Loutsenko, Igor; Yermolayeva, Oksana Equilibrium of charges and differential equations solved by polynomials. II. (English) Zbl 07982504 J. Phys. A, Math. Theor. 58, No. 4, Article ID 045206, 14 p. (2025). MSC: 34-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Engui; Li, Gaozhan; Yang, Yiling On \(L^2\)-orbital stability of Hasimoto soliton solutions for the Hirota equation on the line. (English) Zbl 07975157 J. Differ. Equations 421, 104-126 (2025). MSC: 35Q51 35Q55 37K10 37K45 × Cite Format Result Cite Review PDF Full Text: DOI
Startsev, S. Ya Darboux integrability of hyperbolic partial differential equations: is it a property of integrals rather than equations? (English) Zbl 07974053 J. Phys. A, Math. Theor. 58, No. 2, Article ID 025206, 19 p. (2025). MSC: 37-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chengwei; Chen, Mengyao; Cheng, Jipeng Toda Darboux transformations and vacuum expectation values. (English) Zbl 07972438 J. Geom. Phys. 209, Article ID 105399, 14 p. (2025). MSC: 35Q53 37K10 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meléndez, Josué; Rodríguez-Romero, Eduardo A note on surfaces with constant angle intersection in Riemannian manifolds. (English) Zbl 07969369 Bol. Soc. Mat. Mex., III. Ser. 31, No. 1, Paper No. 24, 14 p. (2025). MSC: 53C40 53C42 × Cite Format Result Cite Review PDF Full Text: DOI
Pal, Debjit; Poddar, Mainak Generalized complex structure on certain principal torus bundles. (English) Zbl 07963309 Ann. Global Anal. Geom. 67, No. 1, Paper No. 2, 24 p. (2025). MSC: 53D18 57R22 57R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Shuzhi; Qiu, Deqin The exploding solitons of the sine-Gordon equation. (English) Zbl 07961454 Appl. Math. Lett. 160, Article ID 109314, 7 p. (2025). MSC: 35Q60 35Q53 78A60 35C08 68W30 37K10 37K35 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Su-Su Multi-geometric discrete spectral problem with several pairs of zeros for Sasa-Satsuma equation. (English) Zbl 07961447 Appl. Math. Lett. 160, Article ID 109307, 6 p. (2025). MSC: 35Q55 35Q41 35Q15 35C08 37K10 37K15 37K35 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shen; Guan, Wenchuang; Cheng, Jipeng Tau functions of modified CKP hierarchy. (English) Zbl 07960191 J. Geom. Phys. 207, Article ID 105367, 8 p. (2025). MSC: 35Q53 37K10 37K35 81V73 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ruomeng; Geng, Jingru; Geng, Xianguo Breather and rogue-wave solutions of the semi-discrete and continuous nonlinear Schrödinger equations on theta-function backgrounds. (English) Zbl 07959772 Nonlinearity 38, No. 1, Article ID 015012, 29 p. (2025). MSC: 35Q55 35Q41 35C08 35C05 14H42 14H70 37J70 37K60 37K35 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shen; Guan, Wenchuang; Cheng, Jipeng Bosonic construction of CKP tau function. (English) Zbl 07959769 Nonlinearity 38, No. 1, Article ID 015009, 32 p. (2025). MSC: 35Q51 35Q53 35C08 37K10 37K35 37K30 81V73 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Horozov, Emil; Shapiro, Boris; Tater, Miloš In search of a higher Bochner theorem. (English) Zbl 07957100 J. Approx. Theory 305, Article ID 106114, 23 p. (2025). Reviewer: Vladimir P. Kostov (Nice) MSC: 34L20 30C15 33E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Habibullin, Ismagil T.; Khakimova, Aigul R. Higher symmetries of lattices in 3D. (English) Zbl 07983743 Regul. Chaotic Dyn. 29, No. 6, 853-865 (2024). MSC: 35Q51 39A14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghorbal, Khalil; Bridoux, Maxime Automated reasoning for the existence of Darboux polynomials. (English) Zbl 07978495 Hauenstein, Jonathan (ed.) et al., Proceedings of the 49th international symposium on symbolic and algebraic computation, ISSAC, Raleigh, NC, USA, July 16–19, 2024. New York, NY: Association for Computing Machinery (ACM). 