Rogers, Colin On the Lagrangian version of the Korteweg capillarity system: integrability aspects. (English) Zbl 07545257 Ric. Mat. 71, No. 1, 29-39 (2022). MSC: 76B45 37K10 PDF BibTeX XML Cite \textit{C. Rogers}, Ric. Mat. 71, No. 1, 29--39 (2022; Zbl 07545257) Full Text: DOI OpenURL
Cullen, Joseph D.; Ivanov, Rossen I. Hamiltonian description of internal ocean waves with Coriolis force. (English) Zbl 07545176 Commun. Pure Appl. Anal. 21, No. 7, 2291-2307 (2022). MSC: 35Q35 35Q86 35Q53 76B55 76U60 37K10 PDF BibTeX XML Cite \textit{J. D. Cullen} and \textit{R. I. Ivanov}, Commun. Pure Appl. Anal. 21, No. 7, 2291--2307 (2022; Zbl 07545176) Full Text: DOI OpenURL
Klaus, Friedrich; Kunstmann, Peer Global wellposedness of NLS in \(H^1(\mathbb{R}) + H^s(\mathbb{T})\). (English) Zbl 07545085 J. Math. Anal. Appl. 514, No. 2, Article ID 126359, 14 p. (2022). MSC: 35Qxx 35Axx 37Kxx PDF BibTeX XML Cite \textit{F. Klaus} and \textit{P. Kunstmann}, J. Math. Anal. Appl. 514, No. 2, Article ID 126359, 14 p. (2022; Zbl 07545085) Full Text: DOI OpenURL
Kaur, Navneet; Joshi, Varun Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method. (English) Zbl 07545083 J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022). MSC: 35Qxx 65Mxx 37Kxx PDF BibTeX XML Cite \textit{N. Kaur} and \textit{V. Joshi}, J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022; Zbl 07545083) Full Text: DOI OpenURL
Hu, Yuru; Zhang, Feng; Xin, Xiangpeng; Liu, Hanze Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation. (English) Zbl 07544775 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1811-1822 (2022). MSC: 35Q51 35Q55 35Q53 35C08 37K35 PDF BibTeX XML Cite \textit{Y. Hu} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1811--1822 (2022; Zbl 07544775) Full Text: DOI OpenURL
Zhang, Yuan; Si, Wen; Si, Jianguo Construction of quasi-periodic solutions for nonlinear forced perturbations of dissipative Boussinesq systems. (English) Zbl 07544605 Nonlinear Anal., Real World Appl. 67, Article ID 103621, 30 p. (2022). MSC: 35Qxx 35Bxx 37Kxx PDF BibTeX XML Cite \textit{Y. Zhang} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103621, 30 p. (2022; Zbl 07544605) Full Text: DOI OpenURL
Himonas, A. Alexandrou; Yan, Fangchi The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces. (English) Zbl 07544230 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 113008, 31 p. (2022). MSC: 35Q55 35G31 35G16 37K10 PDF BibTeX XML Cite \textit{A. A. Himonas} and \textit{F. Yan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 113008, 31 p. (2022; Zbl 07544230) Full Text: DOI OpenURL
Zhang, Zexuan; Zhang, Jianbing A differential-difference hierarchy related to the Toda lattice and its inverse scattering transformation. (English) Zbl 07543830 J. Math. Res. Appl. 42, No. 1, 57-72 (2022). MSC: 37K40 37K10 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{J. Zhang}, J. Math. Res. Appl. 42, No. 1, 57--72 (2022; Zbl 07543830) Full Text: DOI OpenURL
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie Soliton resolution for the Wadati-Konno-Ichikawa equation with weighted Sobolev initial data. (English) Zbl 07543733 Ann. Henri Poincaré 23, No. 7, 2611-2655 (2022). MSC: 35Q15 35Q51 35C20 35P25 35B40 78A60 74K10 37K40 37K35 PDF BibTeX XML Cite \textit{Z.-Q. Li} et al., Ann. Henri Poincaré 23, No. 7, 2611--2655 (2022; Zbl 07543733) Full Text: DOI OpenURL
Berjawi, S.; Ferapontov, E. V.; Kruglikov, B. S.; Novikov, V. S. Second-order PDEs in 3D with Einstein-Weyl conformal structure. (English) Zbl 07543732 Ann. Henri Poincaré 23, No. 7, 2579-2609 (2022). MSC: 35Q75 35L70 35Q76 37K25 53A40 53B50 53C25 PDF BibTeX XML Cite \textit{S. Berjawi} et al., Ann. Henri Poincaré 23, No. 7, 2579--2609 (2022; Zbl 07543732) Full Text: DOI OpenURL
Klimčík, Ctirad On strong integrability of the dressing cosets. (English) Zbl 07543731 Ann. Henri Poincaré 23, No. 7, 2545-2578 (2022). MSC: 81Txx 81Rxx 37Kxx PDF BibTeX XML Cite \textit{C. Klimčík}, Ann. Henri Poincaré 23, No. 7, 2545--2578 (2022; Zbl 07543731) Full Text: DOI OpenURL
Liang, Zhenguo; Wang, Zhiqiang Reducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) perturbed by a quasi: periodic potential with logarithmic decay. (English) Zbl 07542668 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 155, 26 p. (2022). MSC: 37K55 35P05 81Q15 PDF BibTeX XML Cite \textit{Z. Liang} and \textit{Z. Wang}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 155, 26 p. (2022; Zbl 07542668) Full Text: DOI OpenURL
