Ren, Bo; Lin, Ji; Wang, Wan-Li Painlevé analysis, infinite dimensional symmetry group and symmetry reductions for the \((2+1)\)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation. (English) Zbl 07724084 Commun. Theor. Phys. 75, No. 8, Article ID 085006, 6 p. (2023). MSC: 35Q53 37K10 35B06 37K30 PDF BibTeX XML Cite \textit{B. Ren} et al., Commun. Theor. Phys. 75, No. 8, Article ID 085006, 6 p. (2023; Zbl 07724084) Full Text: DOI
Yang, Yingmin; Xia, Tiecheng; Liu, Tongshuai Darboux transformation and exact solution to the nonlocal Kundu-Eckhaus equation. (English) Zbl 1514.35419 Appl. Math. Lett. 141, Article ID 108602, 7 p. (2023). MSC: 35Q55 35C08 37K35 35Q15 37K10 PDF BibTeX XML Cite \textit{Y. Yang} et al., Appl. Math. Lett. 141, Article ID 108602, 7 p. (2023; Zbl 1514.35419) Full Text: DOI
Igonin, S.; Konstantinou-Rizos, S. Local Yang-Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 1516.37076 J. Phys. A, Math. Theor. 56, No. 27, Article ID 275202, 18 p. (2023). MSC: 37J70 37K35 39A36 35Q55 16T25 PDF BibTeX XML Cite \textit{S. Igonin} and \textit{S. Konstantinou-Rizos}, J. Phys. A, Math. Theor. 56, No. 27, Article ID 275202, 18 p. (2023; Zbl 1516.37076) Full Text: DOI arXiv
Deng, Bo-Jie; Hao, Hui-Qin Breathers, rogue waves and semi-rational solutions for a generalized Heisenberg ferromagnet equation. (English) Zbl 07699051 Appl. Math. Lett. 140, Article ID 108550, 7 p. (2023). MSC: 35Q82 82D40 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{B.-J. Deng} and \textit{H.-Q. Hao}, Appl. Math. Lett. 140, Article ID 108550, 7 p. (2023; Zbl 07699051) Full Text: DOI
Xia, Baoqiang Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions. (English) Zbl 07695179 Physica D 450, Article ID 133769, 12 p. (2023). MSC: 37K10 37K35 35Q55 PDF BibTeX XML Cite \textit{B. Xia}, Physica D 450, Article ID 133769, 12 p. (2023; Zbl 07695179) Full Text: DOI
Sun, Ying-ying; Wu, Chen-chen; Zhao, Song-lin Applications of the Sylvester equation for the lattice BKP system. (English. Russian original) Zbl 1516.37087 Theor. Math. Phys. 214, No. 3, 354-368 (2023); translation from Teor. Mat. Fiz. 214, No. 3, 410-426 (2023). MSC: 37K10 37K30 37K60 PDF BibTeX XML Cite \textit{Y.-y. Sun} et al., Theor. Math. Phys. 214, No. 3, 354--368 (2023; Zbl 1516.37087); translation from Teor. Mat. Fiz. 214, No. 3, 410--426 (2023) Full Text: DOI
Wen, Lili; Fan, Engui; Chen, Yong The Sasa-Satsuma equation on a non-zero background: the inverse scattering transform and multi-soliton solutions. (English) Zbl 07682809 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1045-1080 (2023). MSC: 35Q58 35Q51 35Q15 PDF BibTeX XML Cite \textit{L. Wen} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1045--1080 (2023; Zbl 07682809) Full Text: DOI
Harrop-Griffiths, Benjamin; Killip, Rowan; Vişan, Monica Large-data equicontinuity for the derivative NLS. (English) Zbl 07672886 Int. Math. Res. Not. 2023, No. 6, 4601-4642 (2023). Reviewer: Nicolas Camps (Nantes) MSC: 35Q55 35Q41 35A01 35A02 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{B. Harrop-Griffiths} et al., Int. Math. Res. Not. 2023, No. 6, 4601--4642 (2023; Zbl 07672886) Full Text: DOI arXiv
Tela, Guesh Yfter; Zhao, Song-Lin; Zhang, Da-Jun On the fourth-order lattice Gel’fand-Dikii equations. (English) Zbl 1510.35276 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 007, 30 p. (2023). MSC: 35Q53 35C08 37K60 37K35 37K10 35G05 39A36 PDF BibTeX XML Cite \textit{G. Y. Tela} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 007, 30 p. (2023; Zbl 1510.35276) Full Text: DOI arXiv
Ma, Wen-Xiu A multi-component integrable hierarchy and its integrable reductions. (English) Zbl 07642368 Phys. Lett., A 457, Article ID 128575, 6 p. (2023). MSC: 37K10 37K30 35Q55 35Q53 17B80 PDF BibTeX XML Cite \textit{W.-X. Ma}, Phys. Lett., A 457, Article ID 128575, 6 p. (2023; Zbl 07642368) Full Text: DOI
Xu, Tao; He, Guoliang; Wang, Ming; Wang, Yanqing Mixed higher-order rogue waves and solitons for the coupled modified nonlinear Schrödinger equation. (English) Zbl 1509.35289 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 14, 22 p. (2023). MSC: 35Q55 35Q41 78A60 35C08 37K35 37K10 PDF BibTeX XML Cite \textit{T. Xu} et al., Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 14, 22 p. (2023; Zbl 1509.35289) Full Text: DOI
Guo, Zhenwei; Jiang, Tongsong; Vasil’ev, V. I.; Wang, Gang A novel algebraic approach for the Schrödinger equation in split quaternionic mechanics. (English) Zbl 07630031 Appl. Math. Lett. 137, Article ID 108485, 7 p. (2023). MSC: 81Q05 15A18 70H05 11R52 70H06 PDF BibTeX XML Cite \textit{Z. Guo} et al., Appl. Math. Lett. 137, Article ID 108485, 7 p. (2023; Zbl 07630031) Full Text: DOI
