Dudnikova, T. V. Stabilization of the statistical solutions for large times for a harmonic lattice coupled to a Klein-Gordon field. (English. Russian original) Zbl 07825100 Theor. Math. Phys. 218, No. 2, 241-263 (2024); translation from Teor. Mat. Fiz. 218, No. 2, 280-305 (2024). MSC: 35Q60 35R60 60H15 37K40 37K60 37K45 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Theor. Math. Phys. 218, No. 2, 241--263 (2024; Zbl 07825100); translation from Teor. Mat. Fiz. 218, No. 2, 280--305 (2024) 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: 11T55 37J15 81R12 PDFBibTeX XMLCite \textit{A. Gorsky} and \textit{A. Varchenko}, Lett. Math. Phys. 114, No. 2, Paper No. 44, 27 p. (2024; Zbl 07821447) 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 PDFBibTeX XMLCite \textit{M. Kan} et al., J. Difference Equ. Appl. 30, No. 2, 233--251 (2024; Zbl 07820961) Full Text: DOI OA License
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: 35B10 35B44 35Q55 37K10 PDFBibTeX XMLCite \textit{J. Jaquette}, J. Dyn. Differ. Equations 36, No. 1, 1--25 (2024; Zbl 07818452) Full Text: DOI arXiv
Norton, Trevor; Wayne, C. Eugene Long-time approximations of small-amplitude, long-wavelength FPUT solutions. (English) Zbl 07818410 Discrete Contin. Dyn. Syst. 44, No. 4, 905-928 (2024). MSC: 37K60 37K40 35Q53 PDFBibTeX XMLCite \textit{T. Norton} and \textit{C. E. Wayne}, Discrete Contin. Dyn. Syst. 44, No. 4, 905--928 (2024; Zbl 07818410) Full Text: DOI arXiv
Alonso, Ricardo; Čolić, Milana Integrability propagation for a Boltzmann system describing polyatomic gas mixtures. (English) Zbl 07817068 SIAM J. Math. Anal. 56, No. 1, 1459-1494 (2024). MSC: 35Q20 76P05 76N15 76T30 82C40 37K10 PDFBibTeX XMLCite \textit{R. Alonso} and \textit{M. Čolić}, SIAM J. Math. Anal. 56, No. 1, 1459--1494 (2024; Zbl 07817068) Full Text: DOI arXiv
Chauleur, Quentin Growth of Sobolev norms and strong convergence for the discrete nonlinear Schrödinger equation. (English) Zbl 07816737 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113517, 20 p. (2024). MSC: 35Q55 35Q41 37K60 35J05 39A12 PDFBibTeX XMLCite \textit{Q. Chauleur}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113517, 20 p. (2024; Zbl 07816737) Full Text: DOI arXiv
Garban, Christophe; Sepúlveda, Avelio Statistical reconstruction of the GFF and KT transition. (English) Zbl 07815223 J. Eur. Math. Soc. (JEMS) 26, No. 2, 639-694 (2024). MSC: 82B26 82B44 82B20 60K35 37K10 35Q53 PDFBibTeX XMLCite \textit{C. Garban} and \textit{A. Sepúlveda}, J. Eur. Math. Soc. (JEMS) 26, No. 2, 639--694 (2024; Zbl 07815223) Full Text: DOI arXiv
Frenkel, Edward; Koroteev, Peter; Sage, Daniel S.; Zeitlin, Anton M. \(q\)-opers, \(QQ\)-systems, and Bethe Ansatz. (English) Zbl 07815184 J. Eur. Math. Soc. (JEMS) 26, No. 1, 355-405 (2024). MSC: 82B23 82D40 17B80 14D24 81R50 22E10 39A06 37K35 PDFBibTeX XMLCite \textit{E. Frenkel} et al., J. Eur. Math. Soc. (JEMS) 26, No. 1, 355--405 (2024; Zbl 07815184) Full Text: DOI arXiv
Ju, Luman; Xu, Kai; Fan, Engui Long-time asymptotics of the Hunter-Saxton equation on the line. (English) Zbl 07815134 J. Differ. Equations 390, 451-493 (2024). MSC: 35Q51 35Q15 35C20 35P25 35B40 41A60 35C08 37K10 37K15 37K35 PDFBibTeX XMLCite \textit{L. Ju} et al., J. Differ. Equations 390, 451--493 (2024; Zbl 07815134) Full Text: DOI arXiv
Konopelchenko, B. G.; Ortenzi, G. On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation. (English) Zbl 07813330 J. Phys. A, Math. Theor. 57, No. 8, Article ID 085701, 32 p. (2024). MSC: 35Q31 76B03 37K10 35A21 35B44 PDFBibTeX XMLCite \textit{B. G. Konopelchenko} and \textit{G. Ortenzi}, J. Phys. A, Math. Theor. 57, No. 8, Article ID 085701, 32 p. (2024; Zbl 07813330) Full Text: DOI
Iliev, Plamen Higher-order heat equation and the Gelfand-Dickey hierarchy. (English) Zbl 07813039 Bull. Sci. Math. 191, Article ID 103399, 39 p. (2024). MSC: 37K10 14H70 35K30 58J72 PDFBibTeX XMLCite \textit{P. Iliev}, Bull. Sci. Math. 191, Article ID 103399, 39 p. (2024; Zbl 07813039) Full Text: DOI arXiv
Song, Caiqin; Zhao, Hai-qiong; Zhu, Zuo-nong Nonlocal Yajima-Oikawa system: binary Darboux transformation, exact solutions and dynamic properties. (English) Zbl 07812534 Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024). MSC: 35Q55 35Q41 35Q51 35C08 37K10 37K15 37K35 35B34 35C05 PDFBibTeX XMLCite \textit{C. Song} et al., Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024; Zbl 07812534) Full Text: DOI
Graffeo, Michele; Gubbiotti, Giorgio Growth and integrability of some birational maps in dimension three. (English) Zbl 07812083 Ann. Henri Poincaré 25, No. 3, 1733-1793 (2024). MSC: 14H70 14E07 14E15 39A36 PDFBibTeX XMLCite \textit{M. Graffeo} and \textit{G. Gubbiotti}, Ann. Henri Poincaré 25, No. 3, 1733--1793 (2024; Zbl 07812083) Full Text: DOI arXiv OA License