Bak, Sergiy M.; Kovtonyuk, Galyna M. Existence of periodic traveling waves in Fermi-Pasta-Ulam type systems on 2D-lattice with saturable nonlinearities. (English) Zbl 07542532 J. Math. Sci., New York 260, No. 5, 619-629 (2022) and Ukr. Mat. Visn. 18, No. 4, 466-478 (2021). MSC: 37Kxx 34Axx 34Cxx PDF BibTeX XML Cite \textit{S. M. Bak} and \textit{G. M. Kovtonyuk}, J. Math. Sci., New York 260, No. 5, 619--629 (2022; Zbl 07542532) Full Text: DOI OpenURL
Li, Ji; Liu, Yue; Wu, Qiliang Orbital stability of the sum of smooth solitons in the Degasperis-Procesi equation. (English. French summary) Zbl 07541866 J. Math. Pures Appl. (9) 163, 204-230 (2022). MSC: 35Q35 35Q51 37K40 37K45 76B25 35B35 35B45 35B20 35B40 35B65 35C08 PDF BibTeX XML Cite \textit{J. Li} et al., J. Math. Pures Appl. (9) 163, 204--230 (2022; Zbl 07541866) Full Text: DOI OpenURL
Chai, Xuedong; Zhang, Yufeng; Chen, Yong; Zhao, Shiyin The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Jimbo-Miwa equation. (English) Zbl 07541830 Proc. Am. Math. Soc. 150, No. 7, 2879-2887 (2022). MSC: 37K15 35R30 35A30 35Q51 PDF BibTeX XML Cite \textit{X. Chai} et al., Proc. Am. Math. Soc. 150, No. 7, 2879--2887 (2022; Zbl 07541830) Full Text: DOI OpenURL
Yuan, Shengyang; Xu, Jian On a Riemann-Hilbert problem for the negative-order KdV equation. (English) Zbl 07540940 Appl. Math. Lett. 132, Article ID 108106, 5 p. (2022). MSC: 35Q15 35Q53 35C08 35B40 37K35 PDF BibTeX XML Cite \textit{S. Yuan} and \textit{J. Xu}, Appl. Math. Lett. 132, Article ID 108106, 5 p. (2022; Zbl 07540940) Full Text: DOI OpenURL
Egorova, Iryna; Michor, Johanna; Teschl, Gerald Soliton asymptotics for the KdV shock problem via classical inverse scattering. (English) Zbl 07540670 J. Math. Anal. Appl. 514, No. 1, Article ID 126251, 24 p. (2022). MSC: 35Qxx 37Kxx 34Lxx PDF BibTeX XML Cite \textit{I. Egorova} et al., J. Math. Anal. Appl. 514, No. 1, Article ID 126251, 24 p. (2022; Zbl 07540670) Full Text: DOI OpenURL
Zhang, Zhao; Li, Biao; Chen, Junchao; Guo, Qi; Stepanyants, Yury Degenerate lump interactions within the Kadomtsev-Petviashvili equation. (English) Zbl 07540496 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106555, 14 p. (2022). MSC: 37Kxx 35Qxx 35Cxx PDF BibTeX XML Cite \textit{Z. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106555, 14 p. (2022; Zbl 07540496) Full Text: DOI OpenURL
Sheftel, M. B.; Yazıcı, D. Recursion operators and bi-Hamiltonian representations of cubic evolutionary (2+1)-dimensional systems. (English) Zbl 07540486 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106527, 15 p. (2022). MSC: 37Kxx 35Qxx 83Cxx PDF BibTeX XML Cite \textit{M. B. Sheftel} and \textit{D. Yazıcı}, Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106527, 15 p. (2022; Zbl 07540486) Full Text: DOI OpenURL
Haller, Stefan; Vizman, Cornelia A dual pair for the contact group. (English) Zbl 07540311 Math. Z. 301, No. 3, 2937-2973 (2022). MSC: 53D20 53D10 37K65 58D05 58D10 PDF BibTeX XML Cite \textit{S. Haller} and \textit{C. Vizman}, Math. Z. 301, No. 3, 2937--2973 (2022; Zbl 07540311) Full Text: DOI OpenURL
Fehér, L. Bi-Hamiltonian structure of Sutherland models coupled to two \(\mathfrak{u}(n)^*\)-valued spins from Poisson reduction. (English) Zbl 07539294 Nonlinearity 35, No. 6, 2971-3003 (2022). MSC: 70H06 37J15 37K10 PDF BibTeX XML Cite \textit{L. Fehér}, Nonlinearity 35, No. 6, 2971--3003 (2022; Zbl 07539294) Full Text: DOI OpenURL
Carles, Rémi; Su, Chunmei Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential. (English) Zbl 07538438 Commun. Partial Differ. Equations 47, No. 6, 1176-1192 (2022). MSC: 35Q55 35Q41 35B35 35C08 37K40 PDF BibTeX XML Cite \textit{R. Carles} and \textit{C. Su}, Commun. Partial Differ. Equations 47, No. 6, 1176--1192 (2022; Zbl 07538438) Full Text: DOI OpenURL
Crisan, Dan; Holm, Darryl D.; Leahy, James-Michael; Nilssen, Torstein Variational principles for fluid dynamics on rough paths. (English) Zbl 07537688 Adv. Math. 404, Part A, Article ID 108409, 75 p. (2022). MSC: 35Q35 37K58 60H15 60L20 60L50 60G22 PDF BibTeX XML Cite \textit{D. Crisan} et al., Adv. Math. 404, Part A, Article ID 108409, 75 p. (2022; Zbl 07537688) Full Text: DOI OpenURL
