Panasyuk, Andriy Kronecker webs and nonlinear PDEs. (English) Zbl 07919729 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 455-471 (2024). MSC: 37K10 53A60 37J35 53C07 × Cite Format Result Cite Review PDF Full Text: DOI
Bolsinov, Alexey V.; Konyaev, Andrey Yu; Matveev, Vladimir S. Nijenhuis geometry IV: conservation laws, symmetries and integration of certain non-diagonalisable systems of hydrodynamic type in quadratures. (English) Zbl 07909992 Nonlinearity 37, No. 10, Article ID 105003, 27 p. (2024). MSC: 37K05 37K06 37K10 37K25 37K50 53B10 53A20 53B20 53B30 53B50 53B99 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Lin, Zhe; Chen, Yong Pseudo grid-based physics-informed convolutional-recurrent network solving the integrable nonlinear lattice equations. (English) Zbl 07908475 Physica D 468, Article ID 134304, 19 p. (2024). MSC: 37Kxx 35Qxx 68Txx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huseyin, Nesir; Huseyin, Anar; Guseinov, Khalik G. Approximation of the set of integrable trajectories of the control system with \(L_2\) norm constraints on control functions. (English) Zbl 07903735 Evol. Equ. Control Theory 13, No. 4, 1212-1228 (2024). MSC: 93C23 93C35 45G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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: 37Kxx 35Qxx 39Axx × Cite Format Result Cite Review PDF Full Text: DOI
Carpentier, Sylvain; Mikhailov, Alexander V.; Ping Wang, Jing Hamiltonians for the quantised Volterra hierarchy. (English) Zbl 07900888 Nonlinearity 37, No. 9, Article ID 095033, 21 p. (2024). MSC: 37K10 81R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ballesteros, Angel; Blasco, Alfonso; Gutierrez-Sagredo, Ivan Integrable deformations of Rikitake systems, Lie bialgebras and bi-Hamiltonian structures. (English) Zbl 07900578 Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108167, 15 p. (2024). MSC: 37J35 34A26 34C14 17B62 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsutani, Shigeki A numerical representation of hyperelliptic KdV solutions. (English) Zbl 07899964 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108259, 7 p. (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H45 14H40 14H70 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deriglazov, Alexei A. An asymmetrical body: example of analytical solution for the rotation matrix in elementary functions and Dzhanibekov effect. (English) Zbl 07899963 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108257, 7 p. (2024). MSC: 70E15 70E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Konstantinou-Rizos, S. Electric network and Hirota type 4-simplex maps. (English) Zbl 07899753 J. High Energy Phys. 2024, No. 6, Paper No. 94, 15 p. (2024). MSC: 37Kxx 82Bxx 16Txx × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Blas, Harold Biorthogonal Majorana zero modes, ELC waves and soliton-fermion duality in non-Hermitian \(sl(2)\) affine Toda coupled to fermions. (English) Zbl 07899666 J. High Energy Phys. 2024, No. 6, Paper No. 7, 60 p. (2024). MSC: 81Qxx 81Txx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Wang, Jianyong; Chai, Yuanhua New patterns of localized excitations in (2+1)-dimensions: the fifth-order asymmetric Nizhnik-Novikov-Veselov equation. (English) Zbl 07899351 Commun. Theor. Phys. 76, No. 8, Article ID 085002, 8 p. (2024). MSC: 35Q51 37K10 37K40 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Xiao-Tian; Tian, Bo; Zhou, Tian-Yu; Shen, Yuan; Feng, Chun-Hui For the shallow water waves: bilinear-form and similarity-reduction studies on a Boussinesq-Burgers system. (English) Zbl 07898343 Int. J. Theor. Phys. 63, No. 7, Paper No. 179, 10 p. (2024). MSC: 35Q35 76B15 35C08 68W30 37K10 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Pu, Juncai; Chen, Yong Darboux transformation-based LPNN generating novel localized wave solutions. (English) Zbl 07893191 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
