Deng, Wei; Li, Min; Wu, Xing; Zhu, Weipeng Ill-posedness for a generalized Camassa-Holm equation with higher-order nonlinearity in the critical Besov space. (English) Zbl 07825581 Monatsh. Math. 203, No. 4, 843-857 (2024). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{W. Deng} et al., Monatsh. Math. 203, No. 4, 843--857 (2024; Zbl 07825581) Full Text: DOI arXiv
Osipov, Andrey S. On the links between Miura transformations of Bogoyavlensky lattices and inverse spectral problems for band operators. (English) Zbl 07824085 Armen. J. Math. 16, Paper No. 2, 28 p. (2024). MSC: 47B36 37K10 37K15 PDFBibTeX XMLCite \textit{A. S. Osipov}, Armen. J. Math. 16, Paper No. 2, 28 p. (2024; Zbl 07824085) Full Text: DOI arXiv
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
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
Fu, Ang; Li, Mingjin; Yang, Di From wave functions to tau-functions for the Volterra lattice hierarchy. (English) Zbl 07815349 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 405-419 (2024). MSC: 37K10 05A15 33E15 PDFBibTeX XMLCite \textit{A. Fu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 405--419 (2024; Zbl 07815349) Full Text: DOI
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
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
Frassek, Rouven; Szécsényi, István M. The steady state of the boundary-driven multiparticle asymmetric diffusion model. (English) Zbl 07814457 J. Phys. A, Math. Theor. 57, No. 9, Article ID 095205, 15 p. (2024). MSC: 82B23 82B20 82D40 37K10 37K15 81R12 PDFBibTeX XMLCite \textit{R. Frassek} and \textit{I. M. Szécsényi}, J. Phys. A, Math. Theor. 57, No. 9, Article ID 095205, 15 p. (2024; Zbl 07814457) Full Text: DOI arXiv OA License
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
Geng, Xianguo; Jia, Minxin; Xue, Bo; Zhai, Yunyun Application of tetragonal curves to coupled Boussinesq equations. (English) Zbl 07812612 Lett. Math. Phys. 114, No. 1, Paper No. 30, 42 p. (2024). MSC: 37K10 37K20 14H42 37K40 PDFBibTeX XMLCite \textit{X. Geng} et al., Lett. Math. Phys. 114, No. 1, Paper No. 30, 42 p. (2024; Zbl 07812612) Full Text: DOI
Bolsinov, Alexey V.; Konyaev, Andrey Yu.; Matveev, Vladimir S. Applications of Nijenhuis geometry. V: Geodesic equivalence and finite-dimensional reductions of integrable quasilinear systems. (English) Zbl 07812569 J. Nonlinear Sci. 34, No. 2, Paper No. 33, 18 p. (2024). MSC: 37K05 37K06 37K10 37K25 37K50 53B10 53A20 53B20 53B30 53B50 53B99 53D17 PDFBibTeX XMLCite \textit{A. V. Bolsinov} et al., J. Nonlinear Sci. 34, No. 2, Paper No. 33, 18 p. (2024; Zbl 07812569) Full Text: DOI arXiv OA License
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
Adler, V. E. Negative flows for several integrable models. (English) Zbl 07812240 J. Math. Phys. 65, No. 2, Article ID 023502, 12 p. (2024). MSC: 37K10 35Q51 37K35 PDFBibTeX XMLCite \textit{V. E. Adler}, J. Math. Phys. 65, No. 2, Article ID 023502, 12 p. (2024; Zbl 07812240) Full Text: DOI arXiv
Blower, Gordon; Khaleghi, Azadeh; Kuchemann-Scales, Moe Hasimoto frames and the Gibbs measure of the periodic nonlinear Schrödinger equation. (English) Zbl 07812232 J. Math. Phys. 65, No. 2, Article ID 022705, 26 p. (2024). MSC: 35Q55 35R06 37K10 PDFBibTeX XMLCite \textit{G. Blower} et al., J. Math. Phys. 65, No. 2, Article ID 022705, 26 p. (2024; Zbl 07812232) 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). MSC: 53C15 53A45 53B99 37K10 37K25 35A30 35B06 35F20 35N10 PDFBibTeX XMLCite \textit{A. V. Bolsinov} et al., Rev. Mat. Iberoam. 40, No. 1, 155--188 (2024; Zbl 07810710) Full Text: DOI arXiv
Deaño, Alfredo; Morey, Lucía; Román, Pablo Non-abelian Toda-type equations and matrix valued orthogonal polynomials. (English) Zbl 07810100 Proc. Am. Math. Soc. 152, No. 4, 1613-1632 (2024). MSC: 37K10 33C47 PDFBibTeX XMLCite \textit{A. Deaño} et al., Proc. Am. Math. Soc. 152, No. 4, 1613--1632 (2024; Zbl 07810100) Full Text: DOI arXiv