324-333 (2024). MSC: 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Gui Xian; Wang, Xiu Bin; Han, Bo On the inverse scattering transform to the discrete Hirota equation with nonzero boundary conditions. (Chinese. English summary) Zbl 07974352 Acta Math. Sin., Chin. Ser. 67, No. 6, 1049-1076 (2024). MSC: 35C08 35Q15 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shan, Jiaqing; Li, Maohua The dynamic of the positons for the reverse space-time nonlocal short pulse equation. (English) Zbl 07973235 Physica D 470, Part B, Article ID 134419, 20 p. (2024). MSC: 35Q60 35Q51 78A60 35C08 35P15 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Guang-Hao; Fan, Fang-Cheng A mixed integrable lattice hierarchy associated with the relativistic Toda lattice: conservation laws, \(N\)-fold Darboux transformation and soliton solutions. (English) Zbl 07968445 Rep. Math. Phys. 94, No. 3, 279-304 (2024). MSC: 37-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI
Helminck, G. F.; Poberezhny, V. A.; Polenkova, S. V. Darboux transformations for the discrete versions of the KP and strict KP hierarchies. (English. Russian original) Zbl 07967527 Theor. Math. Phys. 221, No. 3, 2031-2048 (2024); translation from Teor. Mat. Fiz. 221, No. 3, 503-522 (2024). MSC: 37K60 37K35 39A36 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Huanhuan; Ren, Xinan; Zhang, Yufeng; Zhang, Hongyi Generalized isospectral-nonisospectral modified Korteweg-de Vries integrable hierarchies and related properties. (English) Zbl 07966581 Ann. Appl. Math. 40, No. 2, 105-138 (2024). MSC: 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Riaz, H. W. A.; Lin, J.; Wang, J. On an extended semi-discrete matrix coupled dispersionless system: Darboux transformation and explicit solutions. (English) Zbl 07964199 Phys. Lett., A 528, Article ID 130060, 9 p. (2024). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
van der Kamp, Peter H.; Quispel, G. R. W.; McLaren, David I. Trees and superintegrable Lotka-Volterra families. (English) Zbl 07964097 Math. Phys. Anal. Geom. 27, No. 4, Paper No. 25, 20 p. (2024). MSC: 81-XX 26-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rui, Wenjuan; Guan, Wenchuang; Yang, Yi; Cheng, Jipeng The modified Toda hierarchy. (English) Zbl 07962314 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 110, 21 p. (2024). MSC: 35Q51 37K10 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oza, Priyank; Agarwal, Khusboo; Tyagi, Jagmohan Fundamental solutions: a brief review. (English) Zbl 07961834 Differ. Equ. Appl. 16, No. 1, 39-70 (2024). MSC: 35A08 35M10 35J50 35J70 35E05 35H20 17B70 35Q05 26D10 35R03 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Glushak, A. V. Cauchy problem for abstract singular equations containing the Bessel operator for negative values of the parameter. (English) Zbl 07961808 Lobachevskii J. Math. 45, No. 9, 4508-4519 (2024). MSC: 34G10 34A12 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou On the closure of the Airault-Mckean-Moser locus for elliptic KdV potentials via Darboux transformations. (English) Zbl 07957800 J. Spectr. Theory 14, No. 4, 1475-1512 (2024). MSC: 37K10 14H70 × Cite Format Result Cite Review PDF Full Text: DOI
Cresson, Jacky; Palafox, Jordy Application of Lie groups to the search for symmetries of implicit planar webs. (Application des groupes de Lie à la recherche des symétries des tissus implicites du plan.) (French. English summary) Zbl 07957318 Ann. Math. Blaise Pascal 31, No. 1, 65-82 (2024). Reviewer: Fernando Etayo Gordejuela (Santander) MSC: 53A60 14C21 32M25 34C14 22F50 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Wenzhuo; Shi, Ying; Zhao, Junxiao Stochastic soliton and rogue wave solutions of the nonlinear Schrödinger equation with white Gaussian noise. (English) Zbl 07955402 Phys. Lett., A 526, Article ID 129957, 12 p. (2024). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Yang, XiaoXia; Xue, Lingling; Liu, Q. P. \(N = 2\) \(a = 1\) supersymmetric KdV equation and its Darboux-Bäcklund transformations. (English) Zbl 07955075 Commun. Theor. Phys. 76, No. 11, Article ID 115002, 8 p. (2024). MSC: 37K10 37K35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Shavlukov, A. M. On generic singularities of solutions to the 1D gas flow equations: Chaplygin and Bechert-Stanyukovich cases. (English) Zbl 07954465 Lobachevskii J. Math. 45, No. 6, 2779-2791 (2024). MSC: 35Q35 35Q05 76N15 76N30 58K35 35L40 × Cite Format Result Cite Review PDF Full Text: DOI