Cheng, Xiaoyu; Huang, Qing Higher-dimensional integrable deformations of the classical Boussinesq-Burgers system. (English) Zbl 07887673 Commun. Theor. Phys. 76, No. 6, Article ID 065001, 12 p. (2024). MSC: 35Q51 37K10 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Tefera, Alemu Yilma; Li, Shangshuai; Zhang, Da-jun Cauchy matrix approach to three non-isospectral nonlinear Schrödinger equations. (English) Zbl 07887655 Commun. Theor. Phys. 76, No. 5, Article ID 055001, 15 p. (2024). MSC: 35Q55 37K15 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, Haiyang; Sun, Pei; Qiao, Yi; Xu, Xiaotian; Zhang, Xin; Yang, Tao Bethe ansatz solutions of the 1D extended Hubbard-model. (English) Zbl 07887641 Commun. Theor. Phys. 76, No. 4, Article ID 045005, 8 p. (2024). MSC: 82B23 82B20 × Cite Format Result Cite Review PDF Full Text: DOI
Shamolin, M. V. Invariants of seventh-order homogeneous dynamical systems with dissipation. (English) Zbl 07883848 Dokl. Math. 109, No. 2, 152-160 (2024). MSC: 37J35 37J39 37C79 70G45 53A55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Shi-Lin; Wang, Min-Hua; Zhao, Yin-Chuan Bright-dark rogue wave transition in coupled ab system via the physics-informed neural networks method. (English) Zbl 07882862 Commun. Appl. Math. Comput. Sci. 19, No. 1, 1-26 (2024). MSC: 65N99 65N35 68T07 68Q32 35C08 37K10 37K35 35R02 × Cite Format Result Cite Review PDF Full Text: DOI
Pustovoĭtov, Sergeĭ Evgen’evich Research of the structure of the Liouville foliation of an integrable elliptical billiard with polynomial potential. (Russian. English summary) Zbl 07879124 Chebyshevskiĭ Sb. 25, No. 1(92), 62-102 (2024). MSC: 37J39 37J35 37C83 70E40 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Li, Guang-Liang; Cao, Junpeng; Qiao, Yi; Yang, Wen-Li Energy spectrum of the boundary quantum integrable system with \(C_2^{(1)}\)-symmetry. (English) Zbl 07878722 Ann. Phys. 467, Article ID 169687, 14 p. (2024). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Li, Haili; Wang, Deng-Shan Wave motions in discontinuous initial-value problem of the inviscid shallow water wave Jaulent-Miodek model. (English) Zbl 07877977 Discrete Contin. Dyn. Syst., Ser. B 29, No. 8, 3408-3445 (2024). MSC: 35Q35 35Q51 76B25 76L05 35C08 37J35 × Cite Format Result Cite Review PDF Full Text: DOI
Belousov, N.; Derkachov, S.; Kharchev, S.; Khoroshkin, S. Baxter operators in Ruijsenaars hyperbolic system. I: Commutativity of \(Q\)-operators. (English) Zbl 07875071 Ann. Henri Poincaré 25, No. 7, 3207-3258 (2024). MSC: 81Q80 81U15 81R12 37J38 39A70 33C80 33D80 33D52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Meisen; He, Jingsong; Fan, Engui Long-time asymptotics for the defocusing Ablowitz-Ladik system with initial data in lower regularity. (English) Zbl 07872188 Adv. Math. 450, Article ID 109769, 39 p. (2024). MSC: 37K60 35P25 35Q15 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Fehér, L. Poisson-Lie analogues of spin Sutherland models revisited. (English) Zbl 07871231 J. Phys. A, Math. Theor. 57, No. 20, Article ID 205202, 45 p. (2024). MSC: 37J39 37J35 53D05 53D17 53D20 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Nakata, Kenta; Negishi, Kanta; Matsuoka, Hiroshi; Maruno, Ken-ichi A delay analogue of the box and ball system arising from the ultra-discretization of the delay discrete Lotka-Volterra equation. (English) Zbl 07871194 J. Phys. A, Math. Theor. 