Two equal collinear cracks in magneto-electro-elastic materials: A study of electric and magnetic poling influences by Jangid Kamlesh

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Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory by Georgi G. Grahovski, Vladimir S. Gerdjikov

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Riemann–Hilbert Problems and Soliton Solutions of Type (<inline-formula><math display="inline"><semantics><mrow><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mo>−</mo><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>) Reduced Nonlocal Integrable mKdV Hierarchies by Wen-Xiu Ma

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Nonlinear initial boundary-value problems with Riesz fractional derivative by Martin P. Arciga-Alejandre

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Computing Robin Problem on Unbounded Simply Connected Domain via an Integral Equation with the Generalized Neumann Kernel by Shwan H. H. Al-Shatri, Karzan Wakil, Munira Ismail

Subjects: “…Robin problem, Riemann-Hilbert problem, Integral equation, Generalized Neumann kernel, Simply connected region.…”
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Inverse Scattering and Soliton Solutions of Nonlocal Complex Reverse-Spacetime Modified Korteweg-de Vries Hierarchies by Liming Ling, Wen-Xiu Ma

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Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type by Nikolay A. Kostov, Vladimir S. Gerdjikov

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Soliton hierarchies and soliton solutions of type (−λ∗, −λ) reduced nonlocal nonlinear Schrödinger equations of arbitrary even order by Wen-Xiu Ma

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Monodromy of a Class of Logarithmic Connections on an Elliptic Curve by Francois-Xavier Machu

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Analyticity of the Free Energy of a Closed 3-Manifold by Stavros Garoufalidis, Thang T.Q. Lê, Marcos Mariño

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Infinite dimension of solutions of the Dirichlet problem by Ryazanov Vladimir

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An integral equation method for solving exterior Neumann problems on smooth regions by Jumadi, Azlina

“…An integral equation for solving the exterior Neumann problem in a simply connected region is derived in this dissertation based on the exterior Riemann-Hilbert problem. In the first step the exterior Neumann problem is reduced to an exterior Riemann-Hilbert problem for the derivative of an auxiliary function which is analytic in the region. …”
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A Boundary integral equation for the Neumann problem in bounded multiply connected region by Alejaily, Ejaily Milad Ahmed

“…Our approach in this research is to convert the Neumann problem into the Riemann- Hilbert problem and then derive an integral equation related to the Riemann-Hilbert problem. …”
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Riemann–Hilbert approach and N-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber by Zhou-Zheng Kang, Tie-Cheng Xia, Wen-Xiu Ma

“…Starting from the spectral analysis of the Lax pair, a matrix Riemann–Hilbert problem is formulated strictly. Then, by solving the obtained Riemann–Hilbert problem under the reflectionless case, N-soliton solution is generated for the eighth-order nonlinear Schrödinger equation. …”
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Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region by Alhatemi, S. A. A., Murid, A. H. M., Nasser, M. M. S.

“…Our approach in this paper is to reformulate the mixed boundary value problem into the form of Riemann-Hilbert problem. The Riemann-Hilbert problem is then solved using a uniquely solvable Fredholm integral equation on the boundary of the region. …”

A boundary integral equation for the exterior neumann problem on multiply connected region by Chye, Mei Sian

“…Our approach in this research is to convert the exterior Neumann problem into the exterior Riemann-Hilbert problem. The exterior Riemann-Hilbert problem is then solved using a uniquely solvable Fredholm integral equation on the boundary of the region. …”
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Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region by Salim, Sarfraz Hassan

“…The method depends on reformulating the boundary value problem with mixed Dirichlet - Neumann condition to the Riemann - Hilbert problem. Our approach in this dissertation is to work out in detail the reformulation of the mixed boundary value problem into the Riemann - Hilbert problem and study the efficiency of the proposed numerical scheme on challenging geometries, in particular when the boundaries are closed to each other. …”
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Solving a mixed boundary value problem via an integral equation with adjoint generalized neumann kernel in bounded multiply connected regions by Al-Hatemi, Samer A., Mohamed Murid, Ali Hassan, Nasser, Mohamed M. S.

“…Our approach in this paper is to reformulate the mixed boundary value problem into the form of Riemann-Hilbert problem. The Riemann-Hilbert problem is then solved using a uniquely solvable Fredholm integral equation on the boundary of the region. …”

Well-posedness of discontinuous boundary-value problems for nonlinear elliptic complex equations in multiply connected domains by Guo-Chun Wen

“…In the first part of this article, we study a discontinuous Riemann-Hilbert problem for nonlinear uniformly elliptic complex equations of first order in multiply connected domains. …”
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Numerical inverse scattering for the Korteweg–-de Vries and modified Korteweg–-de Vries equations by Trogdon, T, Olver, S, Deconinck, B

“…Solving KdV requires the introduction of poles in the Riemann–Hilbert problem and more complicated deformations. …”