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N-th-Order Solutions for the Reverse Space-Time Nonlocal mKdV Equation: Riemann–Hilbert Approach
This paper explores the reverse space-time mKdV equation through the application of the Riemann–Hilbert problem. Under the zero boundary condition, we derive the Jost solutions, examine their the analytic and symmetry properties alongside those of ...
Bingwen Lin, Yongshuai Zhang
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From Quantum Curves to Topological String Partition Functions. [PDF]
Commun Math Phys, 2023 Coman I, Pomoni E, Teschner J.
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Interior Microstates and Black Hole Entropy. [PDF]
Entropy (Basel)Sasieta M.
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A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type
We present a representation of skew-orthogonal polynomials of symplectic type ($β=4$) in terms of a matrix Riemann-Hilbert problem, for weights of the form ${\rm e}^{-V(z)}$ where $V$ is a polynomial of even degree and positive leading coefficient.
Little, Alex
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Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Sci RepAlmetwally EM +5 more
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Numerical solution of Riemann-Hilbert problems: Painleve II
, 2009 We describe a new spectral method for solving matrix-valued Riemann-Hilbert problems numerically. We demonstrate the effectiveness of this approach by computing solutions to the homogeneous Painleve II equation.
Olver, Sheehan
core
Koopman-von Neumann and Weyl-Wigner Phase-Space Formulation of Inviscid Euler Flows. [PDF]
Entropy (Basel)Molnar SM, Godfrey JR.
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A fractional SEIVRB model for aquatic diseases dynamics with stability analysis and numerical solution. [PDF]
Sci RepKosari S +3 more
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