57, No. 14, Article ID 145701, 26 p. (2024). MSC: 39A36 37K60 37B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Escobar-Ruiz, A. M.; Azuaje, R. On particular integrability in classical mechanics. (English) Zbl 07871153 J. Phys. A, Math. Theor. 57, No. 10, Article ID 105202, 22 p. (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 70H06 70H08 70H15 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I. Higher-order reductions of the Mikhalev system. (English) Zbl 07870836 Lett. Math. Phys. 114, No. 3, Paper No. 68, 22 p. (2024). MSC: 35B06 35C05 35Q51 35Q53 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Mama Assandje, Prosper Rosaire; Dongho, Joseph; Bouetou Bouetou, Thomas On the complete integrability of gradient systems on manifold of the beta family of the first kind. (English) Zbl 07868281 Inf. Geom. 7, No. 1, 167-191 (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 70H06 53B12 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI
de Neeling, Dijs; Roest, Diederik; Seri, Marcello; Waalkens, Holger Extremal black holes as relativistic systems with Kepler dynamics. (English) Zbl 07866580 Regul. Chaotic Dyn. 29, No. 2, 344-368 (2024). MSC: 70H40 70F05 70H33 83C57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krishnaswami, Govind S.; Vishnu, T. R. Screwon spectral statistics and dispersion relation in the quantum Rajeev-Ranken model. (English) Zbl 07864765 Physica D 463, Article ID 134170, 10 p. (2024). MSC: 81Qxx 81-XX 81Uxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jing; Zhang, Da-jun; Maruno, Ken-ichi Connection between the symmetric discrete AKP system and bilinear ABS lattice equations. (English) Zbl 07864744 Physica D 462, Article ID 134155, 18 p. (2024). MSC: 37K60 39A36 39A14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Min; Qu, Changzheng Classification of the two-component Benjamin-Ono systems. (English. Russian original) Zbl 1541.37077 Theor. Math. Phys. 219, No. 1, 638-662 (2024); translation from Teor. Mat. Fiz. 219, No. 1, 124-150 (2024). MSC: 37K10 35Q51 37K06 37K55 35A30 35G20 × Cite Format Result Cite Review PDF Full Text: DOI
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
Nabelek, Patrik; Arlen, Alexis; Fromcke, Tanner On periodic and finite genus solutions to the integrable Kaup-Broer system for capillary waves. (English) Zbl 07856327 Appl. Numer. Math. 199, 123-135 (2024). MSC: 35Q35 76B15 76B03 37K10 37K15 37K35 35B10 35C07 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Basalaev, Sergey; Agapov, Sergei Dynamics in the Kepler problem on the Heisenberg group. (English) Zbl 07854815 Anal. Math. Phys. 14, No. 3, Paper No. 58, 15 p. (2024). MSC: 37J60 37J35 37N05 70F05 53C17 70F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belozerov, G. V.; Fomenko, A. T. Rotation functions of integrable billiards as orbital invariants. (English) Zbl 07854727 Dokl. Math. 109, No. 1, 1-5 (2024). MSC: 37J35 37J39 37J40 37C83 × Cite Format Result Cite Review PDF Full Text: DOI