Hu, Beibei; Lin, Ji; Zhang, Ling On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a \(4 \times 4\) matrix Lax pair. (English) Zbl 07537572 Appl. Math. Comput. 428, Article ID 127202, 14 p. (2022). MSC: 35G31 35Q15 37K10 45D05 PDF BibTeX XML Cite \textit{B. Hu} et al., Appl. Math. Comput. 428, Article ID 127202, 14 p. (2022; Zbl 07537572) Full Text: DOI OpenURL
Liu, Si-Qi; Wang, Zhe; Zhang, Youjin Reduction of the 2D Toda hierarchy and linear Hodge integrals. (English) Zbl 07537219 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 037, 18 p. (2022). MSC: 53D45 37K10 37K25 PDF BibTeX XML Cite \textit{S.-Q. Liu} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 037, 18 p. (2022; Zbl 07537219) Full Text: DOI OpenURL
Su, Xi Feng; Zhang, Jian Lu Essential forward weak KAM solution for the convex Hamilton-Jacobi equation. (English) Zbl 07537106 Acta Math. Sin., Engl. Ser. 38, No. 5, 797-806 (2022). MSC: 35B40 35D40 35F21 37K55 49L25 PDF BibTeX XML Cite \textit{X. F. Su} and \textit{J. L. Zhang}, Acta Math. Sin., Engl. Ser. 38, No. 5, 797--806 (2022; Zbl 07537106) Full Text: DOI OpenURL
Geng, Xianguo; Wei, Jiao Three-sheeted Riemann surface and solutions of the Itoh-Narita-Bogoyavlensky lattice hierarchy. (English) Zbl 07535850 Rev. Math. Phys. 34, No. 4, Article ID 2250009, 27 p. (2022). MSC: 37K10 37K40 37K20 14H42 PDF BibTeX XML Cite \textit{X. Geng} and \textit{J. Wei}, Rev. Math. Phys. 34, No. 4, Article ID 2250009, 27 p. (2022; Zbl 07535850) Full Text: DOI OpenURL
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan Spin generalizations of the Benjamin-Ono equation. (English) Zbl 07535722 Lett. Math. Phys. 112, No. 3, Paper No. 50, 45 p. (2022). MSC: 35Q51 35Q53 35Q35 35Q82 82D40 35C08 37K10 35R09 45K05 PDF BibTeX XML Cite \textit{B. K. Berntson} et al., Lett. Math. Phys. 112, No. 3, Paper No. 50, 45 p. (2022; Zbl 07535722) Full Text: DOI OpenURL
Fehér, L.; Juhász, B. A note on quadratic Poisson brackets on \(\text{gl}(n,{\mathbb{R}})\) related to Toda lattices. (English) Zbl 07535718 Lett. Math. Phys. 112, No. 3, Paper No. 45, 9 p. (2022). MSC: 70H06 37J15 37K10 PDF BibTeX XML Cite \textit{L. Fehér} and \textit{B. Juhász}, Lett. Math. Phys. 112, No. 3, Paper No. 45, 9 p. (2022; Zbl 07535718) Full Text: DOI OpenURL
Gong, Ruizhi; Shi, Yuren; Wang, Deng-Shan Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions. (English) Zbl 07535662 Discrete Contin. Dyn. Syst. 42, No. 7, 3355-3378 (2022). MSC: 35C07 35G55 35Q51 37C75 37K10 PDF BibTeX XML Cite \textit{R. Gong} et al., Discrete Contin. Dyn. Syst. 42, No. 7, 3355--3378 (2022; Zbl 07535662) Full Text: DOI OpenURL
Li, Li; Liu, Yiyan; Yu, Fajun Some reverse space(RS) rational solutions for the nonlocal coupled nonlinear Schrödinger equations on the plane wave backgrounds. (English) Zbl 07534452 Appl. Math. Lett. 129, Article ID 107976, 9 p. (2022). MSC: 35Q55 35Q51 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{L. Li} et al., Appl. Math. Lett. 129, Article ID 107976, 9 p. (2022; Zbl 07534452) Full Text: DOI OpenURL
Akinyemi, Lanre; Mirzazadeh, Mohammad; Hosseini, Kamyar Solitons and other solutions of perturbed nonlinear Biswas-Milovic equation with Kudryashov’s law of refractive index. (English) Zbl 07534408 Nonlinear Anal., Model. Control 27, No. 3, 479-495 (2022). MSC: 35Qxx 35Cxx 37Kxx PDF BibTeX XML Cite \textit{L. Akinyemi} et al., Nonlinear Anal., Model. Control 27, No. 3, 479--495 (2022; Zbl 07534408) Full Text: DOI OpenURL
Frasca-Caccia, Gianluca; Hydon, Peter E. A new technique for preserving conservation laws. (English) Zbl 07533996 Found. Comput. Math. 22, No. 2, 477-506 (2022). MSC: 65M06 37K05 39A14 PDF BibTeX XML Cite \textit{G. Frasca-Caccia} and \textit{P. E. Hydon}, Found. Comput. Math. 22, No. 2, 477--506 (2022; Zbl 07533996) Full Text: DOI OpenURL
Ma, Wen-Xiu \(N\)-soliton solutions and the Hirota conditions in (1 + 1)-dimensions. (English) Zbl 07533159 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 1, 123-133 (2022). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma}, Int. J. Nonlinear Sci. Numer. Simul. 23, No. 1, 123--133 (2022; Zbl 07533159) Full Text: DOI OpenURL
Shen, Yali; Yao, Ruoxia Novel particular solutions, breathers, and rogue waves for an integrable nonlocal derivative nonlinear Schrödinger equation. (English) Zbl 07532771 Adv. Math. Phys. 2022, Article ID 7670773, 9 p. (2022). MSC: 35Q55 35Q41 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{R. Yao}, Adv. Math. Phys. 2022, Article ID 7670773, 9 p. (2022; Zbl 07532771) Full Text: DOI OpenURL