Khabibullin, Ismail Talgatovich; Khakimova, Aĭgul’ Rinatovna Algebraic reductions of discrete equations of Hirota-Miwa type. (Russian. English summary) Zbl 07736028 Ufim. Mat. Zh. 14, No. 4, 117-130 (2022); translation in Ufa Math. J. 14, No. 4, 113-126 (2022). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{I. T. Khabibullin} and \textit{A. R. Khakimova}, Ufim. Mat. Zh. 14, No. 4, 117--130 (2022; Zbl 07736028); translation in Ufa Math. J. 14, No. 4, 113--126 (2022) Full Text: DOI MNR
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele On Lax operators. (English) Zbl 07698629 Jpn. J. Math. (3) 17, No. 1, 63-116 (2022). MSC: 37K10 37K06 37K20 37K30 17B80 PDF BibTeX XML Cite \textit{A. De Sole} et al., Jpn. J. Math. (3) 17, No. 1, 63--116 (2022; Zbl 07698629) Full Text: DOI arXiv
Igonin, Sergei; Konstantinou-Rizos, Sotiris Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 07649150 J. Phys. A, Math. Theor. 55, No. 40, Article ID 405205, 29 p. (2022). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 39A36 37J70 37J37 37K10 16T25 15A24 PDF BibTeX XML Cite \textit{S. Igonin} and \textit{S. Konstantinou-Rizos}, J. Phys. A, Math. Theor. 55, No. 40, Article ID 405205, 29 p. (2022; Zbl 07649150) Full Text: DOI arXiv
Ivanov, Rossen I. NLS-type equations from quadratic pencil of Lax operators: negative flows. (English) Zbl 1504.35484 Chaos Solitons Fractals 161, Article ID 112299, 5 p. (2022). MSC: 35Q55 37K10 37K30 37K06 PDF BibTeX XML Cite \textit{R. I. Ivanov}, Chaos Solitons Fractals 161, Article ID 112299, 5 p. (2022; Zbl 1504.35484) Full Text: DOI arXiv
Xu, Xiaoxue; Cao, Cewen; Zhang, Da-jun Algebro-geometric solutions to the lattice potential modified Kadomtsev-Petviashvili equation. (English) Zbl 1511.37090 J. Phys. A, Math. Theor. 55, No. 37, Article ID 375201, 28 p. (2022). MSC: 37K60 37K10 37K20 37K35 39A36 PDF BibTeX XML Cite \textit{X. Xu} et al., J. Phys. A, Math. Theor. 55, No. 37, Article ID 375201, 28 p. (2022; Zbl 1511.37090) Full Text: DOI arXiv
Bi, Xiao; Li, Chuanzhong Hom-Lie algebras and a coupled Toda equation with indefinite matrices. (English) Zbl 1502.37061 J. Nonlinear Math. Phys. 29, No. 4, 896-904 (2022). MSC: 37J37 37J35 17B70 17B62 PDF BibTeX XML Cite \textit{X. Bi} and \textit{C. Li}, J. Nonlinear Math. Phys. 29, No. 4, 896--904 (2022; Zbl 1502.37061) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation. (English) Zbl 1504.35501 Physica D 442, Article ID 133528, 8 p. (2022). MSC: 35Q55 35B36 35P25 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{X.-B. Wang} and \textit{S.-F. Tian}, Physica D 442, Article ID 133528, 8 p. (2022; Zbl 1504.35501) Full Text: DOI
Zhou, Zixiang Darboux transformation and exact solutions for two dimensional \(A_{2n -1}^{(2)}\) Toda equations. (English) Zbl 1502.35142 Chin. Ann. Math., Ser. B 43, No. 5, 833-844 (2022). MSC: 35Q51 35Q53 37K10 37K35 17B67 PDF BibTeX XML Cite \textit{Z. Zhou}, Chin. Ann. Math., Ser. B 43, No. 5, 833--844 (2022; Zbl 1502.35142) Full Text: DOI
Dubrovin, Boris; Valeri, Daniele; Yang, Di Affine Kac-Moody algebras and tau-functions for the Drinfeld-Sokolov hierarchies: the matrix-resolvent method. (English) Zbl 1508.37088 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 077, 32 p. (2022). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K10 37K30 35Q51 17B80 17B67 PDF BibTeX XML Cite \textit{B. Dubrovin} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 077, 32 p. (2022; Zbl 1508.37088) Full Text: DOI arXiv
Wang, Xiu-Bin; Tian, Shou-Fu Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation. (English. Russian original) Zbl 1516.37110 Theor. Math. Phys. 212, No. 3, 1193-1210 (2022); translation from Teor. Mat. Fiz. 212, No. 3, 354-373 (2022). MSC: 37K35 37K10 35Q55 35C08 PDF BibTeX XML Cite \textit{X.-B. Wang} and \textit{S.-F. Tian}, Theor. Math. Phys. 212, No. 3, 1193--1210 (2022; Zbl 1516.37110); translation from Teor. Mat. Fiz. 212, No. 3, 354--373 (2022) Full Text: DOI
Novokshenov, V. Yu. Asymptotic solutions of the discrete Painlevé equation of second type. (English. Russian original) Zbl 1503.39012 Math. Notes 112, No. 4, 598-607 (2022); translation from Mat. Zametki 112, No. 4, 613-624 (2022). Reviewer: Mengkun Zhu (Jinan) MSC: 39A36 39A12 37J70 34M55 PDF BibTeX XML Cite \textit{V. Yu. Novokshenov}, Math. Notes 112, No. 4, 598--607 (2022; Zbl 1503.39012); translation from Mat. Zametki 112, No. 4, 613--624 (2022) Full Text: DOI
Zhang, Zhao; Yang, Xiangyu; Li, Biao; Wazwaz, Abdul-Majid; Guo, Qi Generation mechanism of high-order rogue waves via the improved long-wave limit method: NLS case. (English) Zbl 1511.35334 Phys. Lett., A 450, Article ID 128395, 7 p. (2022). MSC: 35Q55 35Q41 35A18 35C08 37K35 37K10 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Phys. Lett., A 450, Article ID 128395, 7 p. (2022; Zbl 1511.35334) Full Text: DOI
Ren, Guangzhen; Kang, Qianqian Reductions of anti-self-dual Yang-Mills equation over Heisenberg group. (English) Zbl 1513.70097 Appl. Anal. Optim. 6, No. 2, 259-267 (2022). MSC: 70S15 70H33 14D21 70H06 PDF BibTeX XML Cite \textit{G. Ren} and \textit{Q. Kang}, Appl. Anal. Optim. 6, No. 2, 259--267 (2022; Zbl 1513.70097) Full Text: Link