Karlsen, K. H.; Rybalko, Ya. On the well-posedness of the Cauchy problem for the two-component peakon system in \(C^k \cap W^{k,1}\). (English) Zbl 1540.35118 Z. Angew. Math. Phys. 75, No. 3, Paper No. 113, 30 p. (2024). MSC: 35G25 35B30 35B44 35Q53 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gao, Xin-Yi Two-layer-liquid and lattice considerations through a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system. (English) Zbl 07850545 Appl. Math. Lett. 152, Article ID 109018, 4 p. (2024). MSC: 35Q53 76T06 37K35 37K60 35C08 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Karmakar, Debabrata; Lin, Chang-Shou; Nie, Zhaohu; Wei, Juncheng Total masses of solutions to general Toda systems with singular sources. (English) Zbl 1541.35190 Adv. Math. 447, Article ID 109702, 35 p. (2024). Reviewer: Giovanni Anello (Messina) MSC: 35J47 35J91 17B80 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Belousov, Nikita; Derkachov, Sergey; Kharchev, Sergey; Khoroshkin, Sergey Baxter operators in Ruijsenaars hyperbolic system. IV: Coupling constant reflection symmetry. (English) Zbl 07845289 Commun. Math. Phys. 405, No. 4, Paper No. 106, 47 p. (2024). Reviewer: Danilo Latini (Roma) MSC: 37J70 37J38 37J35 39A36 39A70 33D45 33D52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mu, Jingyu; Shi, Yiqian; Sun, Tianyang; Xu, Bin Classifying solutions of \(\mathrm{SU}(n+1)\) Toda system around a singular source. (English) Zbl 07843768 Proc. Am. Math. Soc. 152, No. 6, 2585-2600 (2024). MSC: 37J35 37J38 37J37 17B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ali, Kashif; Seadawy, Aly R.; Rizvi, Syed T. R.; Aziz, Noor Conservation laws, Lie symmetries, self adjointness, and soliton solutions for the Selkov-Schnakenberg system. (English) Zbl 1537.35303 Commun. Theor. Phys. 76, No. 2, Article ID 025003, 16 p. (2024). MSC: 35Q51 35B06 35C08 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Zhi-Jia; Tian, Shou-Fu; Yin, Zhe-Yong Action-angle variables and conservation laws expressed in terms of scattering data for an integrable hierarchy associated with the Zakharov-Ito system. (English) Zbl 07842122 Physica D 460, Article ID 134062, 8 p. (2024). MSC: 37K15 37K10 37K06 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshino, Masafumi Summability of transseries solution of non-integrable Hamiltonian system. (English) Zbl 07841603 J. Dyn. Control Syst. 30, No. 2, 1-27 (2024). MSC: 37J30 37J35 40D05 40F05 40C15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Wang, Xue; Du, Dianlou; Wang, Hui A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation. (English. Russian original) Zbl 1539.37074 Theor. Math. Phys. 218, No. 3, 370-387 (2024); translation from Teor. Mat. Fiz. 218, No. 3, 430-448 (2024). MSC: 37K10 37K06 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Jairuk, U.; Yoo-Kong, S. One-parameter discrete-time Calogero-Moser system. (English. Russian original) Zbl 1539.37071 Theor. Math. Phys. 218, No. 3, 357-369 (2024); translation from Teor. Mat. Fiz. 218, No. 3, 415-429 (2024). MSC: 37J70 37J35 39A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xue; Du, Dianlou A nonlocal finite-dimensional integrable system related to the nonlocal nonlinear Schrödinger equation hierarchy. (English) Zbl 07838363 Int. J. Geom. Methods Mod. Phys. 21, No. 2, Article ID 2450045, 34 p. (2024). MSC: 37J35 37K10 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Tsiganov, Andrey V. On rotation invariant integrable systems. (English. Russian original) Zbl 07838028 Izv. Math. 88, No. 2, 389-409 (2024); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 88, No. 2, 206-226 (2024). Reviewer: Arsen Melikyan (Brasília) MSC: 70H06 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Bruzzo, Ugo; Dalakov, Peter Seiberg-Witten differentials on the Hitchin base. (English) Zbl 1540.14025 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 2, Paper No. 53, 18 p. (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14D20 14D07 14H70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Qu, Changzheng; Wu, Zhiwei Geometrical correspondence of the Miura transformation induced from affine Kac-Moody algebras. (English) Zbl 07836559 Stud. Appl. Math. 152, No. 1, 174-202 (2024). MSC: 37K35 37K10 37K30 35Q53 17B67 17B80 × Cite Format Result Cite Review PDF Full Text: DOI