Li, Siyu; Marquette, Ian; Zhang, Yao-Zhong Bethe ansatz solutions and hidden \(sl(2)\) algebraic structure for a class of quasi-exactly solvable systems. (English) Zbl 07810397 Ann. Phys. 462, Article ID 169595, 24 p. (2024). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{S. Li} et al., Ann. Phys. 462, Article ID 169595, 24 p. (2024; Zbl 07810397) Full Text: DOI arXiv
Yang, Xiangyu; Wang, Zhen; Zhang, Zhao Solitons and lump waves to the elliptic cylindrical Kadomtsev-Petviashvili equation. (English) Zbl 07810035 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107837, 17 p. (2024). MSC: 35Q35 35Q31 76B15 76B25 35C08 37K10 37K35 35B40 35B34 35R35 PDFBibTeX XMLCite \textit{X. Yang} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107837, 17 p. (2024; Zbl 07810035) Full Text: DOI
Delduc, F.; Hoare, B.; Magro, M. Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories. (English) Zbl 07809978 J. Phys. A, Math. Theor. 57, No. 6, Article ID 065401, 39 p. (2024). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{F. Delduc} et al., J. Phys. A, Math. Theor. 57, No. 6, Article ID 065401, 39 p. (2024; Zbl 07809978) Full Text: DOI arXiv OA License
Guo, Yuli; Zhang, Weiguo; Li, Xiang Exact periodic wave solutions of the cubic-quintic Zakharov equation and their evolution with Hamilton energy. (English) Zbl 07809974 J. Phys. A, Math. Theor. 57, No. 6, Article ID 065205, 46 p. (2024). MSC: 35C05 35C07 35C08 35Q51 PDFBibTeX XMLCite \textit{Y. Guo} et al., J. Phys. A, Math. Theor. 57, No. 6, Article ID 065205, 46 p. (2024; Zbl 07809974) Full Text: DOI OA License
Liu, Cong; Xu, Jian On the linearizable initial-boundary value problems for the Sasa-Satsuma equation on the half-line. (English) Zbl 07809649 Appl. Math. Lett. 150, Article ID 108941, 5 p. (2024). MSC: 35Q15 35Q53 37K10 37K35 35A01 35A02 PDFBibTeX XMLCite \textit{C. Liu} and \textit{J. Xu}, Appl. Math. Lett. 150, Article ID 108941, 5 p. (2024; Zbl 07809649) Full Text: DOI
Pinet, Théo A functor for constructing \(R\)-matrices in the category \(\mathcal{O}\) of Borel quantum loop algebras. (English) Zbl 07808988 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12815, 46 p. (2024). MSC: 13F60 16D90 16T25 17B37 82B23 17B67 17B80 18A22 18M15 81R10 PDFBibTeX XMLCite \textit{T. Pinet}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12815, 46 p. (2024; Zbl 07808988) Full Text: DOI arXiv OA License
Zhou, Ruguang; Yu, Zilong Integrable reductions of the multi-component Kaup-Newell equations. (English) Zbl 07808494 Physica D 458, Article ID 134011, 5 p. (2024). MSC: 37Kxx 35Qxx 35Pxx PDFBibTeX XMLCite \textit{R. Zhou} and \textit{Z. Yu}, Physica D 458, Article ID 134011, 5 p. (2024; Zbl 07808494) Full Text: DOI
Zhao, Qiulan; Li, Caixue; Li, Xinyue Quasi-periodic solutions of a discrete integrable equation with a finite-dimensional integrable symplectic structure. (English) Zbl 07808483 Physica D 458, Article ID 133992, 19 p. (2024). MSC: 37Kxx 35Qxx 37Jxx PDFBibTeX XMLCite \textit{Q. Zhao} et al., Physica D 458, Article ID 133992, 19 p. (2024; Zbl 07808483) Full Text: DOI
Cao, Yulei; He, Jingsong; Cheng, Yi The partial-rogue ripple solutions of nonlocal Kadomtsev-Petviashvili equation. (English) Zbl 07808481 Physica D 458, Article ID 133990, 14 p. (2024). MSC: 35Q53 35C08 37K10 15A15 76B25 PDFBibTeX XMLCite \textit{Y. Cao} et al., Physica D 458, Article ID 133990, 14 p. (2024; Zbl 07808481) Full Text: DOI
An, Ling; Ling, Liming; Zhang, Xiaoen Inverse scattering transform for the integrable fractional derivative nonlinear Schrödinger equation. (English) Zbl 07808473 Physica D 458, Article ID 133888, 18 p. (2024). MSC: 35Q55 35Q41 35Q15 35C08 35C99 37K15 37K10 26A33 35R11 PDFBibTeX XMLCite \textit{L. An} et al., Physica D 458, Article ID 133888, 18 p. (2024; Zbl 07808473) Full Text: DOI arXiv
Ling, Liming; Zhang, Xiaoen Large and infinite-order solitons of the coupled nonlinear Schrödinger equation. (English) Zbl 07808035 Physica D 457, Article ID 133981, 43 p. (2024). MSC: 35Q55 35Q41 35Q15 35C08 35B40 37K10 37K35 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Zhang}, Physica D 457, Article ID 133981, 43 p. (2024; Zbl 07808035) Full Text: DOI arXiv
Sheng, Han-Han; Shen, Bo-Jian; Yu, Guo-Fu; Jin, Ze-Lin The two-dimensional Leznov lattice equation and its various solutions. (English) Zbl 07808020 Physica D 457, Article ID 133958, 14 p. (2024). MSC: 35Q51 35C08 37K10 37K40 37K35 37K60 35B40 PDFBibTeX XMLCite \textit{H.-H. Sheng} et al., Physica D 457, Article ID 133958, 14 p. (2024; Zbl 07808020) Full Text: DOI
