Results 21 to 30 of about 10,897,824 (131)
Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
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Riemann–Hilbert approach to the elastodynamic equation: half plane
, 2021 We show, how the Riemann–Hilbert approach to the elastodynamic equations, which have been suggested in our preceding papers, works in the half plane case.
Its, Alexander, Its, Elizabeth
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The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions
Abstract and Applied Analysis, 2019 The Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann-Hilbert approach. The N-soliton solutions are given in a compact form as a ratio of (N+1)×(N+1) determinant and N×N determinant, and the ...
Siqi Xu
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Dark effects in $$\tilde{f}(R,P)$$ f ~ ( R , P ) gravity
European Physical Journal C: Particles and Fields, 2021 In the present paper a new cosmological model is proposed by extending the Einstein–Hilbert Lagrangian with a generic functional $$\tilde{f}(R,P)$$ f ~ ( R , P ) , which depends on the scalar curvature R and a term P which encodes a possible influence ...
Mihai Marciu
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A Riemann–Hilbert approach to solution of the modified focusing complex short pulse equation
Frontiers in Applied Mathematics and StatisticsWe develop a Riemann–Hilbert approach to the modified focusing complex short pulse (mfcSP) equationuxt=u+12u¯(u2)xxwith zero boundary conditions (as |x| → ∞).
Ruslan Barkov +2 more
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The “Good” Boussinesq Equation: a Riemann-Hilbert Approach
, 2022 We develop an inverse scattering transform formalism for the “good” Boussinesq equation on the line. Assuming that the solution exists, we show that it can be expressed in terms of the solution of a 3 × 3 matrix Riemann-Hilbert problem.
Charlier, Christophe,, Lenells, Jonatan,
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Alexandria Engineering JournalThis article combines the Riemann–Hilbert method with fractional power-law time-varying spectrum for the first time to solve a time fractional nonisospectral complex mKdV (tfniscmKdV) equation. Firstly, the tfniscmKdV equation and its associated Lax pair
Bo Xu, Sheng Zhang
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A Riemann–Hilbert approach to the Heun equation [PDF]
, 2018 We describe the close connection between the linear system for the sixth Painlevé equation and the general Heun equation, formulate the Riemann–Hilbert problem for the Heun functions and show how, in the case of reducible monodromy, the Riemann–Hilbert ...
Dubrovin, B. +3 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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A general framework for solving Riemann-Hilbert problems\ud numerically [PDF]
, 2010 A new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert problems is developed, based on a recent method for the homogeneous Painlev\'e II Riemann- Hilbert problem.
Olver, Sheehan
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