Carpentier, Sylvain; Mikhailov, Alexander V.; Wang, Jing Ping Quantisations of the Volterra hierarchy. (English) Zbl 1511.37071 Lett. Math. Phys. 112, No. 5, Paper No. 94, 38 p. (2022). Reviewer: Danilo Latini (Rome) MSC: 37J70 37K60 37J37 81R12 81Q80 81S08 81S10 53D50 53D55 17B80 PDF BibTeX XML Cite \textit{S. Carpentier} et al., Lett. Math. Phys. 112, No. 5, Paper No. 94, 38 p. (2022; Zbl 1511.37071) Full Text: DOI arXiv
Qiu, Deqin; Zhang, Yongshuai Classification of solutions of the generalized mixed nonlinear Schrödinger equation. (English. Russian original) Zbl 1516.37109 Theor. Math. Phys. 211, No. 3, 838-855 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 469-490 (2022). MSC: 37K35 37K10 37K40 35C08 35Q55 PDF BibTeX XML Cite \textit{D. Qiu} and \textit{Y. Zhang}, Theor. Math. Phys. 211, No. 3, 838--855 (2022; Zbl 1516.37109); translation from Teor. Mat. Fiz. 211, No. 3, 469--490 (2022) Full Text: DOI
Li, Nianhua; Qi, Huihui Multi-cuspon solutions of a generalized short pulse equation. (English) Zbl 07583604 Wave Motion 112, Article ID 102955, 8 p. (2022). MSC: 37K10 37K35 PDF BibTeX XML Cite \textit{N. Li} and \textit{H. Qi}, Wave Motion 112, Article ID 102955, 8 p. (2022; Zbl 07583604) Full Text: DOI
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan On the non-chiral intermediate long wave equation. (English) Zbl 1496.35308 Nonlinearity 35, No. 8, 4549-4584 (2022). MSC: 35Q35 35Q51 37K10 37K35 PDF BibTeX XML Cite \textit{B. K. Berntson} et al., Nonlinearity 35, No. 8, 4549--4584 (2022; Zbl 1496.35308) Full Text: DOI arXiv
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan On the non-chiral intermediate long wave equation. II: Periodic case. (English) Zbl 1496.35307 Nonlinearity 35, No. 8, 4517-4548 (2022). MSC: 35Q35 35Q51 37K10 37K35 PDF BibTeX XML Cite \textit{B. K. Berntson} et al., Nonlinearity 35, No. 8, 4517--4548 (2022; Zbl 1496.35307) Full Text: DOI arXiv
Rasin, Alexander G.; Schiff, Jeremy Four symmetries of the KdV equation. (English) Zbl 1492.35284 J. Nonlinear Sci. 32, No. 5, Paper No. 68, 23 p. (2022). MSC: 35Q53 37K10 37K35 17B80 70G65 PDF BibTeX XML Cite \textit{A. G. Rasin} and \textit{J. Schiff}, J. Nonlinear Sci. 32, No. 5, Paper No. 68, 23 p. (2022; Zbl 1492.35284) Full Text: DOI arXiv
Morozov, O. I. Integrability properties of the four-dimensional equation of universal hierarchy. (English. Russian original) Zbl 1505.37082 J. Math. Sci., New York 263, No. 3, 396-403 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 169, 48-55 (2019). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K10 37K30 35A30 35Q51 35B06 PDF BibTeX XML Cite \textit{O. I. Morozov}, J. Math. Sci., New York 263, No. 3, 396--403 (2022; Zbl 1505.37082); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 169, 48--55 (2019) Full Text: DOI
Bahouri, Hajer; Perelman, Galina Global well-posedness for the derivative nonlinear Schrödinger equation. (English) Zbl 1496.35350 Invent. Math. 229, No. 2, 639-688 (2022). MSC: 35Q55 37K10 37K15 37K35 35A01 35A02 PDF BibTeX XML Cite \textit{H. Bahouri} and \textit{G. Perelman}, Invent. Math. 229, No. 2, 639--688 (2022; Zbl 1496.35350) Full Text: DOI arXiv
Xu, Gui-qiong; Liu, Yin-ping; Cui, Wen-ying Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation. (English) Zbl 1492.35290 Appl. Math. Lett. 132, Article ID 108184, 8 p. (2022). MSC: 35Q53 35C08 37K35 37K10 PDF BibTeX XML Cite \textit{G.-q. Xu} et al., Appl. Math. Lett. 132, Article ID 108184, 8 p. (2022; Zbl 1492.35290) Full Text: DOI
Xia, Baoqiang A type I defect and new integrable boundary conditions for the coupled nonlinear Schrödinger equation. (English) Zbl 1498.37106 J. Nonlinear Sci. 32, No. 4, Paper No. 53, 33 p. (2022). MSC: 37K10 37K35 35Q55 PDF BibTeX XML Cite \textit{B. Xia}, J. Nonlinear Sci. 32, No. 4, Paper No. 53, 33 p. (2022; Zbl 1498.37106) Full Text: DOI arXiv
Shen, Yali; Yao, Ruoxia Novel particular solutions, breathers, and rogue waves for an integrable nonlocal derivative nonlinear Schrödinger equation. (English) Zbl 1490.35452 Adv. Math. Phys. 2022, Article ID 7670773, 9 p. (2022). MSC: 35Q55 35Q41 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{R. Yao}, Adv. Math. Phys. 2022, Article ID 7670773, 9 p. (2022; Zbl 1490.35452) Full Text: DOI
Xun, Weikang; Fan, Engui Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions. (English) Zbl 1493.35087 J. Differ. Equations 329, 89-130 (2022). MSC: 35Q51 35Q53 35Q55 35Q15 37K10 37K15 35C20 35B40 35C08 41A60 34M55 PDF BibTeX XML Cite \textit{W. Xun} and \textit{E. Fan}, J. Differ. Equations 329, 89--130 (2022; Zbl 1493.35087) Full Text: DOI arXiv
Ma, Li-Yuan; Shen, Shou-Feng; Zhu, Zuo-Nong From discrete nonlocal nonlinear Schrödinger equation to coupled discrete Heisenberg ferromagnet equation. (English) Zbl 1490.35434 Appl. Math. Lett. 130, Article ID 108002, 7 p. (2022). MSC: 35Q55 35Q41 37K10 37K35 39A12 81T13 82D40 PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Appl. Math. Lett. 130, Article ID 108002, 7 p. (2022; Zbl 1490.35434) Full Text: DOI arXiv