Hu, Haiyan; Yu, Jing; Dai, Shengdan; Han, Jingwei The Bargmann symmetry constraint of the new super Dirac hierarchy. (English) Zbl 07808008 Physica D 457, Article ID 133939, 10 p. (2024). MSC: 35Q41 37K10 37K35 17B80 49M41 35B53 PDFBibTeX XMLCite \textit{H. Hu} et al., Physica D 457, Article ID 133939, 10 p. (2024; Zbl 07808008) Full Text: DOI
Zeitlin, Anton M. On Wronskians and \(qq\)-systems. (English) Zbl 07807659 Im, Mee Seong (ed.) et al., Algebraic and topological aspects of representation theory. Virtual AMS special session on geometric and algebraic aspects of quantum groups and related topics, virtual, November 20–21, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 791, 91-103 (2024). MSC: 82B23 14D24 13F60 81R12 PDFBibTeX XMLCite \textit{A. M. Zeitlin}, Contemp. Math. 791, 91--103 (2024; Zbl 07807659) Full Text: DOI arXiv
Claeys, Tom; Tarricone, Sofia On the integrable structure of deformed sine kernel determinants. (English) Zbl 07806434 Math. Phys. Anal. Geom. 27, No. 1, Paper No. 3, 35 p. (2024). MSC: 35Q15 35Q40 35Q53 81V74 37K10 37K15 35P25 35R09 33E17 34M55 PDFBibTeX XMLCite \textit{T. Claeys} and \textit{S. Tarricone}, Math. Phys. Anal. Geom. 27, No. 1, Paper No. 3, 35 p. (2024; Zbl 07806434) Full Text: DOI arXiv
Zabrodin, A. Tau-function of the multi-component CKP hierarchy. (English) Zbl 07806432 Math. Phys. Anal. Geom. 27, No. 1, Paper No. 1, 18 p. (2024). MSC: 37K10 35-XX PDFBibTeX XMLCite \textit{A. Zabrodin}, Math. Phys. Anal. Geom. 27, No. 1, Paper No. 1, 18 p. (2024; Zbl 07806432) Full Text: DOI arXiv
White, Lewis C.; Hydon, Peter E. Moving frames: difference and differential-difference Lagrangians. (English) Zbl 07803229 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 006, 29 p. (2024). MSC: 39A14 39A36 58D19 47E07 PDFBibTeX XMLCite \textit{L. C. White} and \textit{P. E. Hydon}, SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 006, 29 p. (2024; Zbl 07803229) Full Text: arXiv Link
Barraquand, Guillaume; Corwin, Ivan Markov duality and Bethe ansatz formula for half-line open ASEP. (English) Zbl 07803198 Probab. Math. Phys. 5, No. 1, 89-129 (2024). MSC: 60J27 82B23 82C22 60H15 PDFBibTeX XMLCite \textit{G. Barraquand} and \textit{I. Corwin}, Probab. Math. Phys. 5, No. 1, 89--129 (2024; Zbl 07803198) Full Text: DOI arXiv
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: 35Q58 35Q53 PDFBibTeX XMLCite \textit{X. Wang} and \textit{S. Tian}, Acta Math. Appl. Sin. 47, No. 1, 124--138 (2024; Zbl 07802107) Full Text: Link
Lei, Ling; Tian, Shou-Fu The \(\overline{\partial}\)-dressing method and soliton solutions for the reverse space-time nonlocal Sasa-Satsuma equation. (English) Zbl 07802030 J. Math. Anal. Appl. 534, No. 1, Article ID 128127, 11 p. (2024). MSC: 35Q55 35Q41 35C08 82D40 78A60 37K10 37K35 35P25 PDFBibTeX XMLCite \textit{L. Lei} and \textit{S.-F. Tian}, J. Math. Anal. Appl. 534, No. 1, Article ID 128127, 11 p. (2024; Zbl 07802030) Full Text: DOI
Li, Shangshuai; Zhang, Da-jun Cauchy matrix structure and solutions of the spin-1 Gross-Pitaevskii equations. (English) Zbl 07801783 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107705, 14 p. (2024). MSC: 35Q55 35Q41 37K10 82C10 82C26 35C08 PDFBibTeX XMLCite \textit{S. Li} and \textit{D.-j. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107705, 14 p. (2024; Zbl 07801783) Full Text: DOI
Hateruma, Yudai; Kaneko, Yoshiki On some Lie-theoretic solutions of the \(\mathrm{tt}^*\)-Toda equations with integer Stokes data. (English) Zbl 07800690 J. Phys. A, Math. Theor. 57, No. 4, Article ID 045202, 26 p. (2024). MSC: 35Q40 81T40 81T60 58Z05 37K10 17B81 PDFBibTeX XMLCite \textit{Y. Hateruma} and \textit{Y. Kaneko}, J. Phys. A, Math. Theor. 57, No. 4, Article ID 045202, 26 p. (2024; Zbl 07800690) Full Text: DOI
Fordy, Allan P.; Huang, Qing Stationary coupled KdV hierarchies and related Poisson structures. (English) Zbl 07799731 J. Geom. Phys. 197, Article ID 105079, 25 p. (2024). MSC: 35Q53 37J37 70H06 PDFBibTeX XMLCite \textit{A. P. Fordy} and \textit{Q. Huang}, J. Geom. Phys. 197, Article ID 105079, 25 p. (2024; Zbl 07799731) Full Text: DOI arXiv
Doikou, Anastasia; Rybołowicz, Bernard Near braces and \(p\)-deformed braided groups. (English) Zbl 07798501 Bull. Lond. Math. Soc. 56, No. 1, 124-139 (2024). MSC: 16T25 16Y99 81R12 PDFBibTeX XMLCite \textit{A. Doikou} and \textit{B. Rybołowicz}, Bull. Lond. Math. Soc. 56, No. 1, 124--139 (2024; Zbl 07798501) Full Text: DOI arXiv OA License
Caudrelier, Vincent; Stoppato, Matteo; Vicedo, Benoît Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies. (English) Zbl 07798464 Commun. Math. Phys. 405, No. 1, Paper No. 12, 67 p. (2024). MSC: 37K10 37K58 37K30 16T25 PDFBibTeX XMLCite \textit{V. Caudrelier} et al., Commun. Math. Phys. 405, No. 1, Paper No. 12, 67 p. (2024; Zbl 07798464) Full Text: DOI arXiv OA License
