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1. Full Text Initial–boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
by Tian, Shou-Fu
Journal of Differential Equations, ISSN 0022-0396, 01/2017, Volume 262, Issue 1, pp. 506 - 558
Integrable system | Initial–boundary value problem | Dirichlet-to-Neumann map | Riemann–Hilbert problem | Coupled nonlinear Schrödinger equation | Physical Sciences | Mathematics | Science & Technology | Analysis | Methods | Differential equations
Journal Article
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2. Combinatorics and random matrix theory
by Baik, Jinho, 1973 and Deift, Percy, 1945- author and Suidan, Toufic Mubadda, 1975- author
2016, Graduate studies in mathematics, ISBN 9780821848418, Volume 172, xi, 461
Random matrices (probabilistic aspects; for algebraic aspects see 15B52) | Equations of mathematical physics and other areas of application | Partial differential equations | Approximations and expansions | Probability theory and stochastic processes | Special matrices | Operator theory | Probability theory on algebraic and topological structures | Riemann-Hilbert problems | Exact enumeration problems, generating functions | Convex and discrete geometry | Special classes of linear operators | Combinatorics | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) | Time-dependent statistical mechanics (dynamic and nonequilibrium) | Enumerative combinatorics | Exactly solvable dynamic models | Linear and multilinear algebra; matrix theory | Special processes | Statistical mechanics, structure of matter | Toeplitz operators, Hankel operators, Wiener-Hopf operators | Tilings in $2$ dimensions | Interacting random processes; statistical mechanics type models; percolation theory | Discrete geometry | Random matrices | Combinatorial analysis
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3. Differential Galois theory through Riemann-Hilbert correspondence
: an elementary introduction
by Sauloy, Jacques, author
2016, Graduate studies in mathematics, ISBN 1470430959, Volume 177, xxiii, 275 pages
Riemann-Hilbert problems | Galois theory
Book
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4. Full Text Riemann–Hilbert problems and N-soliton solutions for a coupled mKdV system
by Ma, Wen-Xiu
Journal of geometry and physics, ISSN 0393-0440, 10/2018, Volume 132, pp. 45 - 54
[formula omitted]-soliton solution | Riemann–Hilbert problem | Integrable hierarchy | N-soliton solution | Physical Sciences | Mathematics | Physics | Physics, Mathematical | Science & Technology
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5. Full Text Initial-boundary value problems of the coupled modified Korteweg-de Vries equation on the half-line via the Fokas method
by Tian, Shou-Fu
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 9/2017, Volume 50, Issue 39, p. 395204
Riemann-Hilbert problem | integrable system | initial-boundary value problem | Dirichlet to Neumann map | coupled modified Korteweg-de Vries equation | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology
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6. Boundary value problems for analytic and harmonic functions in nonstandard banach function spaces
by Kokilashvili, Vakhtang and Paatashvili, Vakhtang
2012, ISBN 1619423014
Book
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7. Initial-boundary value problems for the coupled modified korteweg-de vries equation on the interval
by Tian, Shou-Fu
Communications on pure and applied analysis, ISSN 1534-0392, 05/2018, Volume 17, Issue 3, pp. 923 - 957
Integrable system | Initial-boundary value problem | Riemann-hilbert problem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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8. Full Text Segal–Wilson approach to integrable systems and Riemann–Hilbert problems
by dos Santos, António F and dos Santos, Pedro F
Journal of mathematical analysis and applications, ISSN 0022-247X, 11/2016, Volume 443, Issue 2, pp. 797 - 816
Factorization | Integrable systems | Riemann–Hilbert problems | Riemann-Hilbert problems | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Analysis | Numerical analysis
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9. Full Text Riemann–Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line
by Hu, Bei-Bei and Xia, Tie-Cheng and Ma, Wen-Xiu