Charlier, C.; Lenells, J. Miura transformation for the “good” Boussinesq equation. (English) Zbl 1537.35016 Stud. Appl. Math. 152, No. 1, 73-110 (2024). MSC: 35A22 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Wang, Haiquan Continuity properties of the solution map for the four-component Novikov system with peakon solutions. (English) Zbl 1535.35167 J. Math. Anal. Appl. 536, No. 1, Article ID 128193, 36 p. (2024). MSC: 35Q53 35C08 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Gorsky, Alexander; Varchenko, Alexander Calogero-Moser eigenfunctions modulo \(p^s\). (English) Zbl 07821447 Lett. Math. Phys. 114, No. 2, Paper No. 44, 27 p. (2024). MSC: 81Q80 81U15 81R12 37J38 37J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kan, Masafumi; Fukuda, Akiko; Watanabe, Sennosuke Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra. (English) Zbl 07820961 J. Difference Equ. Appl. 30, No. 2, 233-251 (2024). MSC: 39A36 15A80 37J70 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Moon, Byungsoo Stability of periodic peakons for a nonlinear quartic \(\mu\)-Camassa-Holm equation. (English) Zbl 1540.35052 J. Dyn. Differ. Equations 36, No. 1, 703-725 (2024). MSC: 35B35 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Yan; Dong, Yingdu; Li, Xiong The existence of almost periodic response solutions for superlinear Duffing’s equations. (English) Zbl 1539.70027 J. Dyn. Differ. Equations 36, No. 1, 577-593 (2024). MSC: 70K43 70H08 70H12 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Jaquette, Jonathan Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations. (English) Zbl 07818452 J. Dyn. Differ. Equations 36, No. 1, 1-25 (2024). MSC: 35B15 35B44 35Q55 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alonso, Ricardo; Čolić, Milana Integrability propagation for a Boltzmann system describing polyatomic gas mixtures. (English) Zbl 1534.35281 SIAM J. Math. Anal. 56, No. 1, 1459-1494 (2024). MSC: 35Q20 76P05 76N15 76T30 82C40 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frenkel, Edward; Koroteev, Peter; Sage, Daniel S.; Zeitlin, Anton M. \(q\)-opers, \(QQ\)-systems, and Bethe Ansatz. (English) Zbl 1534.82005 J. Eur. Math. Soc. (JEMS) 26, No. 1, 355-405 (2024). MSC: 82B23 82D40 17B80 14D24 81R50 22E10 39A06 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Shengqing; Zhang, Jing Response solutions for finite smooth harmonic oscillators with quasi-periodic forcing. (English) Zbl 1541.37064 Discrete Contin. Dyn. Syst. 44, No. 5, 1267-1286 (2024). MSC: 37J40 70K43 70K40 70K60 34C15 70H08 70H09 34C27 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Caiqin; Zhao, Hai-qiong; Zhu, Zuo-nong Nonlocal Yajima-Oikawa system: binary Darboux transformation, exact solutions and dynamic properties. (English) Zbl 1534.35376 Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024). MSC: 35Q55 35Q41 35Q51 35C08 37K10 37K15 37K35 35B34 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Pelayo, Álvaro; Tang, Xiudi Vũ Ngọc’s conjecture on focus-focus singular fibers with multiple pinched points. (English) Zbl 07810746 J. Fixed Point Theory Appl. 26, No. 1, Paper No. 6, 34 p. (2024). MSC: 37J39 37J35 37J11 53D20 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bolsinov, Alexey V.; Konyaev, Andrey Yu.; Matveev, Vladimir S. Nijenhuis geometry. III: \(\mathrm{gl}\)-regular Nijenhuis operators. (English) Zbl 07810710 Rev. Mat. Iberoam. 