial domain $L>0$ and any time $T>0$, it is possible to choose appropriate boundary controls of KdV equation such that the flow associated to this solution exit the domain ...
arxiv
Qualitative Description of the Particle Trajectories for the $N$-Solitons Solution of the Korteweg-de Vries Equation [PDF]
arXiv, 2016 The qualitative properties of the particle trajectories of the $N$-solitons solution of the KdV equation are recovered from the first order velocity field by the introduction of the stream function. Numerical simulations show an accurate depth dependance of the particles trajectories for solitary waves.
arxiv
One Step Degeneration of Trigonal Curves and Mixing of Solitons and Quasi-Periodic Solutions of the KP Equation [PDF]
arXiv, 2019 We consider certain degenerations of trigonal curves and hyperelliptic curves, which we call one step degeneration. We compute the limits of corresponding quasi-periodic solutions using the Sato Grassmannian. The mixing of solitons and quasi-periodic solutions is clearly visible in the obtained solutions.
arxiv
On a gauge action on sigma model solitons [PDF]
arXiv, 2018 In this paper we consider a gauge action on sigma model solitons over noncommutative tori as source spaces, with a target space made of two points introduced in \cite{DKL:Sigma}. Using new classes of solitons from Gabor frames, we quantify the condition about how to gauge a Gaussian to a prescribed Gabor frame.
arxiv
Partial Differential Equations in Applied MathematicsThe Bogoyavlenskii and the simplified modified Camassa-Holm (SMCH) models are studied through the recent technique namely auxiliary equation method in this paper.
M. Ashikur Rahman +6 more
doaj
New extended (G'/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation. [PDF]
Springerplus, 2014 Roshid HO +4 more
europepmc +1 more source
An ansatz for solving nonlinear partial differential equations in mathematical physics. [PDF]
Springerplus, 2016 Akbar MA, Ali NH.
europepmc +1 more source
Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G'/G)-expansion method. [PDF]
Springerplus, 2013 Alam MN, Akbar MA.
europepmc +1 more source