Leon, Alejandro O.; Berríos-Caro, Ernesto; León, Alejandra; Clerc, Marcel G. Faraday kinks connecting parametric waves in magnetic wires. (English) Zbl 07810039 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107841, 9 p. (2024). MSC: 35Q82 82D40 82D77 35C08 37K10 PDFBibTeX XMLCite \textit{A. O. Leon} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107841, 9 p. (2024; Zbl 07810039) Full Text: DOI
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
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
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
Lv, Cong; Shen, Shoufeng; Liu, Q. P. Inverse scattering transform for the coupled modified complex short pulse equation: Riemann-Hilbert approach and soliton solutions. (English) Zbl 07808478 Physica D 458, Article ID 133986, 19 p. (2024). MSC: 35Q60 35Q15 78A60 78A46 35C08 37K15 37K10 PDFBibTeX XMLCite \textit{C. Lv} et al., Physica D 458, Article ID 133986, 19 p. (2024; Zbl 07808478) 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
Eslami-Rad, Anahita; Magnot, Jean-Pierre; Reyes, Enrique G.; Rubtsov, Vladimir Diffeologies and generalized Kadomtsev-Petviashvili hierarchies. (English) Zbl 07807752 Magnot, Jean-Pierre (ed.), Recent advances in diffeologies and their applications. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18–20, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 794, 211-222 (2024). MSC: 37K10 22E65 35R15 57P99 PDFBibTeX XMLCite \textit{A. Eslami-Rad} et al., Contemp. Math. 794, 211--222 (2024; Zbl 07807752) Full Text: DOI
Magnot, Jean-Pierre (ed.) Recent advances in diffeologies and their applications. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18–20, 2022. (English) Zbl 07807552 Contemporary Mathematics 794. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7254-2/pbk; 978-1-4704-7607-6/ebook). ix, 258 p. (2024). MSC: 53-06 58-06 46-06 14-06 14D23 14M25 37K10 46T05 49Q10 53D20 57R30 57R55 58B10 81R50 00B25 PDFBibTeX XMLCite \textit{J.-P. Magnot} (ed.), Recent advances in diffeologies and their applications. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18--20, 2022. Providence, RI: American Mathematical Society (AMS) (2024; Zbl 07807552) Full Text: DOI
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
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
Zhang, Ling; Hu, Bei-Bei; Shen, Zu-Yi Riemann-Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg-de Vries equation with step-like initial data. (English) Zbl 07801173 J. Math. Phys. 65, No. 1, Article ID 013507, 11 p. (2024). MSC: 35Q15 35Q53 37K10 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Math. Phys. 65, No. 1, Article ID 013507, 11 p. (2024; Zbl 07801173) Full Text: DOI
An, Rui; Wang, Na; Yan, Zhaowen Two types of universal characters and the integrable hierarchies. (English) Zbl 07801171 J. Math. Phys. 65, No. 1, Article ID 013505, 16 p. (2024). MSC: 37K10 37K30 17B69 PDFBibTeX XMLCite \textit{R. An} et al., J. Math. Phys. 65, No. 1, Article ID 013505, 16 p. (2024; Zbl 07801171) Full Text: DOI
Wu, Yemo; Zuo, Dafeng Dubrovin-Frobenius manifold structures on the orbit space of the symmetric group. (English) Zbl 07801154 J. Math. Phys. 65, No. 1, Article ID 011702, 22 p. (2024). MSC: 53D45 53C30 32M10 37K25 37K10 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{D. Zuo}, J. Math. Phys. 65, No. 1, Article ID 011702, 22 p. (2024; Zbl 07801154) 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
Yang, Di Degree zero Gromov-Witten invariants for smooth curves. (English) Zbl 07798499 Bull. Lond. Math. Soc. 56, No. 1, 96-110 (2024). MSC: 14N35 53D45 37K10 PDFBibTeX XMLCite \textit{D. Yang}, Bull. Lond. Math. Soc. 56, No. 1, 96--110 (2024; Zbl 07798499) Full Text: DOI arXiv
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
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
