Existence of Radial Mixed Type Solutions in Chern–Simons Theories of Rank 2 in $$\mathbb {R}^2$$R2
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03469-6
Abstract: AbstractWe are concerned with Chern–Simons gauge theories of rank 2 in $$\mathbb {R}^2$$R2 such as SU(3), SO(5), and $$G_2$$G2 Chern–Simons theory. One can reduce the self-dual equations of these models to a $$2\times 2$$2×2 system… read more here.
Keywords: existence; chern simons; rank mathbb; mixed type ... See more keywords
Rogue wave-type solutions of the mKdV equation and their relation to known NLSE rogue wave solutions
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DOI: 10.1007/s11071-017-3991-2
Abstract: We present the first four exact rational solutions of the set of rational solutions of the modified Korteweg–de Vries equation. These solutions can be considered as rogue waves of the corresponding equation. Comparison with rogue… read more here.
Keywords: rogue; wave solutions; type solutions; wave type ... See more keywords
New type of solutions to a slightly subcritical Hénon type problem on general domains
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DOI: 10.1016/j.jde.2017.08.005
Abstract: Abstract We consider the following slightly subcritical problem ( ℘ e ) { − Δ u = β ( x ) | u | p − 1 − e u in Ω , u =… read more here.
Keywords: new type; slightly subcritical; subcritical non; type solutions ... See more keywords
New type of solutions to a slightly subcritical Hénon type problem in dimensions 7, 8 and 9
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DOI: 10.1016/j.jde.2019.09.050
Abstract: Abstract Inspired from the constructive method of Davilla et al. [10] , with new ingredients, we extend their existence results to dimensions 7 ≤ n ≤ 9 concerning the following Henon type problem { −… read more here.
Keywords: new type; type problem; type solutions; solutions slightly ... See more keywords
Cauchy Matrix Type Solutions for the Nonlocal Nonlinear Schrödinger Equation
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DOI: 10.1016/s0034-4877(19)30070-9
Abstract: In this paper, we study some Cauchy matrix type solutions for the nonlocal nonlinear Schrodinger equations, including Cauchy matrix type multisoliton solutions and Cauchy matrix type Jordan block solutions. These solutions are obtained from the… read more here.
Keywords: nonlocal nonlinear; cauchy matrix; solutions nonlocal; type solutions ... See more keywords
Gevrey Asymptotics for Logarithmic-Type Solutions to Singularly Perturbed Problems with Nonlocal Nonlinearities
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DOI: 10.1155/2023/3025513
Abstract: We investigate a family of nonlinear partial differential equations which are singularly perturbed in a complex parameter ϵ and singular in a complex time variable t at the origin. These equations combine differential operators of… read more here.
Keywords: singularly perturbed; gevrey asymptotics; logarithmic type; type solutions ... See more keywords