Results 61 to 70 of about 319 (78)

Traveling waves for nonlinear Schrödinger equations [PDF]

open access: yesarXiv
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]

open access: yesarXiv
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]

open access: yesarXiv
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]

open access: yesarXiv
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  

Diverse soliton wave profile assessment to the fractional order nonlinear Landau-Ginzburg-Higgs and coupled Boussinesq-Burger equations

open access: yesResults in Physics
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  

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