Nguyen Minh Tuan; Meesad, Phayung A bilinear neural network method for solving a generalized fractional (2+1)-dimensional Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation. (English) Zbl 07984839 Int. J. Theor. Phys. 64, No. 1, Paper No. 17, 25 p. (2025). MSC: 35Qxx 35Cxx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Hao-Dong; Tian, Bo; Chen, Yu-Qi; Cheng, Chong-Dong; Gao, Xiao-Tian; Shan, Hong-Wen Certain integrable properties and analytic solutions of a generalized variable-coefficient extended Korteweg-de Vries equation with an external-force term for a fluid or a cosmic plasma. (English) Zbl 07984834 Int. J. Theor. Phys. 64, No. 1, Paper No. 12, 20 p. (2025). MSC: 35Qxx 37Kxx 35Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Bustamante, Adrián P.; Celletti, Alessandra; Lhotka, Christoph The dynamics of the spin-spin problem in celestial mechanics. (English) Zbl 07984218 Commun. Nonlinear Sci. Numer. Simul. 142, Article ID 108548, 17 p. (2025). MSC: 70Fxx 70Hxx 70Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Huo, Jiangying; Bao, Taogetusang Integrability analysis of the generalized (2+1)-dimensional Hirota-Satsuma-Ito equation based on Bell polynomial method. (English) Zbl 07982363 Int. J. Theor. Phys. 64, No. 1, Paper No. 4, 21 p. (2025). MSC: 35Qxx 37Kxx 35Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Qin, Yupeng; Wang, Zhen; Zou, Li Qualitative analysis and analytical solution for higher-dimensional gas-filled hyper-spherical bubbles in an ideal fluid. (English) Zbl 07981988 Appl. Math. Lett. 162, Article ID 109392, 5 p. (2025). MSC: 76Txx 76Qxx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Deqin; Zhang, Yongshuai; Liu, Wei State transitions for the rational solutions of Kundu equation with non-zero boundary conditions. (English) Zbl 07981968 Appl. Math. Lett. 161, Article ID 109363, 7 p. (2025). MSC: 35Qxx 35Cxx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Dhahri, Mohammed Zerai; Jeribi, Aref; Mahfoudhi, Kamel Fredholm theory on Krein spaces and its application to pseudospectrum. (English) Zbl 07981520 Linear Multilinear Algebra 73, No. 3, 615-632 (2025). MSC: 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xue; Zeng, Shengda The stability of nonlinear Schrödinger equations on the \(d\)-dimensional torus. (English) Zbl 07980840 J. Math. Anal. Appl. 545, No. 2, Article ID 129152, 27 p. (2025). MSC: 37Kxx 35Qxx 35Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Yuan; Zhao, Liqin; Wang, Qiuyi The Poincaré bifurcation by perturbing a class of cubic Hamiltonian systems. (English) Zbl 07979611 Nonlinear Anal., Real World Appl. 82, Article ID 104246, 14 p. (2025). MSC: 34Cxx 37Jxx 37Gxx × Cite Format Result Cite Review PDF Full Text: DOI
Schulz, Erick; Wan, Andy T. S. Minimal \(\ell^2\) norm discrete multiplier method. (English) Zbl 07978280 J. Comput. Dyn. 12, No. 2, 212-238 (2025). MSC: 65L05 65L12 65P10 65Z05 37M05 37M15 37N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bandara, Ravindra I.; Giraldo, Andrus; Broderick, Neil G. R.; Krauskopf, Bernd Bifurcations of periodic orbits in the generalised nonlinear Schrödinger equation. (English) Zbl 07978279 J. Comput. Dyn. 12, No. 2, 178-211 (2025). MSC: 37J46 37G15 37G40 37M20 37N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Xuefeng Completely integrable system with Jacobi multipliers and its KAM stability. (English) Zbl 07978231 Discrete Contin. Dyn. Syst. 45, No. 6, 1870-1890 (2025). MSC: 37J06 37J35 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Goto, Shin-itiro; Hino, Hideitsu Fast symplectic