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<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">SSR</journal-id><journal-title-group><journal-title>Scientific and Social Research</journal-title></journal-title-group><issn>2661-4332</issn><eissn>2981-9946</eissn><publisher><publisher-name>Bio-Byword Scientific Publishing Pty. Ltd.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26689/ssr.v6i12.9147</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>The Riemann-Hilbert Problem and Soliton Solution of a Variable Coefficient Nonlocal GI Equation</title><url>https://artdesignp.com/journal/SSR/6/12/10.26689/ssr.v6i12.9147</url><author>SuiKaipeng,WuZekang,ZhaoDejun,SongXingxin,WangXiaoli</author><pub-date pub-type="publication-year"><year>2024</year></pub-date><volume>6</volume><issue>12</issue><history><date date-type="pub"><published-time>2024-12-31</published-time></date></history><abstract>This paper adopts the Riemann-Hilbert method to investigate a variable coefficient nonlocal Gerdjikov-Ivanov (GI) equation. A solvable regular Riemann-Hilbert problem with simple zeros is constructed through spectral analysis. Furthermore, the paper provides the determinant form of N-solutions for the equation.</abstract><keywords/></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>Wen L, Fan E, 2022, N-Soliton Solution of The Kundu-Type Equation Via Riemann-Hilbert Approach. Acta Mathematica Scientia, 2022(40): 113–126.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B2" content-type="article"><label>2</label><element-citation publication-type="journal"><p>Wang D, Wang X, 2018, Long-time Asymptotics and the Bright N-soliton Solutions of the Kundu–Eckhaus Equation via the Riemann-Hilbert Approach. Nonlinear Analysis: Real World Applications, 2018(41): 334–361.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B3" content-type="article"><label>3</label><element-citation publication-type="journal"><p>Liu W, Geng X, 2023, Spectral Analysis and Long-time Asymptotics for the Harry Dym-type Equation with the Schwartz Initial Data. Journal of Differential Equations, 2023(357): 181–235.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B4" content-type="article"><label>4</label><element-citation publication-type="journal"><p>Geng X, Wang K, 2021, Long-time Asymptotics for the Spin-1 Gross–Pitaevskii Equation. Communications in Mathematical Physics, 2021(382): 585–611.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B5" content-type="article"><label>5</label><element-citation publication-type="journal"><p>Takasaki K, 2005, Tyurin Parameters of Commuting Pairs and Infinite Dimensional Grassmann Manifold. Rokko Lectures in Mathematics, 2005(18): 289–304.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B6" content-type="article"><label>6</label><element-citation publication-type="journal"><p>Hedenmalm H, Wennman A, 2024, Riemann-Hilbert Hierarchies for Hard Edge Planar Orthogonal Polynomials. American Journal of Mathematics, 146(2): 371–403.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B7" content-type="article"><label>7</label><element-citation publication-type="journal"><p>Gerdjikov V, Ivanov I, 1983, A Quadratic Pencil of General Type and Nonlinear Evolution Equations II. Hierarchies of Hamiltonian Structures. Bulgarian Journal of Physics, 1983(10): 130–143.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B8" content-type="article"><label>8</label><element-citation publication-type="journal"><p>Li M, Zhang Y, 2021, Exact Solutions of the nonlocal Gerdjikov-Ivanov Equation. Communications in Theoretical Physics, 73(10): 105005.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
