Randomness and Nonlinear Evolution Equations
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-019-8297-5
Abstract: In this paper we survey some results on existence, and when possible also uniqueness, of solutions to certain evolution equations obtained by injecting randomness either on the set of initial data or as a perturbative… read more here.
Keywords: randomness nonlinear; evolution; evolution equations; nonlinear evolution ... See more keywords
Nonlinear evolution of oblique whistler waves in radiation belts
Sign Up to like & getrecommendations! Published in 2017 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-016-3003-x
Abstract: Magnetic power spectrum and formation of coherent structures have been investigated in the present work applicable to Van Allen radiation belt. The nonlinear interaction of high frequency oblique whistler wave and low frequency magnetosonic wave… read more here.
Keywords: nonlinear evolution; magnetic power; spectrum; oblique whistler ... See more keywords
Interaction solutions between lump and other solitons of two classes of nonlinear evolution equations
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3462-9
Abstract: Interaction solutions are obtained from (2+1)-dimensional BLMP equation and (3+1)-dimensional nonlinear evolution equation by using a direct method. The interaction solutions of the two equations presented that a lump appear from a soliton wave and… read more here.
Keywords: interaction solutions; nonlinear evolution; side soliton; soliton wave ... See more keywords
Bäcklund transformation, multiple wave solutions and lump solutions to a (3 + 1)-dimensional nonlinear evolution equation
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3581-3
Abstract: In this paper, a $$(3+1)$$(3+1)-dimensional nonlinear evolution equation is cast into Hirota bilinear form with a dependent variable transformation. A bilinear Bäcklund transformation is then presented, which consists of six bilinear equations and involves nine… read more here.
Keywords: nonlinear evolution; wave solutions; transformation; dimensional nonlinear ... See more keywords
Dynamics of lump collision phenomena to the (3+1)-dimensional nonlinear evolution equation
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104347
Abstract: Abstract The lump solutions have been shown to be one of the most effective solutions for nonlinear evolution problems. The resilient Hirota bilinear method is used to evaluate the integrable (3+1)-dimensional nonlinear evolution equation in… read more here.
Keywords: dimensional nonlinear; evolution equation; nonlinear evolution; evolution ... See more keywords
Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid
Sign Up to like & getrecommendations! Published in 2018 at "Heliyon"
DOI: 10.1016/j.heliyon.2018.e00756
Abstract: Two nonlinear evolution equations, namely the Kadomtsev-Petviashvili (KP) equation which describes the dynamics of soliton and nonlinear wave in the field of fluid dynamics, plasma physics and the Oskolkov equation which describes the dynamics of… read more here.
Keywords: two nonlinear; nonlinear evolution; wave solutions; fluid ... See more keywords
Exact solutions of space-time local fractal nonlinear evolution equations: A generalized conformable derivative approach
Sign Up to like & getrecommendations! Published in 2020 at "Results in physics"
DOI: 10.1016/j.rinp.2020.103135
Abstract: Abstract In this work, a generalized type of conformable local fractal derivative (GCFD) is employed to investigate some nonlinear evolution equations. A modern technique for solving the nonlinear evolution equations is introduced. This technique based… read more here.
Keywords: nonlinear evolution; evolution equations; space time; local fractal ... See more keywords
Rational closed form soliton solutions to certain nonlinear evolution equations ascend in mathematical physics
Sign Up to like & getrecommendations! Published in 2021 at "Results in Physics"
DOI: 10.1016/j.rinp.2021.104450
Abstract: Abstract The variant Boussinesq and the Lonngren wave equations are underlying to model waves in shallow water, such as beaches, lakes, and rivers, as well as electrical signals in telegraph lines based on tunnel diodes.… read more here.
Keywords: nonlinear evolution; evolution equations; physics; soliton ... See more keywords
Nonlinear evolution of energetic-particles-driven waves in collisionless plasmas
Sign Up to like & getrecommendations! Published in 2018 at "Physics of Plasmas"
DOI: 10.1063/1.5028528
Abstract: A one-dimensional electrostatic collisionless particle-in-cell code has been developed to study the nonlinear interaction between electrostatic waves and energetic particles (EPs). For a single wave, the results are clear and agree well with the existing… read more here.
Keywords: order; energetic particles; nonlinear evolution; second order ... See more keywords
Nonlinear evolution in the re-summed next-to-leading order of perturbative QCD: Confronting the experimental data
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.104.116020
Abstract: Carlos Contreras,1, ∗ Eugene Levin,1, 2, 3, † and Michael Sanhueza1, ‡ Departamento de Física, Universidad Técnica Federico Santa María, Avda. España 1680, Casilla 110-V, Valparaíso, Chile Centro CientíficoTecnológico de Valparaíso, Avda. España 1680, Casilla… read more here.
Keywords: physics; nonlinear evolution; leading order; summed next ... See more keywords
Nonlinear evolution and nonuniqueness of scalarized neutron stars
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.104.124013
Abstract: Hao-Jui Kuan, 2, ∗ Jasbir Singh, 3, 4, 5, † Daniela D. Doneva, ‡ Stoytcho S. Yazadjiev, 8, § and Kostas D. Kokkotas ¶ 1Theoretical Astrophysics, Eberhard Karls University of Tübingen, Tübingen 72076, Germany 2Department… read more here.
Keywords: physics; trieste; nonlinear evolution; evolution nonuniqueness ... See more keywords