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pro vyhledávání: '"Decker, Robert"'
In the present work we explore the path from a harmonic to a biharmonic PDE of Klein-Gordon type from a continuation/bifurcation perspective. More specifically, we make use of the Riesz fractional derivative as a tool that allows us to interpolate be
Externí odkaz:
http://arxiv.org/abs/2410.18426
Autor:
Tsolias, G. A., Decker, Robert J., Demirkaya, A., Alexander, T. J., Parker, Ross, Kevrekidis, P. G.
In the present work we explore the competition of quadratic and quartic dispersion in producing kink-like solitary waves in a model of the nonlinear Schr{\"o}dinger type bearing cubic nonlinearity. We present the first 6 families of multikink solutio
Externí odkaz:
http://arxiv.org/abs/2211.16375
Autor:
Nikoukar, Romina, Hill, Matthew E., Brown, Lawrence, Krimigis, Stamatios M., Decker, Robert B., Dialynas, Konstantinos, Kota, Jozsef, Roelof, Edmond C., Lasley, Scott, Hamilton, Douglas C., Florinski, Vladimir, Giacalone, Joe, Richardson, John, Opher, Merav
We report on the energy dependence of galactic cosmic rays (GCRs) in the very local interstellar medium (VLISM) as measured by the Low Energy Charged Particle (LECP) instrument on the Voyager 1 (V1) spacecraft. The LECP instrument includes a dual-end
Externí odkaz:
http://arxiv.org/abs/2201.07844
Autor:
Alexander, Tristram J., Tsolias, G. A., Demirkaya, A., Decker, Robert J., de Sterke, C. Martijn, Kevrekidis, P. G.
We show theoretically that dark solitons can exist in the presence of pure quartic dispersion, and also in the presence of both quadratic and quartic dispersive effects, displaying a much greater variety of possible solutions and dynamics than for pu
Externí odkaz:
http://arxiv.org/abs/2111.15274
We consider the interaction of solitary waves in a model involving the well-known $\phi^4$ Klein-Gordon theory, but now bearing both Laplacian and biharmonic terms with different prefactors. As a result of the competition of the respective linear ope
Externí odkaz:
http://arxiv.org/abs/2012.15060
We consider the interaction of solitons in a biharmonic, beam model analogue of the well-studied $\phi^4$ Klein-Gordon theory. Specifically, we calculate the force between a well separated kink and antikink. Knowing their accelerations as a function
Externí odkaz:
http://arxiv.org/abs/2005.04523
Autor:
Christov, Ivan C., Decker, Robert J., Demirkaya, A., Gani, Vakhid A., Kevrekidis, P. G., Saxena, Avadh
Publikováno v:
Commun. Nonlinear Sci. Numer. Simulat. 97 (2021) 105748
We study collisions of coherent structures in higher-order field-theoretic models, such as the $\phi^8$, $\phi^{10}$ and $\phi^{12}$ ones. The main distinguishing feature, of the example models considered herein, is that the collision arises due to t
Externí odkaz:
http://arxiv.org/abs/2005.00154
Autor:
Decker, Robert J., Demirkaya, Aslihan, Kevrekidis, Panayotis G., Iglesias, Digno, Severino, Jeff, Shavit, Yonathan
In this paper, we study the single kink and the kink-antikink collisions of a nonlinear beam equation bearing a fourth-derivative term. We numerically explore some of the key characteristics of the single kink both in its standing wave and in its tra
Externí odkaz:
http://arxiv.org/abs/2001.06973
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