Herr, Sebastian; Sanwal, Akansha; Schippa, Robert Low regularity well-posedness of KP-I equations: the three-dimensional case. (English) Zbl 07796925 J. Funct. Anal. 286, No. 4, Article ID 110292, 59 p. (2024). MSC: 35Q51 35S30 37K10 PDFBibTeX XMLCite \textit{S. Herr} et al., J. Funct. Anal. 286, No. 4, Article ID 110292, 59 p. (2024; Zbl 07796925) Full Text: DOI arXiv
Enciso, Alberto; Peralta-Salas, Daniel; Romaniega, Álvaro Non-integrability and chaos for natural Hamiltonian systems with a random potential. (English) Zbl 07794575 Adv. Math. 437, Article ID 109448, 30 p. (2024). MSC: 37J35 37J30 60H10 34F05 PDFBibTeX XMLCite \textit{A. Enciso} et al., Adv. Math. 437, Article ID 109448, 30 p. (2024; Zbl 07794575) 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: 35Q51 37K10 PDFBibTeX XMLCite \textit{Y.-Y. Li} and \textit{Z.-X. Zhou}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107792, 21 p. (2024; Zbl 07793593) Full Text: DOI
Wang, Sheng-Nan; Yu, Guo-Fu Rational and semi-rational solutions to the nonlocal Davey-Stewartson III equation. (English) Zbl 07793553 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107739, 15 p. (2024). MSC: 35Q55 35Q41 37K10 35C08 35R09 PDFBibTeX XMLCite \textit{S.-N. Wang} and \textit{G.-F. Yu}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107739, 15 p. (2024; Zbl 07793553) Full Text: DOI
Motonaga, Shoya; Yagasaki, Kazuyuki Nonintegrability of forced nonlinear oscillators. (English) Zbl 07791025 Japan J. Ind. Appl. Math. 41, No. 1, 151-164 (2024). MSC: 37J30 37J35 34C15 34E10 37J40 34A05 37C27 34C25 37C29 34C37 PDFBibTeX XMLCite \textit{S. Motonaga} and \textit{K. Yagasaki}, Japan J. Ind. Appl. Math. 41, No. 1, 151--164 (2024; Zbl 07791025) Full Text: DOI arXiv
Masuda, Tetsu On additional symmetry and bilinearization of the \(q\)-Painlevé systems associated with the affine Weyl group of type \(A\). (English) Zbl 07790340 Lett. Math. Phys. 114, No. 1, Paper No. 9, 27 p. (2024). MSC: 17B80 34M55 37K35 39A13 PDFBibTeX XMLCite \textit{T. Masuda}, Lett. Math. Phys. 114, No. 1, Paper No. 9, 27 p. (2024; Zbl 07790340) Full Text: DOI
Charbonnier, Séverin; Chidambaram, Nitin Kumar; Garcia-Failde, Elba; Giacchetto, Alessandro Shifted Witten classes and topological recursion. (English) Zbl 07789109 Trans. Am. Math. Soc. 377, No. 2, 1069-1110 (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H10 14H70 81R10 34E05 PDFBibTeX XMLCite \textit{S. Charbonnier} et al., Trans. Am. Math. Soc. 377, No. 2, 1069--1110 (2024; Zbl 07789109) Full Text: DOI arXiv
Coppini, F.; Grinevich, P. G.; Santini, P. M. The periodic \(N\) breather anomalous wave solution of the Davey-Stewartson equations; first appearance, recurrence, and blow up properties. (English) Zbl 07787473 J. Phys. A, Math. Theor. 57, No. 1, Article ID 015208, 26 p. (2024). MSC: 35C08 35Q51 35Q55 37K10 PDFBibTeX XMLCite \textit{F. Coppini} et al., J. Phys. A, Math. Theor. 57, No. 1, Article ID 015208, 26 p. (2024; Zbl 07787473) Full Text: DOI arXiv OA License
Habibullin, I. T.; Faizulina, K. I.; Khakimova, A. R. Laplace transformations and sine-Gordon type integrable PDE. (English) Zbl 07787468 J. Phys. A, Math. Theor. 57, No. 1, Article ID 015203, 21 p. (2024). MSC: 35A22 35Q51 PDFBibTeX XMLCite \textit{I. T. Habibullin} et al., J. Phys. A, Math. Theor. 57, No. 1, Article ID 015203, 21 p. (2024; Zbl 07787468) Full Text: DOI arXiv
Coppini, F.; Santini, P. M. Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz-Ladik lattices. (English) Zbl 07787467 J. Phys. A, Math. Theor. 57, No. 1, Article ID 015202, 28 p. (2024). MSC: 37K60 37K35 35Q55 39A14 39A36 PDFBibTeX XMLCite \textit{F. Coppini} and \textit{P. M. Santini}, J. Phys. A, Math. Theor. 57, No. 1, Article ID 015202, 28 p. (2024; Zbl 07787467) Full Text: DOI arXiv OA License
Lin, Bingwen; Zhang, Yongshuai The Riemann-Hilbert approach for the Chen-Lee-Liu equation with higher-order poles. (English) Zbl 07782659 Appl. Math. Lett. 149, Article ID 108916, 5 p. (2024). MSC: 35Q55 35Q41 35Q15 37K15 37K35 37K10 35C08 35B40 35P25 PDFBibTeX XMLCite \textit{B. Lin} and \textit{Y. Zhang}, Appl. Math. Lett. 149, Article ID 108916, 5 p. (2024; Zbl 07782659) Full Text: DOI
Zhao, Nan; Cheng, Li; Chen, Junchao; Zhu, Shundong Bright Soliton solutions to the nonlocal Manakov equations of reverse-space type. (English) Zbl 07782655 Appl. Math. Lett. 149, Article ID 108906, 6 p. (2024). MSC: 35Q55 35Q41 35Q15 35C08 37K15 37K35 37K10 PDFBibTeX XMLCite \textit{N. Zhao} et al., Appl. Math. Lett. 149, Article ID 108906, 6 p. (2024; Zbl 07782655) Full Text: DOI
Zhao, Xue-Hui Multi-solitons and integrability for a \((2+1)\)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 07782644 Appl. Math. Lett. 149, Article ID 108895, 5 p. (2024). MSC: 35Q53 35Q51 35C08 37K10 37K35 11B73 PDFBibTeX XMLCite \textit{X.-H. Zhao}, Appl. Math. Lett. 149, Article ID 108895, 5 p. (2024; Zbl 07782644) Full Text: DOI
