Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers. [PDF]
Cherniha R, Davydovych V.
europepmc +1 more source
Traveling waves for nonlinear Schrödinger equations [PDF]
We look for traveling wave solutions to the nonlinear Schr\"odinger equation with a subsonic speed, covering several physical models with Sobolev subcritical nonlinear effects. Our approach is based on a variant of Sobolev-type inequality involving the momentum and we show the existence of its minimizers solving the nonlinear Schr\"odinger equation.
arxiv
Small-amplitude finite-depth Stokes waves are transversally unstable [PDF]
We prove that all irrotational planar periodic traveling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravity water-waves equations.
arxiv
Bifurcation of gravity-capillary Stokes waves with constant vorticity [PDF]
We consider the gravity-capillary water waves equations of a 2D fluid with constant vorticity. Using variational methods we prove the bifurcation of steady periodic traveling water waves for {\it all} the values of gravity, surface tension, constant vorticity, depth and wavelenght, extending previous results valid for restricted values of the ...
arxiv
Five Specific Cases of the Simple Equations Method (SEsM) [PDF]
We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations. We show that the Jacobi Elliptic Function Expansion Method, F-Expansion method, Modified Simple Equation method, Trial Function Method, General Projective Riccati Equations Method and the First Integral Method are specific cases of ...
arxiv
Traveling Waves and Estimation of Minimal Wave Speed for a Diffusive Influenza Model with Multiple Strains. [PDF]
Chen G, Fu X, Sun M.
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The space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder+4 more
doaj
Solitary wave solutions of the fourth order Boussinesq equation through the exp(-Ф(η))-expansion method. [PDF]
Akbar MA, Hj Mohd Ali N.
europepmc +1 more source
Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation. [PDF]
Islam MH, Khan K, Akbar MA, Salam MA.
europepmc +1 more source
New extended (G'/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation. [PDF]
Roshid HO+4 more
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