integrator for Nesterov-type acceleration method. (English) Zbl 07975350 Japan J. Ind. Appl. Math. 42, No. 1, 331-372 (2025). MSC: 37-XX 70-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Sheng-Nan; Sheng, Han-Han; Yu, Guo-Fu Dynamics of the coupled (2+1)-dimensional Fokas system. (English) Zbl 07975304 Z. Angew. Math. Phys. 76, No. 1, Paper No. 32, 32 p. (2025). MSC: 35C08 35Q55 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Hongwei; Liu, Changjian; Xiong, Yanqin Study on limit cycles near homoclinic loops and heteroclinic loops with hyperbolic saddles. (English) Zbl 07975155 J. Differ. Equations 421, 50-72 (2025). MSC: 34C07 37C29 37G15 37M20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaoming; Li, Denghui; Liu, Xianbin Time-dependent billiards, variational method, and invariant tori. (English) Zbl 07972415 Nonlinearity 38, No. 2, Article ID 025003, 24 p., 24 p. (2025). MSC: 37J40 70F99 70H30 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Yingnan; Xue, Shuaishuai Quasi-periodic solutions of two dimensional completely resonant reversible Schrödinger \(d\) systems. (English) Zbl 07972323 Proc. Am. Math. Soc. 153, No. 2, 591-601 (2025). MSC: 37K55 35B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Yangyang; Han, Jie; Wang, Bin; Wang, Guanghui; Yang, Donglei Transversal Hamilton cycle in hypergraph systems. (English) Zbl 07972298 SIAM J. Discrete Math. 39, No. 1, 55-74 (2025). MSC: 05C45 05D15 05C35 05C65 05C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Ting; Llibre, Jaume Topological classification of some SD Hamiltonian systems. (English) Zbl 07971671 Differ. Equ. Dyn. Syst. 33, No. 1, 97-121 (2025). MSC: 34C07 34C08 × Cite Format Result Cite Review PDF Full Text: DOI
Maximov, Stepan Regular decompositions of finite root systems and simple Lie algebras. (English) Zbl 07971446 J. Algebra 665, 415-440 (2025). MSC: 17Bxx 37Kxx 22Exx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bae, Junsik; Moon, Sang-Hyuck; Woo, Kwan Emergence of peaked singularities in the Euler-Poisson system. (English) Zbl 07970521 J. Nonlinear Sci. 35, No. 1, Paper No. 25, 32 p. (2025). MSC: 35Q35 37K40 35A21 76N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
da Silva, Priscila Leal; Freire, Igor Leite; Filho, Nazime Sales An integrable pseudospherical equation with pseudo-peakon solutions. (English) Zbl 07968333 J. Differ. Equations 419, 291-323 (2025). MSC: 37Kxx 35Lxx 35Gxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Ashley R. Convergence from the discrete to the continuous non-linear Fourier transform. (English) Zbl 07968228 Trans. Am. Math. Soc. 378, No. 2, 1483-1501 (2025). MSC: 42B10 35P25 30Dxx 35P30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Visomirski, Matthew; Griffin, Christopher Integrability of generalised skew-symmetric replicator equations via graph embeddings. (English) Zbl 07967593 J. Phys. A, Math. Theor. 58, No. 1, Article ID 015701, 33 p. (2025). MSC: 37J35 05C20 05C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Minzhi; Dai, Yanfei; Zou, Rong Traveling waves in a generalized KdV equation with arbitrarily high-order nonlinearity and different distributed delays. (English) Zbl 07965216 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 22, 28 p. (2025). MSC: 34C05 34C23 34C37 34E15 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Novikov, Vladimir; Wang, Jing Ping Integrability of nonabelian differential-difference equations: the symmetry approach. (English) Zbl 07963930 Commun. Math. Phys. 406, No. 1, Paper No. 11, 38 p. (2025). MSC: 37Kxx 35Qxx 37Jxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Xiaohan; Hu, Jie; Yang, Donglei Compatible powers of Hamilton cycles in dense graphs. (English) Zbl 07962410 J. Graph Theory 108, No. 2, 257-273 (2025). MSC: 05C45 05C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yuan, Yu-Qiang; Luo, Xiang; Du, Zhong Resonant soliton interaction for the Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 07961488 Appl. Math. Lett. 160, Article ID 109348, 6 p. (2025). MSC: 35Qxx 37Kxx 35Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman New existence results for conjoined bases of singular linear Hamiltonian systems with given Sturmian properties. (English) Zbl 07960790 Linear Algebra Appl. 707, 187-224 (2025). MSC: 37Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaomei; Xu, Junxiang Lower-dimensional invariant tori for a class of degenerate reversible systems under small perturbations. (English) Zbl 07959342 Proc. Am. Math. Soc. 153, No. 1, 259-267 (2025). MSC: 37J40 37J25 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chen; Li, Yong The central limit theorems for integrable Hamiltonian systems perturbed by white noise. (English) Zbl 07957281 J. Differ. Equations 416, Part 1, 28-51 (2025). MSC: 60F05 60H20 60H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Guang-Mei; Song, Yu-Xin; Xing, Tian-Chi; Miao, Shu Nonlinear waves for a variable-coefficient modified Kadomtsev-Petviashvili system in plasma physics and electrodynamics. (English) Zbl 07955109 Commun. Theor. Phys. 77, No. 1, Article ID 015003, 12 p. (2025). MSC: 35Q51 76X05 37K35 76M60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jie-tong; Yu, Jun; Liu, Xi-zhong Residual symmetry and interactions between solitons and periodic waves of the Drinfeld-Sokolov-Satsuma-Hirota system. (English) Zbl 07955108 Commun. Theor. Phys. 77, No. 1, Article ID 015001, 10 p. (2025). MSC: 35Q51 35C08 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Duanzhi; Zhao, Zhihao Maslov-type \((L,P)\)-index and subharmonic \(P\)-symmetric brake solutions for Hamiltonian systems. (English) Zbl 07950084 J. Differ. Equations 415, 383-433 (2025). MSC: 70H05 37J06 × Cite Format Result Cite Review PDF Full Text: DOI
Esquivel, Liliana; Rivas, Ivonne A Riemann-Hilbert approach to the existence results for the Benjamin-Ono equation on a half-line. (English) Zbl 07947269 Nonlinear Anal., Real World Appl. 81, Article ID 104211, 15 p. (2025). MSC: 35Qxx 76Bxx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Sui, Shiyou; Zhang, Yongkang; Li, Baoyi Proof of two conjectures for perturbed piecewise linear Hamiltonian systems. (English) Zbl 07947260 Nonlinear Anal., Real World Appl. 81, Article ID 104195, 10 p. (2025). Reviewer: Paulo Santana (São José do Rio Preto) MSC: 34C07 34A36 34C23 34C37 34E10 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Killip, Rowan; Ouyang, Zhimeng; Visan, Monica; Wu, Lei The modified Korteweg-de Vries limit of the Ablowitz-Ladik system. (English) Zbl 07946854 Discrete Contin. Dyn. Syst. 45, No. 3, 821-846 (2025). MSC: 37K10 37K60 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Wenguang; Lin, Ji Persistence properties for a two-component \(b\)-family system with higher-order nonlinearity in weighted \(L^p\) spaces. (English) Zbl 07941015 J. Math. Anal. Appl. 542, No. 2, Article ID 128869, 10 p. (2025). MSC: 37K45 37K10 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Sui, Shiyou; Xu, Weijiao Bounding the number of limit cycles for perturbed piecewise linear Hamiltonian system. (English) Zbl 07941014 J. Math. Anal. Appl. 542, No. 2, Article ID 128866, 14 p. (2025). Reviewer: Xingwu Chen (Chengdu) MSC: 34C07 34A36 34A30 37J40 34C05 34C23 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Batkhin, Alexander; Petrov, Alexander Orthogonal-symplectic matrices and their parametric representation. (English) Zbl 07923131 J. Symb. Comput. 