Xun, Weikang; Fan, Engui Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions. (English) Zbl 07531822 J. Differ. Equations 329, 89-130 (2022). MSC: 35Q51 35Q53 35Q55 35Q15 37K10 37K15 35C20 35B40 35C08 41A60 34M55 PDF BibTeX XML Cite \textit{W. Xun} and \textit{E. Fan}, J. Differ. Equations 329, 89--130 (2022; Zbl 07531822) Full Text: DOI OpenURL
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie; Fan, Engui Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions. (English) Zbl 07531821 J. Differ. Equations 329, 31-88 (2022). MSC: 35Q15 35Q51 35C20 37K10 37K15 41A60 35C08 35B40 PDF BibTeX XML Cite \textit{Z.-Q. Li} et al., J. Differ. Equations 329, 31--88 (2022; Zbl 07531821) Full Text: DOI OpenURL
Malham, Simon J. A. Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations. (English) Zbl 07531633 IMA J. Appl. Math. 87, No. 2, 231-259 (2022). MSC: 35Q55 35Q41 35A22 37K10 45B05 65R20 PDF BibTeX XML Cite \textit{S. J. A. Malham}, IMA J. Appl. Math. 87, No. 2, 231--259 (2022; Zbl 07531633) Full Text: DOI OpenURL
Uhlenbeck, Karen K. The Noether theorems and their application to variational problems on a hyperbolic surface. (English) Zbl 07531298 Lond. Math. Soc., Newsl. 2022, No. 500, 45-49 (2022). MSC: 37K58 58E30 49Q05 PDF BibTeX XML Cite \textit{K. K. Uhlenbeck}, Lond. Math. Soc., Newsl. 2022, No. 500, 45--49 (2022; Zbl 07531298) Full Text: Link OpenURL
Himonas, A. Alexandrou; Holliman, Curtis Instability and nonuniqueness for the \(b\)-Novikov equation. (English) Zbl 07530807 J. Nonlinear Sci. 32, No. 4, Paper No. 46, 29 p. (2022). MSC: 35Q53 37K10 35C08 35C07 35A01 35A02 PDF BibTeX XML Cite \textit{A. A. Himonas} and \textit{C. Holliman}, J. Nonlinear Sci. 32, No. 4, Paper No. 46, 29 p. (2022; Zbl 07530807) Full Text: DOI OpenURL
Cho, Joseph; Leschke, Katrin; Ogata, Yuta Generalised Bianchi permutability for isothermic surfaces. (English) Zbl 07530356 Ann. Global Anal. Geom. 61, No. 4, 799-829 (2022). MSC: 53A05 37J39 37K35 PDF BibTeX XML Cite \textit{J. Cho} et al., Ann. Global Anal. Geom. 61, No. 4, 799--829 (2022; Zbl 07530356) Full Text: DOI OpenURL
Gormley, B.; Ferapontov, E. V.; Novikov, V. S.; Pavlov, M. V. Integrable systems of the intermediate long wave type in \(2 + 1\) dimensions. (English) Zbl 07529721 Physica D 435, Article ID 133310, 9 p. (2022). MSC: 35A22 35Q35 37K10 PDF BibTeX XML Cite \textit{B. Gormley} et al., Physica D 435, Article ID 133310, 9 p. (2022; Zbl 07529721) Full Text: DOI OpenURL
Gordoa, P. R.; Pickering, A.; Wattis, J. A. D. Solution classes of the matrix second Painlevé hierarchy. (English) Zbl 07529716 Physica D 435, Article ID 133295, 17 p. (2022). MSC: 35A22 37K35 PDF BibTeX XML Cite \textit{P. R. Gordoa} et al., Physica D 435, Article ID 133295, 17 p. (2022; Zbl 07529716) Full Text: DOI OpenURL
Mu, Gui; Qin, Zhenyun High order rational solitons and their dynamics of the 3-wave resonant interaction equation. (English) Zbl 07529712 Physica D 435, Article ID 133287, 11 p. (2022). MSC: 35C08 35Q51 37K10 PDF BibTeX XML Cite \textit{G. Mu} and \textit{Z. Qin}, Physica D 435, Article ID 133287, 11 p. (2022; Zbl 07529712) Full Text: DOI OpenURL
Sakkaravarthi, K.; Kanna, T.; Mareeswaran, R. Babu Higher-order optical rogue waves in spatially inhomogeneous multimode fiber. (English) Zbl 07529711 Physica D 435, Article ID 133285, 17 p. (2022). MSC: 35Q55 35Q41 78A60 35C08 37K35 33E05 PDF BibTeX XML Cite \textit{K. Sakkaravarthi} et al., Physica D 435, Article ID 133285, 17 p. (2022; Zbl 07529711) Full Text: DOI OpenURL
Peng, Wei-Qi; Chen, Yong \(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm. (English) Zbl 07529707 Physica D 435, Article ID 133274, 17 p. (2022). MSC: 35Q15 35Q53 68T07 35B40 35C08 37K35 35R30 PDF BibTeX XML Cite \textit{W.-Q. Peng} and \textit{Y. Chen}, Physica D 435, Article ID 133274, 17 p. (2022; Zbl 07529707) Full Text: DOI OpenURL
Geng, Xianguo; Li, Ruomeng; Xue, Bo A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. (English) Zbl 07529702 Physica D 434, Article ID 133270, 11 p. (2022). MSC: 35C08 35Q51 35Q55 37K10 PDF BibTeX XML Cite \textit{X. Geng} et al., Physica D 434, Article ID 133270, 11 p. (2022; Zbl 07529702) Full Text: DOI OpenURL