Li, Xinyue; Han, Guangfu; Zhao, Qiulan Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation. (English) Zbl 1491.35394 Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022). MSC: 35Q51 35Q55 37K10 37K35 35B35 35C08 41A58 78A60 PDF BibTeX XML Cite \textit{X. Li} et al., Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022; Zbl 1491.35394) Full Text: DOI
Killip, Rowan; Vişan, Monica Orbital stability of KdV multisolitons in \(H^{-1}\). (English) Zbl 1509.35264 Commun. Math. Phys. 389, No. 3, 1445-1473 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 37K10 37K35 35C08 PDF BibTeX XML Cite \textit{R. Killip} and \textit{M. Vişan}, Commun. Math. Phys. 389, No. 3, 1445--1473 (2022; Zbl 1509.35264) Full Text: DOI arXiv
Catalano Ferraioli, Diego; Castro Silva, Tarcísio; Tenenblat, Keti Isometric immersions and differential equations describing pseudospherical surfaces. (English) Zbl 1508.35117 J. Math. Anal. Appl. 511, No. 2, Article ID 126091, 7 p. (2022). MSC: 35Q53 37K10 37K35 53A05 58J72 PDF BibTeX XML Cite \textit{D. Catalano Ferraioli} et al., J. Math. Anal. Appl. 511, No. 2, Article ID 126091, 7 p. (2022; Zbl 1508.35117) Full Text: DOI arXiv
Broedel, Johannes; Kaderli, André Amplitude recursions with an extra marked point. (English) Zbl 07485063 Commun. Number Theory Phys. 16, No. 1, 75-158 (2022). MSC: 81T30 37K10 74K05 74J20 11F72 PDF BibTeX XML Cite \textit{J. Broedel} and \textit{A. Kaderli}, Commun. Number Theory Phys. 16, No. 1, 75--158 (2022; Zbl 07485063) Full Text: DOI arXiv
Sun, Ying-ying; Sun, Wan-yi An update of a Bäcklund transformation and its applications to the Boussinesq system. (English) Zbl 1510.37110 Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022). MSC: 37K35 37K10 35Q53 35A22 35C08 PDF BibTeX XML Cite \textit{Y.-y. Sun} and \textit{W.-y. Sun}, Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022; Zbl 1510.37110) Full Text: DOI
Yu, Zong-Bing; Zhu, Chenghao; Zhao, Jian-Shi; Zou, Li Inverse scattering transform of the general three-component nonlinear Schrödinger equation and its multisoliton solutions. (English) Zbl 1490.35462 Appl. Math. Lett. 128, Article ID 107874, 7 p. (2022). MSC: 35Q55 35Q15 35C08 37K15 37K10 15A18 81Q05 PDF BibTeX XML Cite \textit{Z.-B. Yu} et al., Appl. Math. Lett. 128, Article ID 107874, 7 p. (2022; Zbl 1490.35462) Full Text: DOI
Ma, Li-Yuan; Zhang, Yan-Li; Zhao, Hai-Qiong; Zhu, Zuo-Nong Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit. (English) Zbl 1509.35283 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022). MSC: 35Q55 35Q40 35Q51 35C08 37K10 37K35 37J70 39A36 82D40 PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022; Zbl 1509.35283) Full Text: DOI
Krichever, Igor; Nekrasov, Nikita Novikov-Veselov symmetries of the two-dimensional \(O(N)\) sigma model. (English) Zbl 1479.14040 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 006, 37 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 17B80 35J10 37K10 37K20 37K30 81R12 PDF BibTeX XML Cite \textit{I. Krichever} and \textit{N. Nekrasov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 006, 37 p. (2022; Zbl 1479.14040) Full Text: DOI arXiv
Liu, Hsiao-Fan Periodic Cauchy problem of Heisenberg ferromagnet and its geometric framework. (English) Zbl 1478.82012 J. Fixed Point Theory Appl. 24, No. 1, Paper No. 16, 19 p. (2022). MSC: 82D40 35Q55 53A04 37K10 37K35 PDF BibTeX XML Cite \textit{H.-F. Liu}, J. Fixed Point Theory Appl. 24, No. 1, Paper No. 16, 19 p. (2022; Zbl 1478.82012) Full Text: DOI
Lv, Cong; Liu, Q. P. Solving the modified complex short pulse equation of focusing type: a Riemann-Hilbert approach. (English) Zbl 1510.35256 Anal. Math. Phys. 12, No. 1, Paper No. 27, 18 p. (2022). Reviewer: Solomon Manukure (Tallahassee) MSC: 35Q51 35Q15 37K10 37K15 37K35 35C08 PDF BibTeX XML Cite \textit{C. Lv} and \textit{Q. P. Liu}, Anal. Math. Phys. 12, No. 1, Paper No. 27, 18 p. (2022; Zbl 1510.35256) Full Text: DOI
Wu, Huiling; Chen, Qiaoyun; Song, Junfeng Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 1486.35367 Appl. Math. Lett. 124, Article ID 107640, 7 p. (2022). Reviewer: Iroda Baltaeva (Urganch) MSC: 35Q53 37K35 37K10 35C08 33E17 PDF BibTeX XML Cite \textit{H. Wu} et al., Appl. Math. Lett. 124, Article ID 107640, 7 p. (2022; Zbl 1486.35367) Full Text: DOI
Zhang, Yujuan; Ma, Ruyun; Xiong, Na; Feng, Bao-Feng Integrable semi-discretization of a modified short wave equation. (English) Zbl 1485.37067 Appl. Math. Lett. 125, Article ID 107739, 8 p. (2022). MSC: 37K60 37K10 37K35 37K40 39A36 39A14 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Appl. Math. Lett. 125, Article ID 107739, 8 p. (2022; Zbl 1485.37067) Full Text: DOI
Li, Jinlu; Yu, Yanghai; Zhu, Weipeng Ill-posedness for the Camassa-Holm and related equations in Besov spaces. (English) Zbl 1477.35170 J. Differ. Equations 306, 403-417 (2022). MSC: 35Q35 35Q53 76B15 37K10 46E35 35R25 PDF BibTeX XML Cite \textit{J. Li} et al., J. Differ. Equations 306, 403--417 (2022; Zbl 1477.35170) Full Text: DOI arXiv