127, Article ID 102353, 13 p. (2025). Reviewer: Roksana Słowik (Gliwice) MSC: 15B10 15B30 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Baldomá, Inmaculada; Capiński, Maciej J.; Giralt, Mar; Guardia, Marcel Breakdown of homoclinic orbits to \(L_3\): nonvanishing of the Stokes constant. (English) Zbl 07906823 Discrete Contin. Dyn. Syst. 45, No. 1, 56-88 (2025). MSC: 70Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nicodemus, Jonas; Voigt, Matthias; Gugercin, Serkan; Unger, Benjamin KLAP: KYP lemma based low-rank approximation for \(\mathcal{H}_2\)-optimal passivation. arXiv:2501.05178 Preprint, arXiv:2501.05178 [math.OC] (2025). MSC: 37J06 37M99 65P10 93A30 93B30 93C05 × Cite Format Result Cite Full Text: arXiv
Ali, A. Z.; Kibkalo, V. A.; Kudryavtseva, E. A.; Onufrienko, M. V. Bifurcations in integrable Hamiltonian systems near corank-one singularities. (English) Zbl 07982979 Differ. Equ. 60, No. 10, 1311-1368 (2024). MSC: 37-XX 70-XX × Cite Format Result Cite Review PDF Full Text: DOI
Mackay, Robert S. Surfaces of locally minimal flux. (English) Zbl 07981184 Fathi, Albert (ed.) et al., Hamiltonian systems. Dynamics, analysis, applications. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 72, 215-228 (2024). MSC: 53Axx 35Jxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loebbert, Florian; Stawinski, Sven F. Conformal four-point integrals: recursive structure, Toda equations and double copy. (English) Zbl 07974970 J. High Energy Phys. 2024, No. 11, Paper No. 92, 52 p. (2024). MSC: 81Txx 37Kxx 81Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Gongtao; Pan, Guixia Optomechanically induced transparency in a multi-cavity system subjected to two-level atomic ensemble interference. (English) Zbl 07974617 Quantum Inf. Process. 23, No. 12, Paper No. 400, 13 p. (2024). MSC: 81P68 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Peng Persistence of invariant tori in infinite dimensional reversible systems. (Chinese. English summary) Zbl 07974362 Acta Math. Sin., Chin. Ser. 67, No. 6, 1207-1220 (2024). MSC: 37J40 37K55 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Neagu, Mircea; Ovsiyuk, Elena From Pikovsky-Rabinovich dynamical system to Lagrange-Hamilton geometrical objects. (English) Zbl 07973100 An. Univ. Vest Timiș., Ser. Mat.-Inform. 60, No. 1, 123-129 (2024). MSC: 53C60 37J05 70H40 × Cite Format Result Cite Review PDF Full Text: DOI
Beauville, Arnaud; Etesse, Antoine; Höring, Andreas; Liu, Jie; Voisin, Claire Symmetric tensors on the intersection of two quadrics and Lagrangian fibration. (English) Zbl 07969268 Moduli 1, Article ID e4, 19 p. (2024). MSC: 70H06 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khasanov, Muzaffar Masharidovich; Rakhimov, Ilkhom Davronbekovich; Azimov, Doniër Bakhrom ugli Integration of the loaded negative order nonlinear Schrödinger equation in the class of periodic functions. (Integration of the loaded negative order nonlinear Schrodinger equation in the class of periodic functions.) (English) Zbl 07967578 Izv. Irkutsk. Gos. Univ., Ser. Mat. 50, 51-65 (2024). MSC: 35Q55 35P25 35P30 35Q51 35Q53 37K15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tian, Hong-juan; Silem, A. Cauchy matrix approach to novel extended semidiscrete KP-type systems. (English. Russian original) Zbl 07967520 Theor. Math. Phys. 221, No. 2, 1929-1939 (2024); translation from Teor. Mat. Fiz. 221, No. 2, 385-396 (2024). MSC: 37K60 37K10 39A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rehman, Haseeb Ur; Feroze, Tooba Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms. (English) Zbl 07966121 Stud. Appl. Math. 153, No. 4, Article ID e12766, 14 p. (2024). MSC: 70H11 70H33 70H09 × Cite Format Result Cite Review PDF Full Text: DOI
