One-dimensional three-wave resonant interaction systems: General higher-order semi-rational rogue wave solutions and their dynamic behaviors
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0238544
Abstract: General higher-order semi-rational rogue wave solutions within one-dimensional three-wave resonant interaction systems are investigated, utilizing the bilinear Kadomtsev-Petviashvili hierarchy reduction method. These solutions, formulated as determinants involving Schur polynomials and exponential functions, are classified into… read more here.
Keywords: higher order; order semi; wave solutions; rogue ... See more keywords
On the limit distribution of a second-order semi-Markov chain in state and duration
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2015.1116574
Abstract: ABSTRACT In this paper, we derive conditions under which second-order semi-Markov chains in state and duration admits a limit distribution. read more here.
Keywords: second order; order semi; limit distribution; state duration ... See more keywords
Second-order semi-aplanatic freeform optics as a limit case of the SMS 3D design method.
Sign Up to like & getrecommendations! Published in 2022 at "Optics express"
DOI: 10.1364/oe.458626
Abstract: Second-order semi-aplanatism provides better imaging quality along a line of the object plane close to a point than conventional aplanatic optics, which is of interest in applications with high aspect ratio sensors. Designing an optic… read more here.
Keywords: limit case; optics; order semi; design ... See more keywords