Luo, Jinghua; Fan, Engui \( \overline{\partial} \)-dressing method for the nonlocal mKdV equation. (English) Zbl 07529311 J. Geom. Phys. 177, Article ID 104550, 8 p. (2022). MSC: 35Q53 35C08 35P05 37K10 PDF BibTeX XML Cite \textit{J. Luo} and \textit{E. Fan}, J. Geom. Phys. 177, Article ID 104550, 8 p. (2022; Zbl 07529311) Full Text: DOI OpenURL
Ma, Wen-Xiu Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions. (English) Zbl 07529307 J. Geom. Phys. 177, Article ID 104522, 9 p. (2022). MSC: 37K15 35Q55 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma}, J. Geom. Phys. 177, Article ID 104522, 9 p. (2022; Zbl 07529307) Full Text: DOI OpenURL
Seadawy, Aly R.; Akram, Urooj; Rizvi, Syed T. R. Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion. (English) Zbl 07529306 J. Geom. Phys. 177, Article ID 104521, 16 p. (2022). MSC: 35C08 35Q55 37K10 PDF BibTeX XML Cite \textit{A. R. Seadawy} et al., J. Geom. Phys. 177, Article ID 104521, 16 p. (2022; Zbl 07529306) Full Text: DOI OpenURL
Chen, Aiyong; Deng, Tongjie; Qiao, Zhijun Stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation. (English) Zbl 07528113 Monatsh. Math. 198, No. 2, 251-288 (2022). MSC: 35B35 35C08 35G25 37K05 37K45 PDF BibTeX XML Cite \textit{A. Chen} et al., Monatsh. Math. 198, No. 2, 251--288 (2022; Zbl 07528113) Full Text: DOI OpenURL
Lakestani, Mehrdad; Manafian, Jalil; Najafizadeh, Ali Reza; Partohaghighi, Mohammad Some new soliton solutions for the nonlinear the fifth-order integrable equations. (English) Zbl 07527955 Comput. Methods Differ. Equ. 10, No. 2, 445-460 (2022). MSC: 35Q51 35C08 37K10 37K40 35G50 PDF BibTeX XML Cite \textit{M. Lakestani} et al., Comput. Methods Differ. Equ. 10, No. 2, 445--460 (2022; Zbl 07527955) Full Text: DOI OpenURL
Duran, Henry; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna Moving discrete breathers in a \(\beta\)-FPU lattice revisited. (English) Zbl 07526843 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106435, 15 p. (2022). MSC: 82Cxx 37Kxx 65Lxx PDF BibTeX XML Cite \textit{H. Duran} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106435, 15 p. (2022; Zbl 07526843) Full Text: DOI OpenURL
Porubov, E. O.; Tsiganov, A. V. On two-dimensional Hamiltonian systems with sixth-order integrals of motion. (English) Zbl 07526716 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106404, 13 p. (2022). MSC: 37Jxx 70Hxx 37Kxx PDF BibTeX XML Cite \textit{E. O. Porubov} and \textit{A. V. Tsiganov}, Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106404, 13 p. (2022; Zbl 07526716) Full Text: DOI OpenURL
Li, Chuanzhong Plethystic B-type KP and universal character hierarchies. (English) Zbl 07526622 J. Algebr. Comb. 55, No. 3, 691-714 (2022). MSC: 37K05 37K10 PDF BibTeX XML Cite \textit{C. Li}, J. Algebr. Comb. 55, No. 3, 691--714 (2022; Zbl 07526622) Full Text: DOI OpenURL
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H.; Zhu, Yi Integrable nonlocal derivative nonlinear Schrödinger equations. (English) Zbl 07525934 Inverse Probl. 38, No. 6, Article ID 065003, 34 p. (2022). MSC: 35Q55 35Q15 37K10 37K15 37K40 35C08 35B40 PDF BibTeX XML Cite \textit{M. J. Ablowitz} et al., Inverse Probl. 38, No. 6, Article ID 065003, 34 p. (2022; Zbl 07525934) Full Text: DOI OpenURL
Hahn, Marvin Anas; Lewanski, Danilo Tropical jucys covers. (English) Zbl 07525054 Math. Z. 301, No. 2, 1719-1738 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14N10 14N30 14N35 37K20 PDF BibTeX XML Cite \textit{M. A. Hahn} and \textit{D. Lewanski}, Math. Z. 301, No. 2, 1719--1738 (2022; Zbl 07525054) Full Text: DOI OpenURL
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics. (English) Zbl 07524907 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 60, 15 p. (2022). MSC: 35Q35 37K35 37N10 76B15 35C08 68W30 PDF BibTeX XML Cite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 60, 15 p. (2022; Zbl 07524907) Full Text: DOI OpenURL
Yang, Yiling; Fan, Engui On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions. (English) Zbl 07524888 Adv. Math. 402, Article ID 108340, 78 p. (2022). MSC: 35Q51 35Q15 37K15 35C20 35B40 35B35 35C08 41A60 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{E. Fan}, Adv. Math. 402, Article ID 108340, 78 p. (2022; Zbl 07524888) Full Text: DOI OpenURL