Lü, Xing; Chen, Si-Jia Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types. (English) Zbl 1516.35175 Nonlinear Dyn. 103, No. 1, 947-977 (2021). MSC: 35C08 35Q51 35A25 37K10 PDF BibTeX XML Cite \textit{X. Lü} and \textit{S.-J. Chen}, Nonlinear Dyn. 103, No. 1, 947--977 (2021; Zbl 1516.35175) Full Text: DOI
Neshchadim, M. V. Bäcklund transformations for the one-dimensional Schrödinger equation. (Russian. English summary) Zbl 1511.35303 Sib. Zh. Ind. Mat. 24, No. 2, 116-125 (2021); translation in J. Appl. Ind. Math. 15, No. 2, 307-314 (2021). MSC: 35Q41 37K35 37K10 81Q05 PDF BibTeX XML Cite \textit{M. V. Neshchadim}, Sib. Zh. Ind. Mat. 24, No. 2, 116--125 (2021; Zbl 1511.35303); translation in J. Appl. Ind. Math. 15, No. 2, 307--314 (2021) Full Text: DOI MNR
Nimiwal, Raghavendra; Satpathi, Urbashi; Vasan, Vishal; Kulkarni, Manas Soliton-like behaviour in non-integrable systems. (English) Zbl 07654537 J. Phys. A, Math. Theor. 54, No. 42, Article ID 425701, 22 p. (2021). MSC: 35Q55 37K10 35Q51 35C08 81Q05 PDF BibTeX XML Cite \textit{R. Nimiwal} et al., J. Phys. A, Math. Theor. 54, No. 42, Article ID 425701, 22 p. (2021; Zbl 07654537) Full Text: DOI arXiv
Krajenbrink, Alexandre From Painlevé to Zakharov-Shabat and beyond: Fredholm determinants and integro-differential hierarchies. (English) Zbl 07648037 J. Phys. A, Math. Theor. 54, No. 3, Article ID 035001, 51 p. (2021). MSC: 37K10 34M55 37J65 PDF BibTeX XML Cite \textit{A. Krajenbrink}, J. Phys. A, Math. Theor. 54, No. 3, Article ID 035001, 51 p. (2021; Zbl 07648037) Full Text: DOI arXiv
Oliveira, R. R. S.; Filho, A. A. Araújo; Maluf, R. V.; Almeida, C. A. S. Reply to: “Comment on: “The relativistic Aharonov-Bohm-Coulomb system with position-dependent mass””. (English) Zbl 07648034 J. Phys. A, Math. Theor. 54, No. 2, Article ID 028002, 2 p. (2021). MSC: 81Q80 81Q05 35Q40 37K10 PDF BibTeX XML Cite \textit{R. R. S. Oliveira} et al., J. Phys. A, Math. Theor. 54, No. 2, Article ID 028002, 2 p. (2021; Zbl 07648034) Full Text: DOI arXiv
Mendrot, V. B.; de Castro, A. S. Comment on: “The relativistic Aharonov-Bohm-Coulomb system with position-dependent mass”. (English) Zbl 07648033 J. Phys. A, Math. Theor. 54, No. 2, Article ID 028001, 2 p. (2021). MSC: 81Q80 81Q05 35Q40 37K10 PDF BibTeX XML Cite \textit{V. B. Mendrot} and \textit{A. S. de Castro}, J. Phys. A, Math. Theor. 54, No. 2, Article ID 028001, 2 p. (2021; Zbl 07648033) Full Text: DOI
Qu, Changzheng; Wu, Zhiwei Geometric curve flows and integrable systems. (English) Zbl 1513.37042 Adv. Math., Beijing 50, No. 5, 641-665 (2021). MSC: 37K25 35Q51 37K10 37K35 PDF BibTeX XML Cite \textit{C. Qu} and \textit{Z. Wu}, Adv. Math., Beijing 50, No. 5, 641--665 (2021; Zbl 1513.37042) Full Text: DOI
Qin, Yanan \(N\)-fold Darboux transformation of a six-field integrable lattice system. (English) Zbl 1490.82033 Int. J. Mod. Phys. B 35, No. 24, Article ID 2150248, 10 p. (2021). MSC: 82D80 82D25 37K10 37K35 70S15 18D65 PDF BibTeX XML Cite \textit{Y. Qin}, Int. J. Mod. Phys. B 35, No. 24, Article ID 2150248, 10 p. (2021; Zbl 1490.82033) Full Text: DOI
Han, Rong; Sun, Haichao; Jiang, Nana; Yan, Zhaowen On the higher-order inhomogeneous Heisenberg supermagnetic models. (English) Zbl 1482.37067 J. Nonlinear Math. Phys. 28, No. 4, 345-362 (2021). MSC: 37K10 37K35 35Q55 35Q53 82D40 17B80 PDF BibTeX XML Cite \textit{R. Han} et al., J. Nonlinear Math. Phys. 28, No. 4, 345--362 (2021; Zbl 1482.37067) Full Text: DOI
Demskoi, Dmitry K. The lattice sine-Gordon equation as a superposition formula for an NLS-type system. (English) Zbl 1483.35176 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 108, 10 p. (2021). MSC: 35Q51 35Q55 37K60 37K10 35C08 37K35 PDF BibTeX XML Cite \textit{D. K. Demskoi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 108, 10 p. (2021; Zbl 1483.35176) Full Text: DOI arXiv
Suzuki, Takao A Lax formulation of a generalized \(q\)-Garnier system. (English) Zbl 1511.37072 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 38, 12 p. (2021). MSC: 37J70 37J65 17B80 14E05 39A36 39A13 34M55 PDF BibTeX XML Cite \textit{T. Suzuki}, Math. Phys. Anal. Geom. 24, No. 4, Paper No. 38, 12 p. (2021; Zbl 1511.37072) Full Text: DOI arXiv
Lou, Yu; Zhang, Yi; Ye, Rusuo Rogue waves on the general periodic traveling wave background for an extended modified Korteweg-de Vries equation. (English) Zbl 1479.35723 Math. Methods Appl. Sci. 44, No. 17, 13711-13722 (2021). MSC: 35Q51 35Q53 35C07 35C08 35B10 37K10 37K35 33E05 PDF BibTeX XML Cite \textit{Y. Lou} et al., Math. Methods Appl. Sci. 44, No. 17, 13711--13722 (2021; Zbl 1479.35723) Full Text: DOI