Li, Shi-Hao; Yu, Guo-Fu Christoffel transformations for (partial-)skew-orthogonal polynomials and applications. (English) Zbl 07781632 Adv. Math. 436, Article ID 109398, 32 p. (2024). MSC: 37K20 37K60 37K10 33C45 41A21 PDFBibTeX XMLCite \textit{S.-H. Li} and \textit{G.-F. Yu}, Adv. Math. 436, Article ID 109398, 32 p. (2024; Zbl 07781632) Full Text: DOI arXiv
Hu, Beibei; Shen, Zuyi; Zhang, Ling; Fang, Fang Riemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial data. (English) Zbl 1528.35159 Appl. Math. Lett. 148, Article ID 108885, 8 p. (2024). MSC: 35Q55 35Q15 37K10 37K15 37K35 35B40 35C08 PDFBibTeX XMLCite \textit{B. Hu} et al., Appl. Math. Lett. 148, Article ID 108885, 8 p. (2024; Zbl 1528.35159) Full Text: DOI
Xin, Xiangpeng; Jin, Meng; Yang, Jiajia; Xia, Yarong Nonlocal symmetries and solutions of the \((2+1)\) dimension integrable Burgers equation. (English) Zbl 1528.35153 Appl. Math. Lett. 148, Article ID 108867, 8 p. (2024). MSC: 35Q53 37K10 37K35 35C08 22E70 PDFBibTeX XMLCite \textit{X. Xin} et al., Appl. Math. Lett. 148, Article ID 108867, 8 p. (2024; Zbl 1528.35153) Full Text: DOI
Wen, Xiao-Yong; Liu, Xue-Ke Modulational instability and rogue wave solutions for the mixed focusing-defocusing semi-discrete coherently coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair. (English) Zbl 1528.35170 Appl. Math. Lett. 147, Article ID 108841, 7 p. (2024). MSC: 35Q55 35Q41 35C08 35C09 37K10 37K35 PDFBibTeX XMLCite \textit{X.-Y. Wen} and \textit{X.-K. Liu}, Appl. Math. Lett. 147, Article ID 108841, 7 p. (2024; Zbl 1528.35170) Full Text: DOI
Branquinho, Amílcar; Foulquié-Moreno, Ana; Fradi, Assil; Mañas, Manuel Matrix Jacobi biorthogonal polynomials via Riemann-Hilbert problem. (English) Zbl 07757742 Proc. Am. Math. Soc. 152, No. 1, 193-208 (2024). MSC: 33C45 42C05 39A36 39A12 34M50 15A16 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Proc. Am. Math. Soc. 152, No. 1, 193--208 (2024; Zbl 07757742) Full Text: DOI arXiv
Ma, Wen-Xiu The commutative property of reciprocal transformations and dimensional deformations. (English) Zbl 1527.35340 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 2, 10 p. (2024). MSC: 35Q51 37K10 37K35 35C08 35B06 PDFBibTeX XMLCite \textit{W.-X. Ma}, Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 2, 10 p. (2024; Zbl 1527.35340) Full Text: DOI
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 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{Ya. Rybalko}, J. Math. Anal. Appl. 529, No. 1, Article ID 127601, 33 p. (2024; Zbl 1522.35442) Full Text: DOI arXiv
Grabowski, Jan E.; Hone, Andrew N. W.; Kim, Wookyung Deformed cluster maps of type \(A_{2N}\). arXiv:2402.18310 Preprint, arXiv:2402.18310 [nlin.SI] (2024). MSC: 37J70 13F60 39A36 81R12 BibTeX Cite \textit{J. E. Grabowski} et al., ``Deformed cluster maps of type $A_{2N}$'', Preprint, arXiv:2402.18310 [nlin.SI] (2024) Full Text: arXiv OA License
Baron, Polina The Neumann-Moser dynamical system and the Korteweg-de Vries hierarchy. arXiv:2402.18079 Preprint, arXiv:2402.18079 [nlin.SI] (2024). MSC: 37K10 35Q53 37J35 37N05 70H06 BibTeX Cite \textit{P. Baron}, ``The Neumann-Moser dynamical system and the Korteweg-de Vries hierarchy'', Preprint, arXiv:2402.18079 [nlin.SI] (2024) Full Text: arXiv OA License
Baron, Polina The Mumford dynamical system and the Gelfand-Dikii recursion. arXiv:2402.16975 Preprint, arXiv:2402.16975 [nlin.SI] (2024). MSC: 35Q53 37J35 70H06 12H05 BibTeX Cite \textit{P. Baron}, ``The Mumford dynamical system and the Gelfand-Dikii recursion'', Preprint, arXiv:2402.16975 [nlin.SI] (2024) Full Text: DOI arXiv OA License
Appel, Andrea; Vlaar, Bart Tensor K-matrices for quantum symmetric pairs. arXiv:2402.16676 Preprint, arXiv:2402.16676 [math.RT] (2024). MSC: 81R50 16T25 17B37 81R12 BibTeX Cite \textit{A. Appel} and \textit{B. Vlaar}, ``Tensor K-matrices for quantum symmetric pairs'', Preprint, arXiv:2402.16676 [math.RT] (2024) Full Text: arXiv OA License
Mase, Takafumi Exact calculation of degrees for lattice equations: a singularity approach. arXiv:2402.16206 Preprint, arXiv:2402.16206 [nlin.SI] (2024). MSC: 39A36 BibTeX Cite \textit{T. Mase}, ``Exact calculation of degrees for lattice equations: a singularity approach'', Preprint, arXiv:2402.16206 [nlin.SI] (2024) Full Text: arXiv OA License
Li, Sitai A comprehensive study on zero-background solitons of the sharp-line Maxwell-Bloch equations. arXiv:2402.02166 Preprint, arXiv:2402.02166 [nlin.SI] (2024). MSC: 35Q60 37K40 35Q15 37K10 35Q51 37K15 BibTeX Cite \textit{S. Li}, ``A comprehensive study on zero-background solitons of the sharp-line Maxwell-Bloch equations'', Preprint, arXiv:2402.02166 [nlin.SI] (2024) Full Text: arXiv OA License