Patra, Amit A note on linear derivations. (English) Zbl 07953672 Czech. Math. J. 74, No. 3, 683-695 (2024). MSC: 13N15 × Cite Format Result Cite Review PDF Full Text: DOI
Miranda, Eva; Weitsman, Jonathan Darboux, Moser and Weinstein theorems for prequantum systems and applications to geometric quantization. (English) Zbl 07944304 J. Geom. Phys. 206, Article ID 105298, 4 p. (2024). MSC: 53D50 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosu, H. C.; de la Cruz, J. Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator. (English) Zbl 07942650 Ann. Phys. 470, Article ID 169830, 12 p. (2024). MSC: 34C15 34C20 34C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elgindi, Tarek M. Remark on the stability of energy maximizers for the 2D Euler equation on \(\mathbb{T}^2\). (English) Zbl 07941365 Commun. Pure Appl. Anal. 23, No. 10, 1562-1568 (2024). MSC: 35Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Álvarez-Ramírez, Martha; García-Saldaña, Johanna D.; Medina, Mario Global dynamics and integrability of a Leslie-Gower predator-prey model with linear functional response and generalist predator. (English) Zbl 07941257 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 294, 19 p. (2024). MSC: 34C60 92D25 34A05 34C05 34A05 34C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaillard, Pierre Multi-parametric solutions to the functional difference KdV equation. (English) Zbl 07938823 Wave Motion 130, Article ID 103385, 9 p. (2024). MSC: 39-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Tao; Zhu, Jinyan Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation. (English) Zbl 07938794 Wave Motion 129, Article ID 103347, 13 p. (2024). MSC: 35-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Fang-Cheng; Xie, Wei-Kang W-shaped soliton, breather and rogue wave solutions on the elliptic function background in a fifth-order nonlinear Schrödinger equation. (English) Zbl 07938791 Wave Motion 129, Article ID 103334, 11 p. (2024). MSC: 35-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI
Inam, A.; ul Hassan, M. Quasi-Grammian soliton and kink dynamics of an \(M\)-component semidiscrete coupled integrable system. (English. Russian original) Zbl 1548.37101 Theor. Math. Phys. 221, No. 1, 1650-1674 (2024); translation from Teor. Mat. Fiz. 221, No. 1, 70-96 (2024). MSC: 37K10 37K60 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Inam, A.; ul Hassan, M. Quasi-Grammian loop dynamics of a multicomponent semidiscrete short pulse equation. (English. Russian original) Zbl 1548.37100 Theor. Math. Phys. 220, No. 3, 1530-1555 (2024); translation from Teor. Mat. Fiz. 220, No. 3, 550-577 (2024). MSC: 37K10 37K35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Senninger, A. On discrete orthogonal coordinates corresponding to torsion-free sheaves over reducible spectral curves. (English. Russian original) Zbl 07937490 Sib. Math. J. 65, No. 5, 1201-1207 (2024); translation from Sib. Mat. Zh. 65, No. 5, 1029-1036 (2024). MSC: 37K25 37K20 37K60 53A70 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xin; He, Jingsong Rogue waves in a reverse space nonlocal nonlinear Schrödinger equation. (English) Zbl 07935957 Physica D 469, Article ID 134313, 16 p. (2024). MSC: 35Q55 35Q41 35C08 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Mahmood, Irfan; Li, Zhao; Sohail, Hira; Ditta, Allah; Elansary, Hosam O.; Hussain, Ejaz Multi-soliton solutions of Ito-type coupled KdV equation with conservation laws in Darboux framework. (English) Zbl 07932571 Int. J. Geom. Methods Mod. Phys. 21, No. 12, Article ID 2450205, 19 p. (2024). MSC: 83-XX 53-XX × Cite Format Result Cite Review PDF Full Text: DOI