Geng, Xianguo; Li, Yihao; Wei, Jiao; Zhai, Yunyun Darboux transformation of a two-component generalized Sasa-Satsuma equation and explicit solutions. (English) Zbl 1479.35718 Math. Methods Appl. Sci. 44, No. 17, 12727-12745 (2021). MSC: 35Q51 35Q53 35C08 35C07 37K10 37K35 35L65 PDF BibTeX XML Cite \textit{X. Geng} et al., Math. Methods Appl. Sci. 44, No. 17, 12727--12745 (2021; Zbl 1479.35718) Full Text: DOI
An, Ling; Li, Chuanzhong On the multicomponent weakly interacted generalized \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1484.37078 Math. Methods Appl. Sci. 44, No. 18, 14411-14427 (2021). MSC: 37K35 37K10 37K40 35Q51 PDF BibTeX XML Cite \textit{L. An} and \textit{C. Li}, Math. Methods Appl. Sci. 44, No. 18, 14411--14427 (2021; Zbl 1484.37078) Full Text: DOI
Lü, Xing; Chen, Si-Jia; Liu, Guo-Zhu; Ma, Wen-Xiu Study on lump behavior for a new (3+1)-dimensional generalised Kadomtsev-Petviashvili equation. (English) Zbl 1479.35031 East Asian J. Appl. Math. 11, No. 3, 594-603 (2021). MSC: 35A25 35G25 35Q35 35Q53 37K10 PDF BibTeX XML Cite \textit{X. Lü} et al., East Asian J. Appl. Math. 11, No. 3, 594--603 (2021; Zbl 1479.35031) Full Text: DOI
Lin, Zhe; Wen, Xiao-Yong; Qin, Meng-Li Various soliton solutions and asymptotic state analysis for the discrete modified Korteweg-de Vries equation. (English) Zbl 1479.35741 Adv. Math. Phys. 2021, Article ID 3445894, 22 p. (2021). MSC: 35Q53 35Q51 35C08 35B40 37K10 37K35 82D10 78A60 PDF BibTeX XML Cite \textit{Z. Lin} et al., Adv. Math. Phys. 2021, Article ID 3445894, 22 p. (2021; Zbl 1479.35741) Full Text: DOI
Cho, Aye Aye; Mesfun, Maebel; Zhang, Da-Jun A revisit to the ABS H2 equation. (English) Zbl 1477.35216 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 093, 19 p. (2021). MSC: 35Q53 37K60 37K10 37K35 PDF BibTeX XML Cite \textit{A. A. Cho} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 093, 19 p. (2021; Zbl 1477.35216) Full Text: DOI arXiv
Lü, Xing; Chen, Si-Jia New general interaction solutions to the KPI equation via an optional decoupling condition approach. (English) Zbl 1478.35083 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105939, 10 p. (2021). MSC: 35C08 35A25 37K10 PDF BibTeX XML Cite \textit{X. Lü} and \textit{S.-J. Chen}, Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105939, 10 p. (2021; Zbl 1478.35083) Full Text: DOI
Yin, Yue; Fu, Wei Linear integral equations and two-dimensional Toda systems. (English) Zbl 1482.37071 Stud. Appl. Math. 147, No. 3, 1146-1193 (2021). MSC: 37K30 37K10 45A05 PDF BibTeX XML Cite \textit{Y. Yin} and \textit{W. Fu}, Stud. Appl. Math. 147, No. 3, 1146--1193 (2021; Zbl 1482.37071) Full Text: DOI arXiv
Ma, Li-Yuan; Zhang, Yan-Li; Tang, Li; Shen, Shou-Feng New rational and breather solutions of a higher-order integrable nonlinear Schrödinger equation. (English) Zbl 1479.35811 Appl. Math. Lett. 122, Article ID 107539, 6 p. (2021). MSC: 35Q55 35Q41 35C08 35C07 37K10 37K35 35G20 PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Appl. Math. Lett. 122, Article ID 107539, 6 p. (2021; Zbl 1479.35811) Full Text: DOI
Wang, Ming; Zhou, Deqin Exponential decay for the linear KdV with a rough localized damping. (English) Zbl 1478.35186 Appl. Math. Lett. 120, Article ID 107264, 6 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37K10 42A38 PDF BibTeX XML Cite \textit{M. Wang} and \textit{D. Zhou}, Appl. Math. Lett. 120, Article ID 107264, 6 p. (2021; Zbl 1478.35186) Full Text: DOI
Millionshchikov, Dmitriĭ Vladimirovich; Smirnov, Sergeĭ Valer’evich Characteristic algebras and integrable exponential systems. (Russian. English translation) Zbl 1488.37053 Ufim. Mat. Zh. 13, No. 2, 44-73 (2021); translation in Ufa Math. J. 13, No. 2, 41-69 (2021). MSC: 37K10 37K30 17B80 PDF BibTeX XML Cite \textit{D. V. Millionshchikov} and \textit{S. V. Smirnov}, Ufim. Mat. Zh. 13, No. 2, 44--73 (2021; Zbl 1488.37053); translation in Ufa Math. J. 13, No. 2, 41--69 (2021) Full Text: DOI MNR
Zhang, Mengxia; Feng, Bao-Feng; Liu, Jiawen Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation. (English) Zbl 1479.37075 Phys. Lett., A 385, Article ID 126966, 13 p. (2021). MSC: 37K10 37K35 37K06 PDF BibTeX XML Cite \textit{M. Zhang} et al., Phys. Lett., A 385, Article ID 126966, 13 p. (2021; Zbl 1479.37075) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng Three kinds of nonisospectral integrable model of Wadati-Konno-Ichikawa soliton hierarchies. (English) Zbl 1479.37074 Rocky Mt. J. Math. 51, No. 4, 1489-1502 (2021). MSC: 37K10 37K30 17B80 35Q53 35Q51 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Zhang}, Rocky Mt. J. Math. 51, No. 4, 1489--1502 (2021; Zbl 1479.37074)
Du, Dianlou; Liu, Yuanyuan; Wang, Xue Integrable symplectic maps via reduction of Bäcklund transformation. (English. Russian original) Zbl 1477.37063 Theor. Math. Phys. 208, No. 1, 886-895 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 39-50 (2021). MSC: 37J11 37J35 37K10 37K35 35Q53 PDF BibTeX XML Cite \textit{D. Du} et al., Theor. Math. Phys. 208, No. 1, 886--895 (2021; Zbl 1477.37063); translation from Teor. Mat. Fiz. 208, No. 1, 39--50 (2021) Full Text: DOI