Gérard, Patrick; Pushnitski, Alexander; Treil, Sergei An inverse spectral problem for non-compact Hankel operators with simple spectrum. (English) Zbl 07965873 J. Anal. Math. 154, No. 1, 333-400 (2024). MSC: 47Bxx 35Bxx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiao Fei; Wang, Fan Jing Symmetric brake orbits with minimal period of first-order anisotropic Hamiltonian systems. (English) Zbl 07965381 Acta Math. Sin., Engl. Ser. 40, No. 12, 3079-3092 (2024). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 70H05 70H12 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Feltrin, Guglielmo; Fonda, Alessandro; Sfecci, Andrea A Poincaré-Birkhoff theorem for multivalued successor maps with applications to periodic superlinear Hamiltonian systems. (English) Zbl 07962341 J. Fixed Point Theory Appl. 26, No. 4, Paper No. 61, 22 p. (2024). MSC: 37-XX 37J46 34C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goliński, Tomasz; Tumpach, Alice Barbora Geometry of integrable systems related to the restricted Grassmannian. (English) Zbl 07962308 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 104, 18 p. (2024). MSC: 70H06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koch, Herbert; Tataru, Daniel Multisolitons for the cubic NLS in 1-d and their stability. (English) Zbl 07962136 Publ. Math., Inst. Hautes Étud. Sci. 140, 155-270 (2024). MSC: 35Qxx 37Kxx 35Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdullaev, J. I.; Ergashova, Sh. H. Eigenvalues of the Schrödinger operator corresponding to a system of three fermions on a one dimensional lattice. (English) Zbl 07961753 Lobachevskii J. Math. 45, No. 8, 3821-3834 (2024). MSC: 81Qxx 70Fxx 35Pxx × Cite Format Result Cite Review PDF Full Text: DOI
Shamolin, M. V. Integrability of dynamic equations of generalized four-dimensional pendulum motion. (English) Zbl 07961748 Lobachevskii J. Math. 45, No. 8, 3737-3759 (2024). MSC: 37Jxx 70Hxx 37Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Blot, Xavier; Buryak, Alexandr Quantum intersection numbers and the Gromov-Witten invariants of \(\mathbb{CP}^1\). (English) Zbl 07960209 Lett. Math. Phys. 114, No. 6, Paper No. 131, 21 p. (2024). MSC: 14H10 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Shi-Lei; Song, Chuan-Jing Noether theorem for non-standard Lagrangian system under generalized fractional operators. (Chinese. English summary) Zbl 07959392 Acta Math. Appl. Sin. 47, No. 4, 531-548 (2024). MSC: 70H33 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Batkhin, Alexander; Khaydarov, Zafar Resonances and formal stability investigation in Hamiltonian systems. (English) Zbl 07958988 Math. Comput. Sci. 18, No. 4, Paper No. 22, 21 p. (2024). MSC: 37J25 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Yaru; Geng, Xianguo; Zhai, Yunyun Riemann theta function solutions to the semi-discrete Boussinesq equations. (English) Zbl 07955358 Physica D 470, Part A, Article ID 134398, 10 p. (2024). MSC: 37Kxx 14Hxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jiahe; Liu, Qihuai Sufficient and necessary conditions for self-similar motions of three point vortices in generalized fluid systems. (English) Zbl 07955352 Physica D 470, Part A, Article ID 134392, 11 p. (2024). MSC: 76B47 × Cite Format Result Cite Review PDF Full Text: DOI