Amjad, Zeeshan; Haider, Bushra; Ma, Wen-Xiu Integrable discretization and multi-soliton solutions of negative order AKNS equation. (English) Zbl 07931963 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 280, 20 p. (2024). MSC: 37K60 39A36 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qiao; Dong, Jianwei Analytical solutions to the cylindrically symmetric compressible isothermal Euler-Poisson equations of galaxies. (English) Zbl 07931081 Classical Quantum Gravity 41, No. 22, Article ID 227002, 9 p. (2024). MSC: 85A05 85A15 35Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jing; Yi, Taishan; Zou, Xingfu A generalization of Darboux-Froda theorem and its applications. (English) Zbl 07928589 Proc. Am. Math. Soc. 152, No. 11, 4675-4686 (2024). MSC: 26A48 26B05 35C07 37C65 × Cite Format Result Cite Review PDF Full Text: DOI
Crasmareanu, Mircea The Darboux mate and the higher order curvatures of spherical Legendre curves. (English) Zbl 07926439 Chen, Bang-Yen (ed.) et al., Geometry of submanifolds and applications. Singapore: Springer. Infosys Sci. Found. Ser., 197-207 (2024). MSC: 53A04 53C50 53D10 × Cite Format Result Cite Review PDF Full Text: DOI
Komyo, Arata Description of generalized isomonodromic deformations of rank-two linear differential equations using apparent singularities. (English) Zbl 07926276 Publ. Res. Inst. Math. Sci. 60, No. 1, 185-269 (2024). MSC: 34M56 34M55 34M03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bibi, Amna; ur Rehman, Mujeeb A numerical technique based on multiplicative integration strategy for fractional Darboux problem. (English) Zbl 07925687 Numer. Algorithms 97, No. 2, 617-643 (2024). MSC: 65-XX 41-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Huizhan The \(m\)-component super KP hierarchy in Kac-van de Leur version. (English) Zbl 07924424 Phys. Lett., B 857, Article ID 139005, 12 p. (2024). MSC: 81-XX 83-XX 81R12 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Krasauskas, R.; Zube, S. Quaternionic Bézier parameterizations of bidegree (2,1). (English) Zbl 1548.65069 Comput. Aided Geom. Des. 113, Article ID 102375, 11 p. (2024). MSC: 65D18 53A05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jianan; Liu, Muwei; Zhang, Zhiyang; Wang, Haotian; Liu, Wenjun Modulation instability, state transitions and dynamics of multi-peak rogue wave in a higher-order coupled nonlinear Schrödinger equation. (English) Zbl 07921063 Phys. Lett., A 524, Article ID 129823, 11 p. (2024). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Sarfraz, H.; Saleem, U.; Hanif, Y. Loop dynamics of shifted space-time nonlocal short pulse equation. (English) Zbl 07921042 Phys. Lett., A 523, Article ID 129776, 12 p. (2024). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Berti, Massimiliano KAM for vortex patches. (English) Zbl 07920609 Regul. Chaotic Dyn. 29, No. 4, 654-676 (2024). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 76B47 35Q31 70H08 70H15 × Cite Format Result Cite Review PDF Full Text: DOI
Mahmood Mahmood, Ghassan Ali; Öztürk, Ufuk Curves associated with spacelike curves on lightlike surfaces in \(\mathbb{E}_1^3\). (English) Zbl 1545.53007 Adv. Stud.: Euro-Tbil. Math. J. 17, No. 1, 35-56 (2024). MSC: 53A04 53A35 58C25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong; Zhang, Yong; Ding, Liyuan Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations. (English) Zbl 1544.35157 Int. J. Geom. Methods Mod. Phys. 21, No. 11, Article ID 2450182, 18 p. (2024). MSC: 35Q55 37K15 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Hui Multibreather-like solutions of the real and complex reverse space-time nonlocal defocusing short-pulse equations. (English. Russian original) Zbl 1547.37086 Theor. Math. Phys. 219, No. 3, 973-985 (2024); translation from Teor. Mat. Fiz. 219, No. 3, 508-522 (2024). MSC: 37K40 37K35 35Q51 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Kuang, Yonghui A general coupled derivative nonlinear Schrödinger system: Darboux transformation and soliton solutions. (English) Zbl 1544.35155 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 46, 15 p. (2024). MSC: 35Q55 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Tamta, Stuti; Gupta, Ram Shankar New parametrization of Bertrand partner D-curves in \(\mathbb{E}^3 \). (English) Zbl 07905304 