40, No. 1, 155-188 (2024). Reviewer: Fernando Etayo Gordejuela (Santander) MSC: 53C15 53A45 37K25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deaño, Alfredo; Morey, Lucía; Román, Pablo Non-abelian Toda-type equations and matrix valued orthogonal polynomials. (English) Zbl 1537.37068 Proc. Am. Math. Soc. 152, No. 4, 1613-1632 (2024). MSC: 37J38 37J35 33C45 33C90 33C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuli; Zhang, Weiguo; Li, Xiang Exact periodic wave solutions of the cubic-quintic Zakharov equation and their evolution with Hamilton energy. (English) Zbl 1534.35060 J. Phys. A, Math. Theor. 57, No. 6, Article ID 065205, 46 p. (2024). MSC: 35C05 35C07 35C08 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Zhou, Ruguang; Yu, Zilong Integrable reductions of the multi-component Kaup-Newell equations. (English) Zbl 1537.37086 Physica D 458, Article ID 134011, 5 p. (2024). MSC: 37K10 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Cheviakov, Alexei; Zhao, Peng Analytical properties of nonlinear partial differential equations. With applications to shallow water models. (English) Zbl 07808162 CMS/CAIMS Books in Mathematics 10. Cham: Springer (ISBN 978-3-031-53073-9/hbk; 978-3-031-53076-0/pbk; 978-3-031-53074-6/ebook). xviii, 309 p. (2024). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q35 35-02 76-02 76B15 76B25 76D05 37K10 37K15 37K35 35A20 35B06 68W30 35C08 35C07 82D55 35R35 34M55 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
George, Terrence; Inchiostro, Giovanni The cluster modular group of the dimer model. (English) Zbl 1533.05068 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 11, No. 1, 147-198 (2024). MSC: 05C10 05B45 05C25 82B20 13F60 14H70 37K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
de Menezes Neto, José Laudelino Investigation of the nonlinear stability of a pendulum with variable length in elliptic orbit. (English) Zbl 07807483 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1611-1623 (2024). Reviewer: Lennard Bakker (Provo) MSC: 70K20 70J25 70H14 70H08 70M20 × Cite Format Result Cite Review PDF Full Text: DOI
Šikić, Hrvoje; Slamić, Ivana Dual integrable representations on locally compact groups. (English) Zbl 07805298 J. Geom. Anal. 34, No. 3, Paper No. 91, 52 p. (2024). MSC: 43A65 47A15 43A30 46L52 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiubin; Tian, Shoufu Darboux-dressing transformation and semirational solution to the coupled Sasa-Satsuma equation. (English) Zbl 07802107 Acta Math. Appl. Sin. 47, No. 1, 124-138 (2024). MSC: 35C08 35Q53 × Cite Format Result Cite Review PDF Full Text: Link
Li, Shangshuai; Zhang, Da-jun Cauchy matrix structure and solutions of the spin-1 Gross-Pitaevskii equations. (English) Zbl 1532.35427 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107705, 14 p. (2024). MSC: 35Q55 35Q41 37K10 82C10 82C26 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Fordy, Allan P.; Huang, Qing Stationary coupled KdV hierarchies and related Poisson structures. (English) Zbl 1532.35407 J. Geom. Phys. 197, Article ID 105079, 25 p. (2024). MSC: 35Q53 37J37 70H06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yu-Yue; Zhou, Zi-Xiang Exact solutions for two dimensional \(D_n^{(1)}\) Toda equation. (English) Zbl 07793593 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107792, 21 p. (2024). MSC: 37Jxx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Gonera, Cezary; Gonera, Joanna; Kosiński, Piotr On the generalization of classical Zernike system. (English) Zbl 1539.37063 Nonlinearity 37, No. 2, Article ID 025019, 8 p. (2024). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37J35 70H06 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui On the oceanic/laky shallow-water dynamics through a Boussinesq-Burgers system. (English) Zbl 1531.35322 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 57, 11 p. (2024). MSC: 35Q86 35Q35 86A05 76B15 35C08 37K10 37K35 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Agapov, Sergei; Shubin, Vladislav New examples of non-polynomial integrals of two-dimensional geodesic flows. (English) Zbl 1530.53083 J. Phys. A, Math. Theor. 57, No. 1, Article ID 015204, 17 p. (2024). Reviewer: Alexey O. Remizov (Moskva) MSC: 53D25 53C22 37J35 37J39 37D40 × Cite Format Result Cite Review PDF Full Text: DOI
Habibullin, I. T.; Faizulina, K. I.; Khakimova, A. R. Laplace transformations and sine-Gordon type integrable PDE. (English) Zbl 1531.35020 J. Phys. A, Math. Theor. 57, No. 1, Article ID 015203, 21 p. (2024). MSC: 35A22 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xing; Liu, Yongqiang; Yang, Shaopu; Niu, Weidong; Chen, Yanhong; Guo, Tao The first passage problem of a stochastic wheelset system. (English) Zbl 1533.70027 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107643, 15 p. (2024). MSC: 70L05 70K20 70H07 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Shoujun; Wu, Hao; Zhang, Xiang On the local Gevrey integrability. (English) Zbl 1533.37121 J. Differ. Equations 382, 246-273 (2024). MSC: 37J35 37J40 37J30 37C20 37C27 × Cite Format Result Cite Review PDF Full Text: DOI
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem. (English) Zbl 1530.70014 J. Nonlinear Sci. 34, No. 1, Paper No. 12, 38 p. (2024). MSC: 70F15 70H08 70H12 70-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Karlsen, K. H.; Rybalko, Ya. On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system. (English) Zbl 1522.35442 J. Math. Anal. Appl. 529, No. 1, Article ID 127601, 33 p. (2024). MSC: 35Q53 35Q51 35C08 35A01 35A02 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
López-Gordón, Asier The geometry of dissipation. arXiv:2409.11947 Preprint, arXiv:2409.11947 [math-ph] (2024). MSC: 37J35 37J39 37J55 53D10 53E50 53Z05 65P10 70F35 70F40 70H06 70H20 70H30 70H33 93C30 × Cite Format Result Cite Full Text: arXiv OA License
Villegas, M. Costa; García-Naranjo, L. C. Affine generalizations of the nonholonomic problem of a convex body rolling without slipping on the plane. arXiv:2409.08072 Preprint, arXiv:2409.08072 [math-ph] (2024). MSC: 37J60 70F25 70E18 70E40 × Cite Format Result Cite Full Text: arXiv OA License
Zou, Li; Zhao, Liqin Second order Melnikov functions for planar piecewise smooth integrable non-Hamiltonian systems with multiple zones and application. (English) Zbl 07921177 J. Appl. Anal. Comput. 13, No. 5, 2995-3025 (2023). MSC: 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Wawreniuk, Elwira Symplectic realizations of \(\mathrm{e}(3)^\ast\). (English) Zbl 07914667 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXIX. Workshop, Białystok, Poland, June 19–25, 2022. Cham: Birkhäuser. Trends Math., 269-286 (2023). MSC: 70H06 70E05 70E17 70G65 × Cite Format Result Cite Review PDF Full Text: DOI
Blaschke, Petr Pedal coordinates and orbits inside magnetic dipole field. (English) Zbl 07914658 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXIX. Workshop, Białystok, Poland, June 19–25, 2022. Cham: Birkhäuser. Trends Math., 147-158 (2023). MSC: 34A26 34A34 34A05 14H50 14H70 14H81 × Cite Format Result Cite Review PDF Full Text: DOI