Gudnason, Sven Bjarke; Ross, Calum Magnetic impurities, integrable vortices and the Toda equation. (English) Zbl 1477.37073 Lett. Math. Phys. 111, No. 4, Paper No. 100, 20 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K25 81T13 53Z05 58Z05 PDF BibTeX XML Cite \textit{S. B. Gudnason} and \textit{C. Ross}, Lett. Math. Phys. 111, No. 4, Paper No. 100, 20 p. (2021; Zbl 1477.37073) Full Text: DOI arXiv
Zhao, Hai-qiong; Zhou, Tong Spatially discrete Boussinesq equation: integrability, Darboux transformation, exact solutions and continuum limit. (English) Zbl 1476.37087 Nonlinearity 34, No. 9, 6450-6472 (2021). MSC: 37K60 37K35 37K10 39A14 39A36 PDF BibTeX XML Cite \textit{H.-q. Zhao} and \textit{T. Zhou}, Nonlinearity 34, No. 9, 6450--6472 (2021; Zbl 1476.37087) Full Text: DOI
McLaughlin, Kenneth T.-R.; Nabelek, Patrik V. A Riemann-Hilbert problem approach to infinite gap Hill’s operators and the Korteweg-de Vries equation. (English) Zbl 1483.35145 Int. Math. Res. Not. 2021, No. 2, 1288-1352 (2021); corrigendum ibid. 2021, No. 23, 18410 (2021). Reviewer: Deniz Bilman (Cincinnati) MSC: 35Q15 35Q53 35Q55 35A02 35P99 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{K. T. R. McLaughlin} and \textit{P. V. Nabelek}, Int. Math. Res. Not. 2021, No. 2, 1288--1352 (2021; Zbl 1483.35145) Full Text: DOI arXiv
Kels, Andrew P.; Yamazaki, Masahito Lens generalisation of \(\tau\)-functions for the elliptic discrete Painlevé equation. (English) Zbl 1480.37076 Int. Math. Res. Not. 2021, No. 1, 110-151 (2021). Reviewer: Mengkun Zhu (Jinan) MSC: 37J70 37J65 37J37 39A36 11F27 33C80 33E05 34M55 PDF BibTeX XML Cite \textit{A. P. Kels} and \textit{M. Yamazaki}, Int. Math. Res. Not. 2021, No. 1, 110--151 (2021; Zbl 1480.37076) Full Text: DOI arXiv
Zhang, Ning; Xu, Xi-Xiang Notes on “Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system”. (English) Zbl 1465.37076 Int. J. Mod. Phys. B 35, No. 12, Article ID 2150141, 7 p. (2021). MSC: 37K10 37K06 37K35 PDF BibTeX XML Cite \textit{N. Zhang} and \textit{X.-X. Xu}, Int. J. Mod. Phys. B 35, No. 12, Article ID 2150141, 7 p. (2021; Zbl 1465.37076) Full Text: DOI
Luo, Jinghua; Fan, Engui A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation. (English) Zbl 1473.35511 J. Geom. Phys. 167, Article ID 104291, 10 p. (2021). MSC: 35Q55 35C08 30E25 37K10 37K35 PDF BibTeX XML Cite \textit{J. Luo} and \textit{E. Fan}, J. Geom. Phys. 167, Article ID 104291, 10 p. (2021; Zbl 1473.35511) Full Text: DOI
Gerdjikov, V. S.; Mladenov, D. M.; Stefanov, A. A.; Varbev, S. K. The mKdV-type equations related to \(A_5^{(1)}\) and \(A_5^{(2)}\) Kac-Moody algebras. (English. Russian original) Zbl 1510.37104 Theor. Math. Phys. 207, No. 2, 604-625 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 237-260 (2021). MSC: 37K10 37K30 35Q53 17B67 17B80 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 207, No. 2, 604--625 (2021; Zbl 1510.37104); translation from Teor. Mat. Fiz. 207, No. 2, 237--260 (2021) Full Text: DOI
Mao, Hui Novikov equation: Bäcklund transformation and applications. (English. Russian original) Zbl 1473.37089 Theor. Math. Phys. 206, No. 2, 163-173 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 186-198 (2021). MSC: 37K35 37K10 PDF BibTeX XML Cite \textit{H. Mao}, Theor. Math. Phys. 206, No. 2, 163--173 (2021; Zbl 1473.37089); translation from Teor. Mat. Fiz. 206, No. 2, 186--198 (2021) Full Text: DOI
Zhao, Zhonglong; He, Lingchao Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a \((2+1)\)-dimensional KdV-mKdV equation. (English. Russian original) Zbl 1467.35297 Theor. Math. Phys. 206, No. 2, 142-162 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 164-185 (2021). MSC: 35Q53 37K10 37K35 35C08 17B80 PDF BibTeX XML Cite \textit{Z. Zhao} and \textit{L. He}, Theor. Math. Phys. 206, No. 2, 142--162 (2021; Zbl 1467.35297); translation from Teor. Mat. Fiz. 206, No. 2, 164--185 (2021) Full Text: DOI
Han, Peng-Fei; Bao, Taogetusang Integrability aspects and some abundant solutions for a new \((4 + 1)\)-dimensional KdV-like equation. (English) Zbl 1462.35334 Int. J. Mod. Phys. B 35, No. 6, Article ID 2150079, 26 p. (2021). MSC: 35Q53 37K10 37K35 PDF BibTeX XML Cite \textit{P.-F. Han} and \textit{T. Bao}, Int. J. Mod. Phys. B 35, No. 6, Article ID 2150079, 26 p. (2021; Zbl 1462.35334) Full Text: DOI
Shestakov, Ivan P.; Sokolov, Vladimir V. Multi-component generalizations of mKdV equation and nonassociative algebraic structures. (English) Zbl 1468.17040 J. Algebra Appl. 20, No. 4, Article ID 2150050, 24 p. (2021). MSC: 17B80 17C50 35Q53 37K10 PDF BibTeX XML Cite \textit{I. P. Shestakov} and \textit{V. V. Sokolov}, J. Algebra Appl. 20, No. 4, Article ID 2150050, 24 p. (2021; Zbl 1468.17040) Full Text: DOI arXiv