Bol. Soc. Parana. Mat. (3) 42, Paper No. 25, 11 p. (2024). MSC: 53A40 53A04 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xuemei; Yang, Yunqing The localized excitation on the Jacobi elliptic function periodic background for the Gross-Pitaevskii equation. (English) Zbl 1546.35217 Appl. Math. Lett. 157, Article ID 109208, 7 p. (2024). MSC: 35Q55 37K35 35C08 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Jing; Liu, Huan; Li, Fang; Geng, Xianguo Localized waves on the periodic background for the Hermitian symmetric space derivative nonlinear Schrödinger equation. (English) Zbl 1546.35212 Appl. Math. Lett. 157, Article ID 109206, 6 p. (2024). MSC: 35Q55 35Q41 35C08 37K35 35B10 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Jiao; Wang, Junyan; Li, Yihao Soliton and breather solutions of a reverse time nonlocal coupled nonlinear Schrödinger equation with four-wave mixing effect. (English) Zbl 1546.35216 Appl. Math. Lett. 157, Article ID 109165, 7 p. (2024). MSC: 35Q55 35Q41 35Q51 35C08 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Djelah, Gabriel; Ndzana, Fabien I. I.; Abdoulkary, Saidou; English, L. Q.; Mohamadou, Alidou Higher-order rogue waves due to a coupled cubic-quintic nonlinear Schrödinger equations in a nonlinear electrical network. (English) Zbl 07902992 Phys. Lett., A 518, Article ID 129666, 14 p. (2024). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Hui Interaction of solitons in the matrix nonlinear Schrödinger equation. (English) Zbl 1546.35219 Appl. Math. Lett. 158, Article ID 109236, 5 p. (2024). MSC: 35Q55 35Q41 35C08 37K35 35A20 × Cite Format Result Cite Review PDF Full Text: DOI
Riaz, H. W. A.; Lin, J. Darboux transformation for a semi-discrete matrix coupled dispersionless system. (English) Zbl 07901107 Appl. Math. Lett. 158, Article ID 109217, 6 p. (2024). MSC: 37K60 37K35 39A36 × Cite Format Result Cite Review PDF Full Text: DOI
Kengne, Emmanuel Comment on: “Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation”. (English) Zbl 1546.35180 Z. Angew. Math. Phys. 75, No. 4, Paper No. 138, 8 p. (2024). MSC: 35Q51 35Q55 37K10 37K35 35B35 35C08 41A58 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Öztürk, Ufuk; Mahmood Mahmood, Ghassan Ali Darboux associate curves of timelike curves in \(\mathbb{E}^3_1\). (English) Zbl 07900184 Southeast Asian Bull. Math. 48, No. 4, 517-530 (2024). MSC: 53A04 53A35 58C25 × Cite Format Result Cite Review PDF Full Text: Link
Alomari, Mohammad W.; Batiha, Iqbal M.; Momani, Shaher New higher-order implict method for approximating solutions of the initial value problems. (English) Zbl 1545.65286 J. Appl. Math. Comput. 70, No. 4, 3369-3393 (2024). MSC: 65L05 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Pu, Juncai; Chen, Yong Darboux transformation-based LPNN generating novel localized wave solutions. (English) Zbl 1545.35194 Physica D 467, Article ID 134262, 10 p. (2024). MSC: 35Q60 35Q51 68T07 78A60 37K10 37K35 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Kruglov, V. E. Christoffel-Darboux formula for polynomial eigenfunctions of second-order linear differential equations. (English. Russian original) Zbl 1547.34125 Differ. Equ. 60, No. 4, 436-444 (2024); translation from Differ. Uravn. 60, No. 4, 463-471 (2024). MSC: 34L10 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Odake, Satoru; Sasaki, Ryu ‘Diophantine’ and factorization properties of finite orthogonal polynomials in the Askey scheme. (English) Zbl 1545.33017 J. Difference Equ. Appl. 30, No. 7, 820-848 (2024). MSC: 33D45 12D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, DongZhu; Zhaqilao Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation. (English) Zbl 1544.35135 Commun. Theor. Phys. 76, No. 5, Article ID 055003, 16 p. (2024). MSC: 35Q51 37K35 35C08 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiao-Hui; Zhaqilao Rogue waves for the (2+1)-dimensional Myrzakulov-Lakshmanan-IV equation on a periodic background. (English) Zbl 1544.35140 Commun. Theor. Phys. 76, No. 4, Article ID 045004, 11 p. (2024). MSC: 35Q51 37K35 35C07 