Chang, Xiang-Ke Hermite-Padé approximations with Pfaffian structures: Novikov peakon equation and integrable lattices. (English) Zbl 07524887 Adv. Math. 402, Article ID 108338, 45 p. (2022). MSC: 41A20 42C05 37K10 37K60 30E10 PDF BibTeX XML Cite \textit{X.-K. Chang}, Adv. Math. 402, Article ID 108338, 45 p. (2022; Zbl 07524887) Full Text: DOI OpenURL
Matveev, V. B.; Smirnov, A. O. Elliptic solitons and “freak waves”. (English. Russian original) Zbl 07524507 St. Petersbg. Math. J. 33, No. 3, 523-551 (2022); translation from Algebra Anal. 33, No. 3, 129-168 (2021). MSC: 37K10 35Q53 35Q55 PDF BibTeX XML Cite \textit{V. B. Matveev} and \textit{A. O. Smirnov}, St. Petersbg. Math. J. 33, No. 3, 523--551 (2022; Zbl 07524507); translation from Algebra Anal. 33, No. 3, 129--168 (2021) Full Text: DOI OpenURL
Wei, Han-Yu; Fan, En-Gui; Ma, Wen-Xiu Completion of the Guo-hierarchy integrable coupling with self-consistent sources in a nonlinear wave system. (English) Zbl 1485.35336 East Asian J. Appl. Math. 12, No. 3, 521-534 (2022). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{H.-Y. Wei} et al., East Asian J. Appl. Math. 12, No. 3, 521--534 (2022; Zbl 1485.35336) Full Text: DOI OpenURL
Lin, Shuning; Chen, Yong A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions. (English) Zbl 07523814 J. Comput. Phys. 457, Article ID 111053, 26 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{S. Lin} and \textit{Y. Chen}, J. Comput. Phys. 457, Article ID 111053, 26 p. (2022; Zbl 07523814) Full Text: DOI OpenURL
Zhou, Xin-Mei; Zhang, Tian-Tian; Zhu, Chenghao; Chen, Yi-Ren Transition of the breather wave of six-order nonlinear Schrödinger equation. (English) Zbl 07523673 Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022). MSC: 35Q55 37K35 35C08 35B05 PDF BibTeX XML Cite \textit{X.-M. Zhou} et al., Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022; Zbl 07523673) Full Text: DOI OpenURL
Ma, Li-Yuan; Shen, Shou-Feng; Zhu, Zuo-Nong From discrete nonlocal nonlinear Schrödinger equation to coupled discrete Heisenberg ferromagnet equation. (English) Zbl 07523639 Appl. Math. Lett. 130, Article ID 108002, 7 p. (2022). MSC: 35Q55 35Q41 37K10 37K35 39A12 81T13 82D40 PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Appl. Math. Lett. 130, Article ID 108002, 7 p. (2022; Zbl 07523639) Full Text: DOI OpenURL
Wang, Xin; Wei, Jiao Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal \(\mathcal{PT}\) symmetric nonlinear Schrödinger equation. (English) Zbl 07523637 Appl. Math. Lett. 130, Article ID 107998, 8 p. (2022). MSC: 35Q55 35Q41 35C08 37K35 15A18 PDF BibTeX XML Cite \textit{X. Wang} and \textit{J. Wei}, Appl. Math. Lett. 130, Article ID 107998, 8 p. (2022; Zbl 07523637) Full Text: DOI OpenURL
Peng, Linyu A modified formal Lagrangian formulation for general differential equations. (English) Zbl 07523439 Japan J. Ind. Appl. Math. 39, No. 2, 573-598 (2022). MSC: 37K06 35A15 76M60 PDF BibTeX XML Cite \textit{L. Peng}, Japan J. Ind. Appl. Math. 39, No. 2, 573--598 (2022; Zbl 07523439) Full Text: DOI OpenURL
Kamimura, Yutaka Energy-dependent reflectionless inverse scattering. (English) Zbl 07523064 Publ. Res. Inst. Math. Sci. 58, No. 2, 379-440 (2022). MSC: 35Q53 37K10 37K40 81U40 PDF BibTeX XML Cite \textit{Y. Kamimura}, Publ. Res. Inst. Math. Sci. 58, No. 2, 379--440 (2022; Zbl 07523064) Full Text: DOI OpenURL
Shi, Yanling Quasi-periodic solutions of fractional nonlinear Schrödinger equation systems. (English) Zbl 07518221 Appl. Anal. 101, No. 6, 2019-2043 (2022). MSC: 37K55 PDF BibTeX XML Cite \textit{Y. Shi}, Appl. Anal. 101, No. 6, 2019--2043 (2022; Zbl 07518221) Full Text: DOI OpenURL
Corsi, Livia; Genovese, Giuseppe Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing. (English) Zbl 07517647 Ann. Henri Poincaré 23, No. 5, 1555-1581 (2022). MSC: 82C10 37K55 45D05 PDF BibTeX XML Cite \textit{L. Corsi} and \textit{G. Genovese}, Ann. Henri Poincaré 23, No. 5, 1555--1581 (2022; Zbl 07517647) Full Text: DOI OpenURL
Mi, Lufang; Li, Jing Quasi-periodic solutions for a Schrödinger equation under periodic boundary conditions with given potential. (English) Zbl 07517627 J. Differ. Equations 326, 313-343 (2022). MSC: 37K55 35Q55 35Q41 PDF BibTeX XML Cite \textit{L. Mi} and \textit{J. Li}, J. Differ. Equations 326, 313--343 (2022; Zbl 07517627) Full Text: DOI OpenURL