Afsar, Ozgur; Tirnakli, Ugur Energy distributions of Frenkel-Kontorova-type atomic chains: transition from conservative to dissipative dynamics. (English) Zbl 07955337 Physica D 470, Part A, Article ID 134375, 8 p. (2024). MSC: 82-XX 37Kxx 37Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Choudhary, Neelam; Gillis, Nicolas; Sharma, Punit Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach. (English) Zbl 07955129 Linear Multilinear Algebra 72, No. 17, 2984-2999 (2024). MSC: 93Bxx 93Dxx 93Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Wenjing; Zhang, Yi; Yang, Xiaolin Riemann-Hilbert approach and multiple high-order pole solutions for the AB system. (English) Zbl 07955077 Commun. Theor. Phys. 76, No. 11, Article ID 115004, 9 p. (2024). MSC: 35Q15 35Q51 37K20 × Cite Format Result Cite Review PDF Full Text: DOI
Gasiorek, Sean; Radnović, Milena Periodic trajectories and topology of the integrable Boltzmann system. (English) Zbl 07954885 Filipuk, Galina (ed.), Recent progress in special functions. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 807, 111-130 (2024). MSC: 37J35 37J39 37J46 37C79 37C83 70G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Babajanov, B. A.; Abdikarimov, F. B.; Sulaymonov, F. U. On the integration of the hierarchy of the Kaup-Boussinesq system with a self-consistent source. (English) Zbl 07954507 Lobachevskii J. Math. 45, No. 7, 3233-3245 (2024). MSC: 35Q55 35Q35 35Q53 35C08 37K10 37K15 76B25 35P25 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Khakimova, A. R. Darboux-integrable reductions of the Hirota-Miwa type discrete equations. (English) Zbl 07954459 Lobachevskii J. Math. 45, No. 6, 2717-2728 (2024). MSC: 37Kxx 35Axx 82Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Phatangare, Nanasaheb; Masalkar, Krishnat; Kendre, Subhash Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle. (English) Zbl 07954334 J. Difference Equ. Appl. 30, No. 12, 1900-1922 (2024). MSC: 37G05 37G10 37G15 37E05 37G35 37H20 37J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
González, Jorge A.; Bellorín, Alberto; Guerrero, Luis E.; Jiménez, Salvador; Marín, Juan F. Highly-enhanced propagation of long-range kinks in heterogeneous media. (English) Zbl 07952971 J. High Energy Phys. 2024, No. 10, Paper No. 42, 49 p. (2024). MSC: 35Qxx 81Txx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Zhi-Jia; Tian, Shou-Fu Nonlinear stability of smooth multi-solitons for the Dullin-Gottwald-Holm equation. (English) Zbl 07950699 J. Differ. Equations 412, 408-446 (2024). MSC: 35Q53 35Q51 37K45 37K10 37K15 37K35 35C08 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Shamolin, M. V. New cases of integrable ninth-order conservative and dissipative dynamical systems. (English) Zbl 07950004 Dokl. Math. 110, No. 1, 337-345 (2024). MSC: 37Jxx 70Hxx 37Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Petrov, A. G. On tautochronic motions. (English) Zbl 07950000 Dokl. Math. 110, No. 1, 312-317 (2024). MSC: 70H05 70H12 70K45 × Cite Format Result Cite Review PDF Full Text: DOI