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Riaz, H. W. A.; Lin, J. The quasi-Gramian solution of a non-commutative extension of the higher-order nonlinear Schrödinger equation. (English) Zbl 1544.35160 Commun. Theor. Phys. 76, No. 3, Article ID 035005, 11 p. (2024). MSC: 35Q55 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Gràcia, Xavier; de Lucas, Javier; Rivas, Xavier; Román-Roy, Narciso On Darboux theorems for geometric structures induced by closed forms. (English) Zbl 1541.53099 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 131, 35 p. (2024). MSC: 53D05 53C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Tao; An, Li-Cong; Li, Min; Xu, Chuan-Xin \(N\)-fold Darboux transformation of the discrete PT-symmetric nonlinear Schrödinger equation and new soliton solutions over the nonzero background. (English) Zbl 1543.35224 Stud. Appl. Math. 152, No. 4, 1338-1364 (2024). MSC: 35Q55 35Q41 81Q05 35C08 35B40 35K35 35K40 × Cite Format Result Cite Review PDF Full Text: DOI
Djordjević, Jelena; Nešović, Emilija; Öztürk, Ufuk; Koç Öztürk, Esra B. On null Cartan normal isophotic and normal silhouette curves on a timelike surface in Minkowski 3-space. (English) Zbl 07883098 Math. Methods Appl. Sci. 47, No. 12, 10520-10539 (2024). MSC: 35F40 65L06 53C50 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Li; Fan, Chengcheng; Yu, Fajun Soliton solution, breather solution and rational wave solution for the coupled macroscopic fluctuation theory equation in the optimal path of the process. (English) Zbl 07881980 Wave Motion 128, Article ID 103329, 13 p. (2024). MSC: 35-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Yadong; Zhang, Yi Rogue waves on the periodic background of the Kuralay-II equation. (English) Zbl 07881972 Wave Motion 128, Article ID 103310, 13 p. (2024). MSC: 35-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Yu-Lan; Li, Bang-Qing Higher-order hybrid rogue wave and breather interaction dynamics for the AB system in two-layer fluids. (English) Zbl 07875923 Math. Comput. Simul. 221, 489-502 (2024). MSC: 35-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Marcellán, Francisco; Zurrián, Ignacio Bispectrality for matrix Laguerre-Sobolev polynomials. (English) Zbl 1542.42032 Linear Algebra Appl. 697, 131-145 (2024). MSC: 42C05 33C45 34L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Melnikov, I. E.; Pelinovsky, E. N. Linear waves on shallow water slowing down near the shore over uneven bottom. (English) Zbl 07872765 Fluid Dyn. 59, No. 2, 260-269 (2024). MSC: 76B15 76B25 76M45 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Schulze-Halberg, Axel; Roy, Pinaki Darboux transformations for Dunkl-Schrödinger equations with energy-dependent potential and position-dependent mass. (English) Zbl 07872298 J. Phys. A, Math. Theor. 57, No. 22, Article ID 225204, 24 p. (2024). MSC: 37K35 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Li; Tang, Liqin; Wang, Jun; Wang, Jixiu Existence of normalized solutions for fractional Kirchhoff-Schrödinger-Poisson equations with general nonlinearities. (English) Zbl 07872003 Math. Methods Appl. Sci. 47, No. 11, 8786-8807 (2024). MSC: 35Q55 35Q05 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Rozanova, Olga S.; Delova, Maria I. On radially symmetric oscillations of a collisional cold plasma. (English) Zbl 07871980 Math. Methods Appl. Sci. 47, No. 11, 8385-8399 (2024). MSC: 35Q05 35B44 76X05 × Cite Format Result Cite Review PDF Full Text: DOI
İşbilir, Zehra; Özen, Kahraman Esen; Tosun, Murat Mannheim partner trajectories related to PAFORS. (English) Zbl 1549.70003 Facta Univ., Ser. Math. Inf. 39, No. 2, 233-245 (2024). MSC: 70B05 53A04 57R25 × Cite Format Result Cite Review PDF Full Text: DOI
