Complete solutions of three-dimensional problems in transversely isotropic media
Sign Up to like & getrecommendations! Published in 2018 at "Continuum Mechanics and Thermodynamics"
DOI: 10.1007/s00161-018-0733-8
Abstract: We present a systematic approach to the derivation of complete solutions for three-dimensional transversely isotropic elastic problems. The class of solutions derived in the paper is obtained by exploiting the entire kernel of the differential… read more here.
Keywords: three dimensional; isotropic media; dimensional problems; solutions three ... See more keywords
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-021-10090-6
Abstract: The existence of nonmonotone traveling wave solutions of the three-species Lotka–Volterra competition diffusion system under strong competition is established. A traveling wave solution can be considered as a heteroclinic orbit of a vector field in… read more here.
Keywords: three species; volterra competition; lotka volterra; species lotka ... See more keywords
Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas–Lenells system
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DOI: 10.1007/s11071-019-05285-y
Abstract: We study the dynamic behaviors of mixed localized solutions for the three-component coupled Fokas–Lenells (FL) system. First, the corresponding Lax pair and the generalized (n, M)-fold Darboux transformation are constructed. Second, the first- and second-order mixed… read more here.
Keywords: mixed localized; system; component; localized solutions ... See more keywords
Bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-016-0998-7
Abstract: This paper studies the bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations with parameter. Using the topological degree theory and the bifurcation technique, the existence of positive solutions is… read more here.
Keywords: bifurcation positive; positive solutions; three point; boundary value ... See more keywords
Analytical solutions for three-dimensional modeling of temperature rise inside solid material induced by laser irradiation
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DOI: 10.1016/j.ijleo.2016.12.040
Abstract: Abstract In this paper, analytical solutions for three-dimensional(3-D) modeling of temperature rise inside solid material induced by laser irradiation is presented. Firstly, the theoretical physical model of temperature rise for a material surface irradiated by… read more here.
Keywords: laser; temperature; analytical solutions; temperature rise ... See more keywords
Bifurcations of solitary wave solutions for the three dimensional Zakharov–Kuznetsov–Burgers equation and Boussinesq equation with dual dispersion
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DOI: 10.1016/j.ijleo.2017.06.020
Abstract: Abstract In this research, we apply a new technique for solving and obtaining exact and solitary wave solutions of the three dimensional Zakharov–Kuznetsov–Burgers equation for the dust-ion-acoustic waves in dusty plasmas and Boussinesq equation with… read more here.
Keywords: three dimensional; wave solutions; solitary wave; dimensional zakharov ... See more keywords
Global well-posedness and analyticity of solutions to three-dimensional Hall-MHD equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.03.020
Abstract: Abstract In this paper, suppose that the initial data is sufficiently small, we study the global well-posedness and analyticity of mild solutions to the three-dimensional incompressible Hall-MHD equations. read more here.
Keywords: three dimensional; global well; well posedness; posedness analyticity ... See more keywords
Dispersive analytical wave solutions of three nonlinear dynamical water waves models via modified mathematical method
Sign Up to like & getrecommendations! Published in 2019 at "Results in Physics"
DOI: 10.1016/j.rinp.2019.102177
Abstract: Abstract Here inside script, novel technique extended simple equation is employed to establish servable exact traveling wave solutions in the form of hyperbolic, trigonometric and expontional via our three selective models, which illustrated the validity… read more here.
Keywords: three nonlinear; dispersive analytical; analytical wave; method ... See more keywords
Exact Solutions of Three Types of Conformable Fractional-Order Partial Differential Equations
Sign Up to like & getrecommendations! Published in 2022 at "Computational Intelligence and Neuroscience"
DOI: 10.1155/2022/5295115
Abstract: Fractional calculus is widely used in biology, control systems, and engineering, so it has been highly valued by scientists. Fractional differential equations are considered an important mathematical model that is widely used in science and… read more here.
Keywords: three types; solutions three; types conformable; exact solutions ... See more keywords