Biondini, Gino; Bivolcic, Alexander J.; Hoefer, Mark A.; Moro, Antonio Two-dimensional reductions of the Whitham modulation system for the Kadomtsev-Petviashvili equation. (English) Zbl 07791456 Nonlinearity 37, No. 2, Article ID 025012, 29 p. (2024). MSC: 35F50 37K10 37J35 PDFBibTeX XMLCite \textit{G. Biondini} et al., Nonlinearity 37, No. 2, Article ID 025012, 29 p. (2024; Zbl 07791456) Full Text: DOI arXiv
Yang, Di GUE via Frobenius manifolds. I: From matrix gravity to topological gravity and back. (English) Zbl 07790987 Acta Math. Sin., Engl. Ser. 40, No. 1, 383-405 (2024). MSC: 53D45 53Z05 81T45 83C60 15B52 37K10 14N35 PDFBibTeX XMLCite \textit{D. Yang}, Acta Math. Sin., Engl. Ser. 40, No. 1, 383--405 (2024; Zbl 07790987) Full Text: DOI arXiv
Chen, Chong Yao; Guo, Shuai Quantum curve and bilinear fermionic form for the orbifold Gromov-Witten theory of \(\mathbb{P} [r]\). (English) Zbl 07790980 Acta Math. Sin., Engl. Ser. 40, No. 1, 43-80 (2024). MSC: 14N35 53D45 37K10 PDFBibTeX XMLCite \textit{C. Y. Chen} and \textit{S. Guo}, Acta Math. Sin., Engl. Ser. 40, No. 1, 43--80 (2024; Zbl 07790980) Full Text: DOI arXiv
Zhou, Jian Emergent geometry of KP hierarchy. (English) Zbl 07790978 Acta Math. Sin., Engl. Ser. 40, No. 1, 3-25 (2024). MSC: 37K10 37K20 37K25 53D45 PDFBibTeX XMLCite \textit{J. Zhou}, Acta Math. Sin., Engl. Ser. 40, No. 1, 3--25 (2024; Zbl 07790978) Full Text: DOI arXiv
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui On the oceanic/laky shallow-water dynamics through a Boussinesq-Burgers system. (English) Zbl 07790240 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 57, 11 p. (2024). MSC: 35Q86 35Q35 86A05 76B15 35C08 37K10 37K35 68W30 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 57, 11 p. (2024; Zbl 07790240) Full Text: DOI
Lorenzoni, P.; Shadrin, S.; Vitolo, R. Miura-reciprocal transformations and localizable Poisson pencils. (English) Zbl 07789592 Nonlinearity 37, No. 2, Article ID 025001, 35 p. (2024). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K10 37K06 37K20 37K25 PDFBibTeX XMLCite \textit{P. Lorenzoni} et al., Nonlinearity 37, No. 2, Article ID 025001, 35 p. (2024; Zbl 07789592) Full Text: DOI arXiv OA License
Wang, Yinan; Yan, Zhaowen Solutions of the universal character hierarchy and BUC hierarchy by fermionic approach. (English) Zbl 07787724 J. Math. Anal. Appl. 532, No. 2, Article ID 127912, 26 p. (2024). MSC: 37K10 37K20 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Z. Yan}, J. Math. Anal. Appl. 532, No. 2, Article ID 127912, 26 p. (2024; Zbl 07787724) Full Text: DOI
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
Bianchini, Stefano Exact integrability conditions for cotangent vector fields. (English) Zbl 07785293 Manuscr. Math. 173, No. 1-2, 293-340 (2024). MSC: 35Q40 76Y05 37K10 35R06 PDFBibTeX XMLCite \textit{S. Bianchini}, Manuscr. Math. 173, No. 1--2, 293--340 (2024; Zbl 07785293) 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
Singh, Shailendra; Saha Ray, S. Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials. (English) Zbl 1526.35105 J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024). MSC: 35C05 35A22 37K10 PDFBibTeX XMLCite \textit{S. Singh} and \textit{S. Saha Ray}, J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024; Zbl 1526.35105) Full Text: DOI
Wang, Dong; Gao, Yi-Tian; Yu, Xin; Deng, Gao-Fu; Liu, Fei-Yan Painlevé analysis, Bäcklund transformation, Lax pair, periodic- and travelling-wave solutions for a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics. (English) Zbl 1526.35111 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024). MSC: 35C07 35A22 35Q35 37K10 PDFBibTeX XMLCite \textit{D. Wang} et al., Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024; Zbl 1526.35111) Full Text: DOI
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