Reis, Timo; Schaller, Manuel Port-Hamiltonian formulation of Oseen flows. (English) Zbl 07949842 Schwenninger, Felix L. (ed.) et al., Systems theory and PDEs. Open problems, recent results, and new directions. Based on the first workshop on systems theory and PDEs, WOSTAP, Freiberg, Germany, July 2022. Cham: Birkhäuser. Trends Math., 123-148 (2024). Reviewer: Raquel Taboada-Vázquez (A Coruña) MSC: 35Q35 76D07 37K06 93B07 93C20 35R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Llibre, Jaume; Salhi, Tayeb Planar quadratic differential systems with invariants of the form \(ax^2+bxy+cy^2+dx+ey+c_1t\). (English) Zbl 07948571 Bull. Iran. Math. Soc. 50, No. 4, Paper No. 49, 16 p. (2024). MSC: 34C05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jie; Shan, Yuan; Wang, Jing Reducibility of three dimensional skew symmetric system with high dimensional weak Liouvillean frequencies. (English) Zbl 07946953 Acta Math. Sin., Engl. Ser. 40, No. 10, 2388-2410 (2024). MSC: 37J40 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Fleischner, Herbert; Gh, Behrooz Bagheri; Klocker, Benedikt Perfect pseudo-matchings in cubic graphs. (English) Zbl 07946944 Graphs Comb. 40, No. 6, Paper No. 118, 17 p. (2024). MSC: 05C70 05C10 05C38 05C40 05C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kamel, Alwaleed; Louati, Hanen Yossef; Aldwoah, Khaled; Alqarni, Faez; Almalahi, Mohammed; Hleili, Manel Stochastic analysis and soliton solutions of the Chaffee-Infante equation in nonlinear optical media. (English) Zbl 07946134 Bound. Value Probl. 2024, Paper No. 119, 14 p. (2024). MSC: 35Qxx 37Kxx 35Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Xing, Xiumei; Wang, Haiyan; Lai, Shaoyong Boundedness of solutions to a second-order periodic system with \(p\)-Laplacian and unbounded perturbation terms. (English) Zbl 07946118 Bound. Value Probl. 2024, Paper No. 103, 13 p. (2024). MSC: 34C55 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yushi; Xu, Dian; Chu, Jinkui; Gong, Guangping; Chen, Yiming; Li, Rui New analytic free vibration solutions of L-shaped moderately thick plates by symplectic superposition. (English) Zbl 07945961 Int. J. Struct. Stab. Dyn. 24, No. 23, Article ID 2450257, 45 p. (2024). MSC: 74K20 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
Palshin, Gleb P. Topology of the Liouville foliation in the generalized constrained three-vortex problem. (English. Russian original) Zbl 07945690 Sb. Math. 215, No. 5, 667-702 (2024); translation from Mat. Sb. 215, No. 5, 106-145 (2024). MSC: 37J35 37J39 37J20 37J40 53D05 53D20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Hoitmetov, U. A.; Khasanov, T. G. Integration of the Korteweg-de Vries equation with time-dependent coefficients in the case of moving eigenvalues of the Sturm-Liouville operator. (English. Russian original) Zbl 07944482 Russ. Math. 68, No. 5, 51-65 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 5, 63-78 (2024). MSC: 35Q30 76D05 37Kxx 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Bibikov, Yu. N.; Vasil’eva, E. V. Periodic perturbations of oscillators on a plane. (English. Russian original) Zbl 07944432 Vestn. St. Petersbg. Univ., Math. 57, No. 1, 23-29 (2024); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 11(69), No. 1, 38-47 (2024). MSC: 34-02 34C15 34D10 34D20 37J40 34C27 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Contributions to generalized oscillation theory of linear Hamiltonian systems. (English) Zbl 07941059 Result. Math. 79, No. 8, Paper No. 263, 47 p. (2024). MSC: 34C10 34A30 37J99 × Cite Format Result Cite Review PDF Full Text: DOI