Ünlütürk, Yasin; Ekici, Cumali; Ünal, Doğan A new glance to the aspects of q-helices. (English) Zbl 1549.53018 Facta Univ., Ser. Math. Inf. 39, No. 1, 51-65 (2024). MSC: 53A04 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Wang; Yu, Guo-Fu Rogue waves solutions on the elliptic background of an extended \((3 + 1)\)-dimensional nonlinear Schrödinger equation. (English) Zbl 07869427 Math. Methods Appl. Sci. 47, No. 9, 7576-7589 (2024). MSC: 35Q55 35C08 37K10 37K40 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xing-yu; Lu, Bin-he; Zhang, Da-jun Non-auto Darboux transformation for \(N\)-soliton solutions of the non-isospectral Korteweg-de Vries hierarchy. (English) Zbl 07869424 Math. Methods Appl. Sci. 47, No. 9, 7518-7531 (2024). MSC: 37K35 37K40 35K10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xingli; Liu, Jianli; Yuen, Manwai Singularity formation for the relativistic Euler-Poisson equations with repulsive force and damping. (English) Zbl 1547.35484 Math. Methods Appl. Sci. 47, No. 7, 6446-6456 (2024). MSC: 35Q05 35B44 35A21 × Cite Format Result Cite Review PDF Full Text: DOI
Shelekhov, A. M. On triangulation of the plane by pencils of conics III. (English. Russian original) Zbl 1546.53021 Russ. Math. 68, No. 1, 69-87 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 1, 77-97 (2024). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 53A60 14C21 51N15 14J26 × Cite Format Result Cite Review PDF Full Text: DOI
Konstantinou-Rizos, S.; Nikitina, A. A. Yang-Baxter maps of KdV, NLS and DNLS type on division rings. (English) Zbl 1547.37092 Physica D 465, Article ID 134213, 12 p. (2024). MSC: 37K60 39A36 16T25 17B38 35Q55 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Cui-Cui; Zhu, Lin-Wang; Triki, Houria; Zhou, Qin Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system. (English) Zbl 1542.35353 Physica D 464, Article ID 134191, 11 p. (2024). MSC: 35Q55 37K35 35C08 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Mendez, Argenis J.; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C. Long time asymptotics of large data in the Kadomtsev-Petviashvili models. (English) Zbl 1541.35435 Nonlinearity 37, No. 5, Article ID 055017, 52 p. (2024). MSC: 35Q53 35Q05 35B40 35B65 35C08 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calabrese, Marco; Paleari, Simone; Penati, Tiziano Darboux’s theorem, Lie series and the standardization of the Salerno and Ablowitz-Ladik models. (English) Zbl 1547.37090 Physica D 463, Article ID 134183, 10 p. (2024). MSC: 37K60 37K30 39A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mirza, A.; ul Hassan, M. Superfield Bäcklund and Darboux transformations of an \(\mathcal{N}=1\) supersymmetric coupled dispersionless integrable system. (English. Russian original) Zbl 1541.37081 Theor. Math. Phys. 219, No. 1, 629-637 (2024); translation from Teor. Mat. Fiz. 219, No. 1, 114-123 (2024). MSC: 37K35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Kozhan, Rostyslav; Vaktnäs, Marcus Szegő recurrence for multiple orthogonal polynomials on the unit circle. (English) Zbl 1541.42027 Proc. Am. Math. Soc. 152, No. 7, 2983-2997 (2024). MSC: 42C05 41A21 47B36 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Tao; Qiao, Zhijun Conservation laws, modulation instability, and mixed semi-rational solutions for a three-component modified nonlinear Schrödinger equation. (English) Zbl 1547.35643 Math. Methods Appl. Sci. 47, No. 6, 4497-4512 (2024). MSC: 35Q55 35C08 37K35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Lubbes, Niels Translational and great Darboux cyclides. (Cyclides de Darboux translationnelles et grandes cyclides de Darboux.) (English. French summary) Zbl 1541.51008 C. R., Math., Acad. Sci. Paris 362, 413-448 (2024). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51B10 51M15 14J17 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ling, Liming; Su, Huajie Rogue waves and their patterns for the coupled Fokas-Lenells equations. (English) Zbl 07855425 Physica D 461, Article ID 134111, 19 p. (2024). MSC: 35Q55 35Q15 35Q60 35C05 35B40 35B36 37K10 37K15 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ju, Qiangchang; Wang, Jiawei; Xu, Xin Small Alfvén number limit for shallow water magnetohydrodynamics. (English) Zbl 1539.76273 J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127773, 23 p. (2024). MSC: 76W05 35Q05 × Cite Format Result Cite Review PDF Full Text: DOI