Fevola, Claudia; Mandelshtam, Yelena Hirota varieties and rational nodal curves. (English) Zbl 1522.14044 J. Symb. Comput. 120, Article ID 102239, 13 p. (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H42 14K25 37K10 PDFBibTeX XMLCite \textit{C. Fevola} and \textit{Y. Mandelshtam}, J. Symb. Comput. 120, Article ID 102239, 13 p. (2024; Zbl 1522.14044) Full Text: DOI arXiv
Bambusi, Dario; Langella, Beatrice Globally integrable quantum systems and their perturbations. arXiv:2403.18670 Preprint, arXiv:2403.18670 [math.AP] (2024). MSC: 37K10 35Q55 BibTeX Cite \textit{D. Bambusi} and \textit{B. Langella}, ``Globally integrable quantum systems and their perturbations'', Preprint, arXiv:2403.18670 [math.AP] (2024) Full Text: arXiv OA License
Bauer, Wolfram; Laaroussi, Abdellah; Tarama, Daisuke Complete integrability of subriemannian geodesic flows on \(\mathbb{S}^7\). arXiv:2403.10157 Preprint, arXiv:2403.10157 [math.DG] (2024). MSC: 53C17 37K10 BibTeX Cite \textit{W. Bauer} et al., ``Complete integrability of subriemannian geodesic flows on $\mathbb{S}^7$'', Preprint, arXiv:2403.10157 [math.DG] (2024) Full Text: arXiv OA License
Badreddine, Rana Zero dispersion limit of the Calogero-Moser derivative NLS equation. arXiv:2403.00119 Preprint, arXiv:2403.00119 [math.AP] (2024). MSC: 37K10 30H10 BibTeX Cite \textit{R. Badreddine}, ``Zero dispersion limit of the Calogero-Moser derivative NLS equation'', Preprint, arXiv:2403.00119 [math.AP] (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
Belliard, Raphaël A renormalised description of meromorphic connections over curves. arXiv:2402.13362 Preprint, arXiv:2402.13362 [math-ph] (2024). MSC: 17B80 17B81 30F30 37K10 32L05 51M15 81T40 BibTeX Cite \textit{R. Belliard}, ``A renormalised description of meromorphic connections over curves'', Preprint, arXiv:2402.13362 [math-ph] (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
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
Hu, Xin; Casati, Matteo Multidimensional nonhomogeneous quasi-linear systems and their Hamiltonian structures. arXiv:2401.10445 Preprint, arXiv:2401.10445 [nlin.SI] (2024). MSC: 37K10 37K25 BibTeX Cite \textit{X. Hu} and \textit{M. Casati}, ``Multidimensional nonhomogeneous quasi-linear systems and their Hamiltonian structures'', Preprint, arXiv:2401.10445 [nlin.SI] (2024) Full Text: arXiv OA License
Eynard, Bertrand; Oukassi, Soufiane Hirota, Fay and Geometry. arXiv:2401.08317 Preprint, arXiv:2401.08317 [math-ph] (2024). MSC: 37K10 14H70 14H42 BibTeX Cite \textit{B. Eynard} and \textit{S. Oukassi}, ``Hirota, Fay and Geometry'', Preprint, arXiv:2401.08317 [math-ph] (2024) Full Text: arXiv OA License
Pribytok, A. V. Novel integrability in string theory from automorphic symmetries. (English. Russian original) Zbl 07824556 Theor. Math. Phys. 217, No. 3, 1914-1937 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 585-612 (2023). MSC: 37K60 37K10 37K30 81T13 81R05 PDFBibTeX XMLCite \textit{A. V. Pribytok}, Theor. Math. Phys. 217, No. 3, 1914--1937 (2023; Zbl 07824556); translation from Teor. Mat. Fiz. 217, No. 3, 585--612 (2023) Full Text: DOI
Pogrebkov, A. K. Nonexplicit versions of integrable equations. (English. Russian original) Zbl 07824555 Theor. Math. Phys. 217, No. 3, 1907-1913 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 577-584 (2023). MSC: 37K10 37K30 35Q51 PDFBibTeX XMLCite \textit{A. K. Pogrebkov}, Theor. Math. Phys. 217, No. 3, 1907--1913 (2023; Zbl 07824555); translation from Teor. Mat. Fiz. 217, No. 3, 577--584 (2023) Full Text: DOI
Bykov, D. V. Sigma models as Gross-Neveu models. II. (English. Russian original) Zbl 07824550 Theor. Math. Phys. 217, No. 3, 1842-1854 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 499-514 (2023). MSC: 37K10 37K30 37K25 PDFBibTeX XMLCite \textit{D. V. Bykov}, Theor. Math. Phys. 217, No. 3, 1842--1854 (2023; Zbl 07824550); translation from Teor. Mat. Fiz. 217, No. 3, 499--514 (2023) Full Text: DOI