Gassot, Louise The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability. (English) Zbl 1467.37061 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 815-840 (2021). Reviewer: Vladimir Răsvan (Craiova) MSC: 37K10 37E30 37K35 35Q53 35C07 PDF BibTeX XML Cite \textit{L. Gassot}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 815--840 (2021; Zbl 1467.37061) Full Text: DOI arXiv
Zhang, Guofei; He, Jingsong; Wang, Lihong; Mihalache, Dumitru Surfaces of revolution associated with the kink-type solutions of the SIdV equation. (English) Zbl 1460.35314 Differ. Geom. Appl. 74, Article ID 101711, 11 p. (2021). MSC: 35Q53 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{G. Zhang} et al., Differ. Geom. Appl. 74, Article ID 101711, 11 p. (2021; Zbl 1460.35314) Full Text: DOI
Gerdjikov, Vladimir S.; Ivanov, Rossen I. Multicomponent Fokas-Lenells equations on Hermitian symmetric spaces. (English) Zbl 1461.37071 Nonlinearity 34, No. 2, 939-963 (2021). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K10 37K30 37K25 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} and \textit{R. I. Ivanov}, Nonlinearity 34, No. 2, 939--963 (2021; Zbl 1461.37071) Full Text: DOI arXiv
Branquinho, Amílcar; Foulquié Moreno, Ana; Mañas, Manuel Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective. (English) Zbl 1458.37073 J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 37K20 37K60 39A36 37J70 37J65 33C47 33E17 34M55 34M50 15A16 PDF BibTeX XML Cite \textit{A. Branquinho} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021; Zbl 1458.37073) Full Text: DOI arXiv
Chen, Li; Lee, Jinyeop; Liew, Matthew Combined mean-field and semiclassical limits of large fermionic systems. (English) Zbl 1457.81132 J. Stat. Phys. 182, No. 2, Paper No. 24, 42 p. (2021). MSC: 81V74 81Q20 81Q05 37K10 35Q40 81P16 35Q83 81R30 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Stat. Phys. 182, No. 2, Paper No. 24, 42 p. (2021; Zbl 1457.81132) Full Text: DOI arXiv
Chen, Si-Jia; Lü, Xing; Tang, Xian-Feng Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients. (English) Zbl 1456.35072 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105628, 12 p. (2021). MSC: 35C08 35K58 35A25 37K10 PDF BibTeX XML Cite \textit{S.-J. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105628, 12 p. (2021; Zbl 1456.35072) Full Text: DOI
Yang, Yunqing; Suzuki, Takashi; Wang, Jianyong Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation. (English) Zbl 1458.35394 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105626, 12 p. (2021). MSC: 35Q55 35Q41 37K35 37K10 35C08 PDF BibTeX XML Cite \textit{Y. Yang} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105626, 12 p. (2021; Zbl 1458.35394) Full Text: DOI
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng Painlevé test, complete symmetry classifications and exact solutions to R-D types of equations. (English) Zbl 1456.37083 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105547, 12 p. (2021). MSC: 37L20 37K35 37K10 35K57 PDF BibTeX XML Cite \textit{H. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105547, 12 p. (2021; Zbl 1456.37083) Full Text: DOI
Hui, Hongwen; Zhou, Chengcheng; Lü, Xing; Li, Jiarong Spread mechanism and control strategy of social network rumors under the influence of COVID-19. (English) Zbl 1517.91176 Nonlinear Dyn. 101, No. 3, 1933-1949 (2020). MSC: 91D30 35A25 37K10 PDF BibTeX XML Cite \textit{H. Hui} et al., Nonlinear Dyn. 101, No. 3, 1933--1949 (2020; Zbl 1517.91176) Full Text: DOI
Cen, Julia; Correa, Francisco; Fring, Andreas Nonlocal gauge equivalence: Hirota versus extended continuous Heisenberg and Landau-Lifschitz equation. (English) Zbl 1514.35376 J. Phys. A, Math. Theor. 53, No. 19, Article ID 195201, 22 p. (2020). MSC: 35Q51 37K10 37K35 PDF BibTeX XML Cite \textit{J. Cen} et al., J. Phys. A, Math. Theor. 53, No. 19, Article ID 195201, 22 p. (2020; Zbl 1514.35376) Full Text: DOI arXiv
Li, Hongmin Constraint and nonlinearization of supersymmetric equations with some special forms of Lax pairs. (English) Zbl 1479.35739 Adv. Math. Phys. 2020, Article ID 4928673, 7 p. (2020). MSC: 35Q53 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{H. Li}, Adv. Math. Phys. 2020, Article ID 4928673, 7 p. (2020; Zbl 1479.35739) Full Text: DOI
Popovych, Roman O.; Sakhnovich, Alexander L. GBDT version of the Darboux transformation for the matrix coupled dispersionless equations (local and non-local cases). (English) Zbl 1481.37086 J. Integrable Syst. 5, Article ID xyaa004, 24 p. (2020). MSC: 37K35 37K10 37K40 PDF BibTeX XML Cite \textit{R. O. Popovych} and \textit{A. L. Sakhnovich}, J. Integrable Syst. 5, Article ID xyaa004, 24 p. (2020; Zbl 1481.37086) Full Text: DOI
Hanif, Y.; Saleem, U. Darboux transformation and multi-soliton solutions of the discrete sine-Gordon equation. (English) Zbl 1481.39016 PTEP, Prog. Theor. Exper. Phys. 2020, No. 6, Article ID 063A01, 16 p. (2020). MSC: 39A36 37K35 37K10 37K60 35Q51 PDF BibTeX XML Cite \textit{Y. Hanif} and \textit{U. Saleem}, PTEP, Prog. Theor. Exper. Phys. 2020, No. 6, Article ID 063A01, 16 p. (2020; Zbl 1481.39016) Full Text: DOI arXiv