Heteroclinic and homoclinic solutions for nonlinear second-order coupled systems with $$\phi $$-Laplacians
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-021-01556-w
Abstract: In this paper we present sufficient conditions for the existence of heteroclinic or homoclinic solutions for second order coupled systems of differential equations on the real line. We point out that it is required only… read more here.
Keywords: order coupled; heteroclinic homoclinic; second order; homoclinic solutions ... See more keywords
Existence of homoclinic solutions for nonlinear second-order coupled systems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.07.072
Abstract: Abstract This work presents sufficient conditions for the existence of homoclinic solutions for second order coupled discontinuous systems of differential equations on the real line without the usual growth condition in the literature. The arguments… read more here.
Keywords: order coupled; existence homoclinic; homoclinic solutions; solutions nonlinear ... See more keywords
Analytical solutions of linear and non-linear incommensurate fractional-order coupled systems
Sign Up to like & getrecommendations! Published in 2021 at "Indonesian Journal of Electrical Engineering and Computer Science"
DOI: 10.11591/ijeecs.v21.i2.pp776-790
Abstract: In this paper, a new analytical method is developed for solving linear and non-linear fractional-order coupled systems of incommensurate orders. The system consists of two fractional-order differential equations of orders . The proposed approach is… read more here.
Keywords: linear non; non linear; order; order coupled ... See more keywords
Similarity Solution for a System of Fractional-Order Coupled Nonlinear Hirota Equations with Conservation Laws
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11112465
Abstract: The analysis of differential equations using Lie symmetry has been proved a very robust tool. It is also a powerful technique for reducing the order and nonlinearity of differential equations. Lie symmetry of a differential… read more here.
Keywords: system; order coupled; coupled nonlinear; differential equations ... See more keywords
Neumann Type Integrable Reduction to the Negative-Order Coupled Harry–Dym Hierarchy
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Physical Society of Japan"
DOI: 10.7566/jpsj.87.104004
Abstract: Based on the Lax compatibility, the negative-order coupled Harry--Dym (ncHD) hierarchy depending upon one parameter $\alpha$ is retrieved in the Lenard scheme, which includes the two-component Camassa--Holm (2CH) equation as a special member with $\alpha=-\frac14$.… read more here.
Keywords: order coupled; coupled harry; neumann type; hierarchy ... See more keywords