Antonov, E. N.; Orlov, A. Yu. A new solvable two-matrix model and the BKP tau function. (English. Russian original) Zbl 07824547 Theor. Math. Phys. 217, No. 3, 1807-1820 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 457-472 (2023). MSC: 37K10 37K20 PDFBibTeX XMLCite \textit{E. N. Antonov} and \textit{A. Yu. Orlov}, Theor. Math. Phys. 217, No. 3, 1807--1820 (2023; Zbl 07824547); translation from Teor. Mat. Fiz. 217, No. 3, 457--472 (2023) Full Text: DOI
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 arXiv
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
Prokofev, V. V.; Zabrodin, A. V. Tau-function of the B-Toda hierarchy. (English. Russian original) Zbl 07824535 Theor. Math. Phys. 217, No. 2, 1673-1688 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 299-316 (2023). MSC: 37K10 37K20 PDFBibTeX XMLCite \textit{V. V. Prokofev} and \textit{A. V. Zabrodin}, Theor. Math. Phys. 217, No. 2, 1673--1688 (2023; Zbl 07824535); translation from Teor. Mat. Fiz. 217, No. 2, 299--316 (2023) Full Text: DOI arXiv
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
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
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
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
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
Fokas, A. S.; Latifi, A. The Korteweg-de Vries equation with forcing involving products of eigenfunctions. (English) Zbl 07803239 J. Math. Phys. Anal. Geom. 19, No. 1, 107-127 (2023). MSC: 37K10 35B35 35B34 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{A. Latifi}, J. Math. Phys. Anal. Geom. 19, No. 1, 107--127 (2023; Zbl 07803239) Full Text: DOI
Mladenov, Ivaïlo M. (ed.) Geometry, integrability and quantization. Volume 26. (English) Zbl 07803057 Geometry, Integrability and Quantization 26. Sofia: Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy. (2023). MSC: 53-06 53Cxx 53Dxx 53Z05 00B25 37J35 37K10 37J39 37K25 PDFBibTeX XML Full Text: Link Link
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
Cui, Leilei; Wei, Jun-cheng; Yang, Wen; Zhang, Lei The blow-up analysis on \(\mathbf{B}_2^{(1)}\) affine Toda system: local mass and affine Weyl group. (English) Zbl 07794921 Int. Math. Res. Not. 2023, No. 18, 16140-16199 (2023). MSC: 37K30 37K10 17B80 17B20 PDFBibTeX XMLCite \textit{L. Cui} et al., Int. Math. Res. Not. 2023, No. 18, 16140--16199 (2023; Zbl 07794921) Full Text: DOI arXiv
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
Glukhov, Evgeniy V.; Mokhov, Oleg I. Algebraic-geometry approach to construction of semi-Hamiltonian systems of hydrodynamic type. (English. Russian original) Zbl 07794513 Izv. Math. 87, No. 6, 1148-1160 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 6, 35-48 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 53A07 53B25 37K10 37K25 PDFBibTeX XMLCite \textit{E. V. Glukhov} and \textit{O. I. Mokhov}, Izv. Math. 87, No. 6, 1148--1160 (2023; Zbl 07794513); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 6, 35--48 (2023) Full Text: DOI MNR
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
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
Helminck, G. F.; Weenink, J. A. Scaling invariance of the \(k[S]\)-hierarchy and its strict version. (English) Zbl 07792256 Lobachevskii J. Math. 44, No. 9, 3927-3940 (2023). MSC: 37K10 37K30 PDFBibTeX XMLCite \textit{G. F. Helminck} and \textit{J. A. Weenink}, Lobachevskii J. Math. 44, No. 9, 3927--3940 (2023; Zbl 07792256) Full Text: DOI
He, Baiying; Liu, Shiyuan; Gao, Siyu Some soliton hierarchies associated with Lie algebras \(\mathfrak{sp}(4)\) and \(\mathfrak{so}(5)\). (English) Zbl 07792190 J. Nonlinear Math. Phys. 30, No. 4, 1510-1528 (2023). MSC: 37K10 37K30 17B80 PDFBibTeX XMLCite \textit{B. He} et al., J. Nonlinear Math. Phys. 30, No. 4, 1510--1528 (2023; Zbl 07792190) Full Text: DOI OA License