Hassainia, Zineb; Hmidi, Taoufik; Roulley, Emeric Invariant KAM tori around annular vortex patches for 2D Euler equations. (English) Zbl 07940041 Commun. Math. Phys. 405, No. 11, Paper No. 270, 127 p. (2024). MSC: 35Q31 76B47 76U60 76E07 86A05 37J40 37K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fring, Andreas; Taira, Takano; Turner, Bethan Nonlinear evolution of disturbances in higher time-derivative theories. (English) Zbl 07939694 J. High Energy Phys. 2024, No. 9, Paper No. 199, 19 p. (2024). MSC: 81Txx 35Qxx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Kimyeong; Lee, Norton Dimers for type D relativistic Toda model. (English) Zbl 07939693 J. High Energy Phys. 2024, No. 9, Paper No. 198, 33 p. (2024). MSC: 81Txx 37Kxx 81Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fordy, Allan P. Scaling symmetry reductions of coupled KdV systems. (English) Zbl 07939486 J. Phys. A, Math. Theor. 57, No. 45, Article ID 455205, 15 p. (2024). MSC: 35Q53 37-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Qi; Shao, Jing Lyapunov type inequalities for nonlinear fractional Hamiltonian systems in the frame of conformable derivatives. (English) Zbl 07939108 Math. Found. Comput. 7, No. 3, 284-296 (2024). MSC: 34A08 34B15 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Pavlov, M. V. Compatible pairs of Dubrovin-Novikov Poisson brackets and Lagrangian representations of integrable hierarchies. (English. Russian original) Zbl 07939071 Proc. Steklov Inst. Math. 325, 224-229 (2024); translation from Tr. Mat. Inst. Steklova 325, 238-243 (2024). MSC: 35F50 35L65 35Q53 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Buryak, A. Yu. DR hierarchies: from the moduli spaces of curves to integrable systems. (English. Russian original) Zbl 1548.14092 Proc. Steklov Inst. Math. 325, 21-59 (2024); translation from Tr. Mat. Inst. Steklova 325, 26-66 (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H10 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Guowei Regularizable collinear periodic solutions in the \(n\)-body problem with arbitrary masses. (English) Zbl 07939029 Adv. Math. 457, Article ID 109947, 17 p. (2024). MSC: 70Fxx 37Jxx 70Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuxia; Wu, Shengyu Periodic solution for critical Hamiltonian systems in a strip. (English) Zbl 07938851 J. Differ. Equations 411, 268-314 (2024). MSC: 35J47 35J61 35B10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Shuo Fast-oscillating random perturbations of Hamiltonian systems. (English) Zbl 07938783 Probab. Theory Relat. Fields 190, No. 3-4, 1199-1260 (2024). MSC: 37J40 70K65 70K70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xi, Xiaojian; Hu, Weipeng; Tang, Bo; Deng, Pingwei; Qiao, Zhijun Multi-symplectic method for the two-component Camassa-Holm (2CH) system. (English) Zbl 07938328 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 50, 15 p. (2024). MSC: 37K06 37K10 37K40 37M15 35C08 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Tuniyants, D. A. Topology of isoenergy surfaces of billiard books glued of annuli. (English. Russian original) Zbl 07938317 Mosc. Univ. Math. Bull. 79, No. 3, 130-141 (2024); translation from Vestn. Mosk. Univ., Ser. I 79, No. 3, 26-35 (2024). MSC: 37J39 37J35 37C83 × Cite Format Result Cite Review PDF Full Text: DOI
Turina, K. E. Topological invariants of some ordered billiard games. (English. Russian original) Zbl 07938316 Mosc. Univ. Math. Bull. 79, No. 3, 122-129 (2024); translation from Vestn. Mosk. Univ., Ser. I 79, No. 3, 19-25 (2024). MSC: 37J39 37J35 37C83 × Cite Format Result Cite Review PDF Full Text: DOI
Bogdanov, L. V. On some linear equations associated with dispersionless integrable systems. (English. Russian original) Zbl 1548.37098 Theor. Math. Phys. 221, No. 1, 1589-1602 (2024); translation from Teor. Mat. Fiz. 221, No. 1, 3-17 (2024). MSC: 37K10 37K30 37K25 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv