Riemann‐Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5416
Abstract: 1College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, China 2Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia 3Department of Mathematics and Statistics, University of South Florida, Tampa, Florida 4Department of Mathematics,… read more here.
Keywords: riemann hilbert; mathematics; problems soliton; soliton solutions ... See more keywords
Matrix Riemann–Hilbert problems with jumps across Carleson contours
Sign Up to like & getrecommendations! Published in 2018 at "Monatshefte Fur Mathematik"
DOI: 10.1007/s00605-017-1019-0
Abstract: We develop a theory of $$n \times n$$n×n-matrix Riemann–Hilbert problems for a class of jump contours and jump matrices of low regularity. Our basic assumption is that the contour $$\Gamma $$Γ is a finite union… read more here.
Keywords: riemann hilbert; matrix riemann; problems jumps; hilbert ... See more keywords
Riemann–Hilbert problems with Carleman shift and conjugation for polynomial Beltrami equations
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1689564
Abstract: ABSTRACT In this paper, we study Riemann–Hilbert problems with Carleman shift and conjugation on the Lyapunov curve for null solutions of some certain polynomial Beltrami equations. Firstly, by constructing and verifying an explicit weakly singular… read more here.
Keywords: riemann hilbert; carleman shift; hilbert problems; beltrami equations ... See more keywords