Fomenko, A. T. Billiards of variable configuration and billiards with slipping in Hamiltonian geometry and topology. (English) Zbl 07853833 Lobachevskii J. Math. 44, No. 10, 4512-4522 (2023). MSC: 37J35 37J39 37C83 70E40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Lijun; Chen, Guanrong; Li, Jibin Bifurcations and exact bounded solutions of some traveling wave systems determined by integrable nonlinear oscillators with \(q\)-degree damping. (English) Zbl 07847313 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 3, Article ID 2350039, 15 p. (2023). MSC: 35K57 35B32 34C15 37K50 × Cite Format Result Cite Review PDF Full Text: DOI
Zav’yalov, Vladimir N. Billiard with slipping at any rational angle. (English. Russian original) Zbl 1541.37031 Sb. Math. 214, No. 9, 1191-1211 (2023); translation from Mat. Sb. 214, No. 9, 3-26 (2023). MSC: 37C83 37J35 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Fomenko, Anatoly T.; Vedyushkina, Viktoriya V. Billiards and integrable systems. (English. Russian original) Zbl 1541.37029 Russ. Math. Surv. 78, No. 5, 881-954 (2023); translation from Usp. Mat. Nauk 78, No. 5, 93-176 (2023). MSC: 37C83 37J35 37J39 37J20 53D25 37D40 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kilin, Alexander A.; Ivanova, Tatiana B. The problem of the rolling motion of a dynamically symmetric spherical top with one nonholonomic constraint. (English) Zbl 1541.70006 Russ. J. Nonlinear Dyn. 19, No. 4, 533-543 (2023). MSC: 70E18 70E40 70F25 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kholostova, Olga V. On nonlinear oscillations of a near-autonomous Hamiltonian system in one case of integer nonequal frequencies. (English) Zbl 1541.37070 Russ. J. Nonlinear Dyn. 19, No. 4, 447-471 (2023). MSC: 37J46 37J40 70H08 70H12 70K43 70K28 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Talalaev, D. V.; Chernyakov, Yu. B.; Sharygin, G. I. Full symmetric Toda system: solution via QR-decomposition. (English. Russian original) Zbl 1541.37060 Funct. Anal. Appl. 57, No. 4, 346-363 (2023); translation from Funkts. Anal. Prilozh. 57, No. 4, 100-122 (2023). MSC: 37J35 37J37 17B80 × Cite Format Result Cite Review PDF Full Text: DOI
Buchstaber, V. M. The Mumford dynamical system and hyperelliptic Kleinian functions. (English. Russian original) Zbl 1540.35336 Funct. Anal. Appl. 57, No. 4, 288-302 (2023); translation from Funkts. Anal. Prilozh. 57, No. 4, 27-45 (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klimčík, Ctirad Superintegrability, symmetry and point particle T-duality. (English) Zbl 07830198 Int. J. Geom. Methods Mod. Phys. 20, No. 13, Article ID 2350234, 20 p. (2023). Reviewer: Georgios Papamikos (Colchester) MSC: 70H06 70G65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuleshov, A. S.; Ulyatovskaya, I. I. The transgression effect in the problem of motion of an almost holonomic pendulum. (English. Russian original) Zbl 1537.70019 Vestn. St. Petersbg. Univ., Math. 56, No. 4, 594-597 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 356-361 (2020). MSC: 70F25 70H06 70H09 × Cite Format Result Cite Review PDF Full Text: DOI
Efimov, D. I.; Petravchuk, A. P.; Sydorov, M. S. Centralizers of Jacobian derivations. (English) Zbl 07828999 Algebra Discrete Math. 36, No. 1, 22-31 (2023). MSC: 17B66 17B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sulaiman, Evan; Amen, Azad; Aziz, Waleed Integrability aspects of the dynamical forest model. (English) Zbl 1534.34004 Rend. Ist. Mat. Univ. Trieste 55, Paper No. 3, 27 p. (2023). MSC: 34A05 34A34 37J35 × Cite Format Result Cite Review PDF Full Text: DOI Link