Applied mathematics and computation, ISSN 0096-3003, 09/2018, Volume 332, pp. 148 - 159
Initial-boundary value problem | Unified transform method | Two-component mKdV equation | Riemann–Hilbert problem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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10. Full Text Initial-boundary value problems for integrable evolution equations with 3×3 Lax pairs
by Lenells, Jonatan
Physica. D, ISSN 0167-2789, 04/2012, Volume 241, Issue 8, pp. 857 - 875
Integrable system | Initial-boundary value problem | Inverse scattering | Riemann–Hilbert problem | Riemann-Hilbert problem
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11. Full Text Initial–boundary value problems associated with the Ablowitz–Ladik system
by Xia, Baoqiang and Fokas, A.S
Physica. D, ISSN 0167-2789, 02/2018, Volume 364, pp. 27 - 61
Integrable system | Initial–boundary value problem | Riemann–Hilbert problem | Physical Sciences | Physics, Fluids & Plasmas | Physics, Mathematical | Physics, Multidisciplinary | Mathematics | Mathematics, Applied | Physics | Science & Technology | Physics - Exactly Solvable and Integrable Systems
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12. Full Text Riemann‐Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction
by Ma, Wen‐Xiu
Mathematical methods in the applied sciences, ISSN 0170-4214, 03/2019, Volume 42, Issue 4, pp. 1099 - 1113
matrix spectral problem | soliton solution | Riemann‐Hilbert problem | Riemann-Hilbert problem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Reduction
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13. Full Text Long-time asymptotics for the Fokas–Lenells equation with decaying initial value problem: Without solitons
by Xu, Jian and Fan, Engui
Journal of Differential Equations, ISSN 0022-0396, 08/2015, Volume 259, Issue 3, pp. 1098 - 1148
Deift–Zhou method | Fokas–Lenells equation | Initial value problem | Riemann–Hilbert problem | Riemann-Hilbert problem | Fokas-Lenells equation | Deift-Zhou method | Physical Sciences | Mathematics | Science & Technology
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14. Full Text Initial–boundary problems for the vector modified Korteweg–de Vries equation via Fokas unified transform method
by Liu, Huan and Geng, Xianguo
Journal of mathematical analysis and applications, ISSN 0022-247X, 08/2016, Volume 440, Issue 2, pp. 578 - 596
Fokas unified transform method | Vector modified Korteweg–de Vries equation | Initial–boundary value problems | Riemann–Hilbert problem | Vector modified Korteweg-de Vries equation | Riemann-Hilbert problem | Initial-boundary value problems | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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15. Full Text Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems
by Chen, Shuyan and Yan, Zhenya
Journal of mathematical analysis and applications, ISSN 0022-247X, 06/2021, Volume 498, Issue 2
Riemann-Hilbert problem | Coupled dispersive AB system | Long-time asymptotics | Initial-value condition | Nonlinear steepest descent method
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16. Full Text The Clifford Hilbert transform and Riemann–Hilbert problems associated to the Dirac operator in Lebesgue spaces
by Gu, Longfei
Applied mathematics and computation, ISSN 0096-3003, 01/2020, Volume 364, p. 124686
Hilbert transform | Fourier transform | Dirac operator | Calderón–Zygmund decomposition | Riemann–Hilbert problems | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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17. Full Text Initial-Boundary Value Problems for the Coupled Higher-Order Nonlinear Schrödinger Equations on the Half-line
by Hu, Bei-bei and Xia, Tie-cheng and Zhang, Ning and Wang, Jin-bo
International journal of nonlinear sciences and numerical simulation, ISSN 1565-1339, 02/2018, Volume 19, Issue 1, pp. 83 - 92
unified transform method | 02.30.Ik | 35G31 | 35Q15 | CHNLS equations | 03.65.Nk | 02.30.Jr | initial-boundary value problem | 35Q51 | Riemann–Hilbert problem | Riemann-Hilbert problem | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Physics, Mathematical | Mechanics | Mathematics | Mathematics, Applied | Physics | Science & Technology | Nonlinear equations | Boundary value problems | Schroedinger equation | Mathematical analysis
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