Holmer, Justin; Zhang, Katherine Zhiyuan Benjamin-Ono soliton dynamics in a slowly varying potential revisited. (English) Zbl 07517191 SIAM J. Math. Anal. 54, No. 2, 2634-2690 (2022). MSC: 35Q53 35Q51 37K40 35C08 35A22 44A15 PDF BibTeX XML Cite \textit{J. Holmer} and \textit{K. Z. Zhang}, SIAM J. Math. Anal. 54, No. 2, 2634--2690 (2022; Zbl 07517191) Full Text: DOI OpenURL
Nakazono, Nobutaka Properties of the non-autonomous lattice sine-Gordon equation: consistency around a broken cube property. (English) Zbl 07516863 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 032, 8 p. (2022). MSC: 37K10 39A14 39A45 PDF BibTeX XML Cite \textit{N. Nakazono}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 032, 8 p. (2022; Zbl 07516863) Full Text: DOI OpenURL
Zhou, Yuqian; Chen, Guanrong; Li, Jibin Bifurcations, exact peakon, periodic peakons and solitary wave solutions of the modified Camassa-Holm equation. (English) Zbl 07515554 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250076, 11 p. (2022). MSC: 35Q53 37K40 37K50 35C07 35C08 35C09 35B10 35B32 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250076, 11 p. (2022; Zbl 07515554) Full Text: DOI OpenURL
Cong, Hongzi; Mi, Lufang; Wu, Xiaoqing; Zhang, Qidi Exponential stability estimate for the derivative nonlinear Schrödinger equation. (English) Zbl 07515326 Nonlinearity 35, No. 5, 2385-2423 (2022). MSC: 37K55 37J40 35B35 35Q35 PDF BibTeX XML Cite \textit{H. Cong} et al., Nonlinearity 35, No. 5, 2385--2423 (2022; Zbl 07515326) Full Text: DOI OpenURL
Lizaur, Francisco Torres de Chaos in the incompressible Euler equation on manifolds of high dimension. (English) Zbl 07514025 Invent. Math. 228, No. 2, 687-715 (2022). MSC: 35Q31 35R01 37K99 76B03 PDF BibTeX XML Cite \textit{F. T. de Lizaur}, Invent. Math. 228, No. 2, 687--715 (2022; Zbl 07514025) Full Text: DOI OpenURL
Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit A port-Hamiltonian formulation of coupled heat transfer. (English) Zbl 07513095 Math. Comput. Model. Dyn. Syst. 28, No. 1, 78-94 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 80A19 37K06 35A01 35A02 35Q79 35Q49 PDF BibTeX XML Cite \textit{J. Jäschke} et al., Math. Comput. Model. Dyn. Syst. 28, No. 1, 78--94 (2022; Zbl 07513095) Full Text: DOI OpenURL
Lou, Yu; Zhang, Yi; Ye, Rusuo Higher-order semi-rational solutions for the coupled complex modified Korteweg-de Vries equation. (English) Zbl 1484.35330 Math. Model. Nat. Phenom. 17, Paper No. 4, 15 p. (2022). MSC: 35Q51 37K40 74H05 PDF BibTeX XML Cite \textit{Y. Lou} et al., Math. Model. Nat. Phenom. 17, Paper No. 4, 15 p. (2022; Zbl 1484.35330) Full Text: DOI OpenURL
Hu, Hengchun; Li, Xiaodan Nonlocal symmetry and interaction solutions for the new \((3+1)\)-dimensional integrable Boussinesq equation. (English) Zbl 1484.35328 Math. Model. Nat. Phenom. 17, Paper No. 2, 10 p. (2022). MSC: 35Q51 37K40 PDF BibTeX XML Cite \textit{H. Hu} and \textit{X. Li}, Math. Model. Nat. Phenom. 17, Paper No. 2, 10 p. (2022; Zbl 1484.35328) Full Text: DOI OpenURL
van Diejen, Jan Felipe; Görbe, Tamás Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry. (English) Zbl 07512347 Commun. Math. Phys. 392, No. 1, 279-305 (2022). MSC: 37Kxx 37Jxx 33Dxx PDF BibTeX XML Cite \textit{J. F. van Diejen} and \textit{T. Görbe}, Commun. Math. Phys. 392, No. 1, 279--305 (2022; Zbl 07512347) Full Text: DOI OpenURL
Casati, Matteo; Wang, Jing Ping Hamiltonian structures for integrable nonabelian difference equations. (English) Zbl 07512346 Commun. Math. Phys. 392, No. 1, 219-278 (2022). MSC: 37Kxx 17Bxx 53Dxx PDF BibTeX XML Cite \textit{M. Casati} and \textit{J. P. Wang}, Commun. Math. Phys. 392, No. 1, 219--278 (2022; Zbl 07512346) Full Text: DOI OpenURL
Iglesias, Francisco Hernández; Shadrin, Sergey Bi-Hamiltonian recursion, Liu-Pandharipande relations, and vanishing terms of the second Dubrovin-Zhang bracket. (English) Zbl 07512341 Commun. Math. Phys. 392, No. 1, 55-87 (2022). MSC: 37Kxx 81Txx 53Dxx PDF BibTeX XML Cite \textit{F. H. Iglesias} and \textit{S. Shadrin}, Commun. Math. Phys. 392, No. 1, 55--87 (2022; Zbl 07512341) Full Text: DOI OpenURL
Jendrej, Jacek; Lawrie, Andrew An asymptotic expansion of two-bubble wave maps in high equivariance classes. (English) Zbl 07511976 Anal. PDE 15, No. 2, 327-403 (2022). MSC: 35C08 35A15 35C20 35L05 37K40 PDF BibTeX XML Cite \textit{J. Jendrej} and \textit{A. Lawrie}, Anal. PDE 15, No. 2, 327--403 (2022; Zbl 07511976) Full Text: DOI OpenURL