Choi, Mi-Ran; Lee, Kiyeon; Lee, Young-Ran Scattering for the dispersion managed nonlinear Schrödinger equation. arXiv:2401.16717 Preprint, arXiv:2401.16717 [math.AP] (2024). MSC: 35Q55 37K60 35Q60 BibTeX Cite \textit{M.-R. Choi} et al., ``Scattering for the dispersion managed nonlinear Schr\"odinger equation'', Preprint, arXiv:2401.16717 [math.AP] (2024) Full Text: arXiv OA License
Hogan, James; Kowalski, Matthew Turbulent Threshold for Continuum Calogero-Moser Models. arXiv:2401.16609 Preprint, arXiv:2401.16609 [math.AP] (2024). MSC: 37K10 35Q55 BibTeX Cite \textit{J. Hogan} and \textit{M. Kowalski}, ``Turbulent Threshold for Continuum Calogero-Moser Models'', Preprint, arXiv:2401.16609 [math.AP] (2024) Full Text: arXiv OA License
Giannoulis, Ioannis; Schmidt, Bernd; Schneider, Guido NLS approximation for a scalar FPUT system on a 2D square lattice with a cubic nonlinearity. arXiv:2401.14947 Preprint, arXiv:2401.14947 [math.DS] (2024). MSC: 35Q70 35Q55 37K60 BibTeX Cite \textit{I. Giannoulis} et al., ``NLS approximation for a scalar FPUT system on a 2D square lattice with a cubic nonlinearity'', Preprint, arXiv:2401.14947 [math.DS] (2024) Full Text: arXiv OA License
Choi, Brian Periodic Fractional Discrete Nonlinear Schrödinger Equation and Modulational Instability. arXiv:2401.13152 Preprint, arXiv:2401.13152 [math.AP] (2024). MSC: 35Q55 81T27 65M06 34A34 37K60 BibTeX Cite \textit{B. Choi}, ``Periodic Fractional Discrete Nonlinear Schr\"odinger Equation and Modulational Instability'', Preprint, arXiv:2401.13152 [math.AP] (2024) Full Text: arXiv OA License
Blaszak, Maciej; Marciniak, Krzysztof Algebraic curves as a source of separable multi-Hamiltonian systems. arXiv:2401.04673 Preprint, arXiv:2401.04673 [nlin.SI] (2024). MSC: 14H70 37J35 70H20 BibTeX Cite \textit{M. Blaszak} and \textit{K. Marciniak}, ``Algebraic curves as a source of separable multi-Hamiltonian systems'', Preprint, arXiv:2401.04673 [nlin.SI] (2024) Full Text: DOI arXiv OA License
Abedin, Raschid The \(r\)-matrix structure of Hitchin systems via loop group uniformization. arXiv:2401.01327 Preprint, arXiv:2401.01327 [math-ph] (2024). MSC: 14H70 17B38 17B80 37J35 BibTeX Cite \textit{R. Abedin}, ``The $r$-matrix structure of Hitchin systems via loop group uniformization'', Preprint, arXiv:2401.01327 [math-ph] (2024) Full Text: arXiv OA License
Sulaiman, Evan; Amen, Azad; Aziz, Waleed Integrability aspects of the dynamical forest model. (English) Zbl 07824596 Rend. Ist. Mat. Univ. Trieste 55, Paper No. 3, 27 p. (2023). MSC: 34A05 34A34 37J35 PDFBibTeX XMLCite \textit{E. Sulaiman} et al., Rend. Ist. Mat. Univ. Trieste 55, Paper No. 3, 27 p. (2023; Zbl 07824596) Full Text: DOI Link
Garifullin, R. N. Classification of semidiscrete equations of hyperbolic type. The case of third-order symmetries. (English. Russian original) Zbl 07824542 Theor. Math. Phys. 217, No. 2, 1767-1776 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 404-415 (2023). MSC: 37K10 37K60 39A36 34K04 34K31 PDFBibTeX XMLCite \textit{R. N. Garifullin}, Theor. Math. Phys. 217, No. 2, 1767--1776 (2023; Zbl 07824542); translation from Teor. Mat. Fiz. 217, No. 2, 404--415 (2023) Full Text: DOI
Cho, Aye Aye; Wang, Jing; Zhang, Da-jun Discretization of the modified Korteweg-de Vries-sine Gordon equation. (English. Russian original) Zbl 07824537 Theor. Math. Phys. 217, No. 2, 1700-1716 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 329-347 (2023). MSC: 37K60 37K10 39A36 39A14 35Q53 PDFBibTeX XMLCite \textit{A. A. Cho} et al., Theor. Math. Phys. 217, No. 2, 1700--1716 (2023; Zbl 07824537); translation from Teor. Mat. Fiz. 217, No. 2, 329--347 (2023) Full Text: DOI
Urazboev, G. U.; Yakhshimuratov, A. B.; Khasanov, M. M. Integration of negative-order modified Korteweg-de Vries equation in a class of periodic functions. (English. Russian original) Zbl 07824536 Theor. Math. Phys. 217, No. 2, 1689-1699 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 317-328 (2023). MSC: 37K15 37K10 35Q53 PDFBibTeX XMLCite \textit{G. U. Urazboev} et al., Theor. Math. Phys. 217, No. 2, 1689--1699 (2023; Zbl 07824536); translation from Teor. Mat. Fiz. 217, No. 2, 317--328 (2023) Full Text: DOI
Kozlowski, Karol Kajetan Bootstrap approach to \(1+1\)-dimensional integrable quantum field theories: the case of the sinh-Gordon model. (English) Zbl 07823098 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 4096-4118 (2023). MSC: 82B23 81Q80 45E10 33E20 30E25 PDFBibTeX XMLCite \textit{K. K. Kozlowski}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 5. Sections 9--11. Berlin: European Mathematical Society (EMS). 4096--4118 (2023; Zbl 07823098) Full Text: DOI arXiv OA License
Krichever, Igor Abelian pole systems and Riemann-Schottky-type problems. (English) Zbl 07821735 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1122-1153 (2023). MSC: 14H42 14H70 37K10 35Q51 PDFBibTeX XMLCite \textit{I. Krichever}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1122--1153 (2023; Zbl 07821735) Full Text: DOI arXiv OA License
Baik, Jinho KPZ limit theorems. (English) Zbl 07821688 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4190-4211 (2023). MSC: 60K35 82C22 PDFBibTeX XMLCite \textit{J. Baik}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 6. Sections 12--14. Berlin: European Mathematical Society (EMS). 4190--4211 (2023; Zbl 07821688) Full Text: DOI arXiv OA License
Huseyin, Nesir; Huseyin, Anar; Guseinov, Khalik G. On the robustness of the integrable trajectories of the control systems with limited control resources. (English) Zbl 07820580 Arch. Control Sci. 33, No. 3, 527-537 (2023). MSC: 93C10 45A99 PDFBibTeX XMLCite \textit{N. Huseyin} et al., Arch. Control Sci. 33, No. 3, 527--537 (2023; Zbl 07820580) Full Text: DOI arXiv
Tanaka, Yuta; Maruno, Ken-ichi Integrable discretizations of the SIR model. (English) Zbl 07817731 RIMS Kôkyûroku Bessatsu B94, 85-115 (2023). MSC: 39A36 37M15 37N25 92D25 PDFBibTeX XMLCite \textit{Y. Tanaka} and \textit{K.-i. Maruno}, RIMS Kôkyûroku Bessatsu B94, 85--115 (2023; Zbl 07817731) Full Text: arXiv Link
Kawakami, Hiroshi A \(q\)-analogue of the matrix fifth Painlevé system. (English) Zbl 07817726 RIMS Kôkyûroku Bessatsu B94, 1-19 (2023). MSC: 34M55 34M56 33E17 39A13 PDFBibTeX XMLCite \textit{H. Kawakami}, RIMS Kôkyûroku Bessatsu B94, 1--19 (2023; Zbl 07817726) Full Text: arXiv Link
Li, Jian; Xia, Tiecheng Long-time asymptotics to the defocusing generalized nonlinear Schrödinger equation with the decaying initial value problem. (English) Zbl 07816025 Math. Methods Appl. Sci. 46, No. 18, 18706-18728 (2023). MSC: 35Q51 35Q15 37K10 PDFBibTeX XMLCite \textit{J. Li} and \textit{T. Xia}, Math. Methods Appl. Sci. 46, No. 18, 18706--18728 (2023; Zbl 07816025) Full Text: DOI
Hennig, Dirk; Karachalios, Nikos I. Periodic traveling wave solutions of discrete nonlinear Klein-Gordon lattices. (English) Zbl 07816008 Math. Methods Appl. Sci. 46, No. 17, 18400-18419 (2023). MSC: 37K40 37K60 34C15 34A33 PDFBibTeX XMLCite \textit{D. Hennig} and \textit{N. I. Karachalios}, Math. Methods Appl. Sci. 46, No. 17, 18400--18419 (2023; Zbl 07816008) Full Text: DOI arXiv
Ma, Liyuan; Song, Haifang; Zhang, Yanli; Shen, Shoufeng Continuum limits for rational, breather solutions, and gauge equivalent model of the generalized discrete nonlinear Schrödinger equation. (English) Zbl 07815985 Math. Methods Appl. Sci. 46, No. 17, 17980-17995 (2023). MSC: 35Q51 35Q53 37K10 37K35 PDFBibTeX XMLCite \textit{L. Ma} et al., Math. Methods Appl. Sci. 46, No. 17, 17980--17995 (2023; Zbl 07815985) Full Text: DOI
Chen, Xiao-Min; Hu, Xing-Biao Nonisospectral Lotka-Volterra systems as a candidate model for food chain. (English) Zbl 07814787 Ann. Appl. Math. 39, No. 3, 281-322 (2023). MSC: 35Q92 37K60 94A11 PDFBibTeX XMLCite \textit{X.-M. Chen} and \textit{X.-B. Hu}, Ann. Appl. Math. 39, No. 3, 281--322 (2023; Zbl 07814787) Full Text: DOI
Khasanov, A. B.; Khasanov, T. G. Cauchy problem for the loaded Korteweg-de Vries equation in the class of periodic functions. (English. Russian original) Zbl 07810123 Differ. Equ. 59, No. 12, 1678-1690 (2023); translation from Differ. Uravn. 59, No. 12, 1668-1679 (2023). MSC: 35Q53 37K15 37K10 34B24 35P25 PDFBibTeX XMLCite \textit{A. B. Khasanov} and \textit{T. G. Khasanov}, Differ. Equ. 59, No. 12, 1678--1690 (2023; Zbl 07810123); translation from Differ. Uravn. 59, No. 12, 1668--1679 (2023) Full Text: DOI
Casati, M.; Zhang, D. Multidimensional integrable deformations of integrable PDEs. (English) Zbl 07806431 J. Phys. A, Math. Theor. 56, No. 50, Article ID 505701, 11 p. (2023). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{M. Casati} and \textit{D. Zhang}, J. Phys. A, Math. Theor. 56, No. 50, Article ID 505701, 11 p. (2023; Zbl 07806431) Full Text: DOI arXiv
Habibullin, I. T.; Khakimova, A. R. On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras. (English. Russian original) Zbl 07805989 Theor. Math. Phys. 217, No. 1, 1541-1573 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 142-178 (2023). MSC: 37K60 37K30 39A14 39A36 17B80 PDFBibTeX XMLCite \textit{I. T. Habibullin} and \textit{A. R. Khakimova}, Theor. Math. Phys. 217, No. 1, 1541--1573 (2023; Zbl 07805989); translation from Teor. Mat. Fiz. 217, No. 1, 142--178 (2023) Full Text: DOI arXiv
Kuznetsova, A. A. Modeling the degenerate singularities of integrable billiard systems by billiard books. (English. Russian original) Zbl 07805965 Mosc. Univ. Math. Bull. 78, No. 5, 207-215 (2023); translation from Vestn. Mosk. Univ., Ser. I 78, No. 5, 3-10 (2023). MSC: 37-XX 34-XX PDFBibTeX XMLCite \textit{A. A. Kuznetsova}, Mosc. Univ. Math. Bull. 78, No. 5, 207--215 (2023; Zbl 07805965); translation from Vestn. Mosk. Univ., Ser. I 78, No. 5, 3--10 (2023) Full Text: DOI
Matveev, V. B.; Smirnov, A. O. Dubrovin method and the Toda chain. (English. Russian original) Zbl 07804761 St. Petersbg. Math. J. 34, No. 6, 1019-1037 (2023); translation from Algebra Anal. 34, No. 6, 170-196 (2022). MSC: 37K10 35Q53 35Q55 PDFBibTeX XMLCite \textit{V. B. Matveev} and \textit{A. O. Smirnov}, St. Petersbg. Math. J. 34, No. 6, 1019--1037 (2023; Zbl 07804761); translation from Algebra Anal. 34, No. 6, 170--196 (2022) Full Text: DOI
Demontis, Francesco; van der Mee, Cornelis From the AKNS system to the matrix Schrödinger equation with vanishing potentials: direct and inverse problems. (English) Zbl 07801256 Stud. Appl. Math. 150, No. 2, 481-519 (2023). MSC: 35Q55 35Q41 35Q53 81Q10 35R30 37K10 37K35 35P25 35B40 PDFBibTeX XMLCite \textit{F. Demontis} and \textit{C. van der Mee}, Stud. Appl. Math. 150, No. 2, 481--519 (2023; Zbl 07801256) Full Text: DOI arXiv
Chatziafratis, Andreas; Kamvissis, Spyridon; Stratis, Ioannis G. Boundary behavior of the solution to the linear Korteweg-de Vries equation on the half line. (English) Zbl 07801251 Stud. Appl. Math. 150, No. 2, 339-379 (2023). MSC: 35Q53 35A09 35C05 35B65 37K10 35Q15 PDFBibTeX XMLCite \textit{A. Chatziafratis} et al., Stud. Appl. Math. 150, No. 2, 339--379 (2023; Zbl 07801251) Full Text: DOI
Ge, Jingjing; Li, Chuanzhong On the nonlocal third-order inhomogeneous Heisenberg spin system with self-consistent potential. (English) Zbl 07795056 Int. J. Geom. Methods Mod. Phys. 20, No. 11, Article ID 2350187, 26 p. (2023). MSC: 37K10 37K35 35Q61 35Q60 PDFBibTeX XMLCite \textit{J. Ge} and \textit{C. Li}, Int. J. Geom. Methods Mod. Phys. 20, No. 11, Article ID 2350187, 26 p. (2023; Zbl 07795056) Full Text: DOI
Sun, Pengyu; Zhang, Cheng Classification of integrable boundary equations for integrable systems on quad-graphs. (English) Zbl 07794863 Int. Math. Res. Not. 2023, No. 16, 13601-13657 (2023). MSC: 35R02 35Q53 37K10 PDFBibTeX XMLCite \textit{P. Sun} and \textit{C. Zhang}, Int. Math. Res. Not. 2023, No. 16, 13601--13657 (2023; Zbl 07794863) Full Text: DOI arXiv
Alejo, Miguel A. Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization. (English) Zbl 07794175 Proyecciones 42, No. 4, 833-860 (2023). MSC: 37K10 37K40 35Q53 35Q51 35G20 35C08 PDFBibTeX XMLCite \textit{M. A. Alejo}, Proyecciones 42, No. 4, 833--860 (2023; Zbl 07794175) Full Text: DOI arXiv
Barraquand, Guillaume; Corwin, Ivan Stationary measures for the log-gamma polymer and KPZ equation in half-space. (English) Zbl 07793393 Ann. Probab. 51, No. 5, 1830-1869 (2023). MSC: 60G10 60H15 60J25 82C23 PDFBibTeX XMLCite \textit{G. Barraquand} and \textit{I. Corwin}, Ann. Probab. 51, No. 5, 1830--1869 (2023; Zbl 07793393) Full Text: DOI arXiv
Asadi, Esmaeel; Riaz, H. W. A.; Ganjkhanloo, Mohammad Ali Generalized Darboux transformation for nonlinear Schrödinger system on general Hermitian symmetric spaces and rogue wave solutions. (English) Zbl 07792342 Int. J. Geom. Methods Mod. Phys. 20, No. 8, Article ID 2350127, 26 p. (2023). MSC: 35Q55 35Q41 35C08 37K10 70H06 37K25 37K35 35A02 PDFBibTeX XMLCite \textit{E. Asadi} et al., Int. J. Geom. Methods Mod. Phys. 20, No. 8, Article ID 2350127, 26 p. (2023; Zbl 07792342) Full Text: DOI
Yang, Qianqian; Li, Chuanzhong Darboux transformation and soliton solutions of the nonlocal Heisenberg spin system with self-consistent potential. (English) Zbl 07792338 Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350123, 16 p. (2023). MSC: 37K10 37K35 35Q53 35Q51 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{C. Li}, Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350123, 16 p. (2023; Zbl 07792338) Full Text: DOI
Ma, Wen-Xiu Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type \((-\lambda, \lambda)\). (English) Zbl 07792312 Int. J. Geom. Methods Mod. Phys. 20, No. 6, Article ID 2350098, 16 p. (2023). MSC: 37K10 35Q15 35Q55 37K40 PDFBibTeX XMLCite \textit{W.-X. Ma}, Int. J. Geom. Methods Mod. Phys. 20, No. 6, Article ID 2350098, 16 p. (2023; Zbl 07792312) Full Text: DOI
Magnot, J.-P.; Reyes, E. G.; Roubtsov, V. A Kadomtsev-Petviashvili hierarchy driven by equation manifolds. (English) Zbl 07792260 Lobachevskii J. Math. 44, No. 9, 3963-3972 (2023). MSC: 35Q53 35Q35 76W05 37K10 58A20 35B65 35R01 PDFBibTeX XMLCite \textit{J. P. Magnot} et al., Lobachevskii J. Math. 44, No. 9, 3963--3972 (2023; Zbl 07792260) Full Text: DOI