Bak, Sergiy Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice. (English) Zbl 07511504 Arch. Math., Brno 58, No. 1, 1-13 (2022). MSC: 34C15 37K58 37K60 74J30 PDF BibTeX XML Cite \textit{S. Bak}, Arch. Math., Brno 58, No. 1, 1--13 (2022; Zbl 07511504) Full Text: DOI OpenURL
Comech, Andrew On solutions with compact spectrum to nonlinear Klein-Gordon and Schrödinger equations. (English) Zbl 07510652 SIAM J. Math. Anal. 54, No. 2, 2128-2141 (2022). MSC: 35B10 35C08 35B40 35B41 35L71 35Q41 35Q55 37K40 81Q05 PDF BibTeX XML Cite \textit{A. Comech}, SIAM J. Math. Anal. 54, No. 2, 2128--2141 (2022; Zbl 07510652) Full Text: DOI OpenURL
Bernier, Joackim; Grébert, Benoît Birkhoff normal forms for Hamiltonian PDEs in their energy space. (Formes normales de Birkhoff pour les EDP Hamiltoniennes dans l’espace d’énergie.) (English. French summary) Zbl 07510279 J. Éc. Polytech., Math. 9, 681-745 (2022). MSC: 35Q55 81Q05 37K55 35P20 35B65 PDF BibTeX XML Cite \textit{J. Bernier} and \textit{B. Grébert}, J. Éc. Polytech., Math. 9, 681--745 (2022; Zbl 07510279) Full Text: DOI OpenURL
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes. (English) Zbl 07509414 J. Eur. Math. Soc. (JEMS) 24, No. 6, 2133-2167 (2022). MSC: 35C08 35B40 35L71 37K40 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., J. Eur. Math. Soc. (JEMS) 24, No. 6, 2133--2167 (2022; Zbl 07509414) Full Text: DOI OpenURL
Keating, David; Reshetikhin, Nicolai; Sridhar, Ananth Integrability of limit shapes of the inhomogeneous six vertex model. (English) Zbl 07509384 Commun. Math. Phys. 391, No. 3, 1181-1207 (2022). MSC: 82B20 82B23 81R12 81U40 47A40 16T25 37K15 PDF BibTeX XML Cite \textit{D. Keating} et al., Commun. Math. Phys. 391, No. 3, 1181--1207 (2022; Zbl 07509384) Full Text: DOI OpenURL
Osipov, Andrey Deficiency indices of block Jacobi matrices and Miura transformation. (English) Zbl 07507325 Spec. Matrices 10, 234-250 (2022). MSC: 47B36 44A60 37K15 42C05 PDF BibTeX XML Cite \textit{A. Osipov}, Spec. Matrices 10, 234--250 (2022; Zbl 07507325) Full Text: DOI OpenURL
Ye, Rusuo; Zhang, Yi; Ma, Wen-Xiu Bound states of dark solitons in \(N\)-coupled complex modified Korteweg-de Vries equations. (English) Zbl 07506760 Acta Appl. Math. 178, Paper No. 7, 10 p. (2022). MSC: 37K15 37K35 37K40 PDF BibTeX XML Cite \textit{R. Ye} et al., Acta Appl. Math. 178, Paper No. 7, 10 p. (2022; Zbl 07506760) Full Text: DOI OpenURL
Liu, Shujuan Almost-periodic solutions for a quasi-periodically forced nonlinear Schrödinger equation. (English) Zbl 07506488 Indian J. Pure Appl. Math. 53, No. 1, 10-31 (2022). MSC: 35B15 35Q55 37K55 PDF BibTeX XML Cite \textit{S. Liu}, Indian J. Pure Appl. Math. 53, No. 1, 10--31 (2022; Zbl 07506488) Full Text: DOI OpenURL
Blackmore, Denis; Prykarpatsky, Yarema; Prytula, Mykola M.; Dutykh, Denys; Prykarpatski, Anatolij K. On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries. (English) Zbl 07506378 Anal. Math. Phys. 12, No. 2, Paper No. 66, 26 p. (2022). MSC: 17B68 17B80 35Q53 35G25 35N10 37K35 58J70 58J72 34A34 37K05 37K10 PDF BibTeX XML Cite \textit{D. Blackmore} et al., Anal. Math. Phys. 12, No. 2, Paper No. 66, 26 p. (2022; Zbl 07506378) Full Text: DOI OpenURL
Li, Luen-Chau Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps. (English) Zbl 07506354 Math. Phys. Anal. Geom. 25, No. 1, Paper No. 6, 51 p. (2022). MSC: 16T15 37J39 37K25 35Q55 35C08 PDF BibTeX XML Cite \textit{L.-C. Li}, Math. Phys. Anal. Geom. 25, No. 1, Paper No. 6, 51 p. (2022; Zbl 07506354) Full Text: DOI OpenURL
Novruzov, Emil; Bayrak, Vural Blow-up criteria for a two-component nonlinear dispersive wave system. (English) Zbl 07505260 J. Funct. Anal. 282, No. 12, Article ID 109454, 19 p. (2022). MSC: 35B44 35L71 35L90 37K10 74K10 PDF BibTeX XML Cite \textit{E. Novruzov} and \textit{V. Bayrak}, J. Funct. Anal. 282, No. 12, Article ID 109454, 19 p. (2022; Zbl 07505260) Full Text: DOI OpenURL
Li, Jinlu; Yu, Yanghai; Zhu, Weipeng Sharp ill-posedness for the generalized Camassa-Holm equation in Besov spaces. (English) Zbl 07504663 J. Evol. Equ. 22, No. 1, Paper No. 29, 11 p. (2022). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{J. Li} et al., J. Evol. Equ. 22, No. 1, Paper No. 29, 11 p. (2022; Zbl 07504663) Full Text: DOI OpenURL
Giorgilli, Antonio Notes on Hamiltonian dynamical systems. (English) Zbl 07504269 London Mathematical Society Student Texts 102. Cambridge: Cambridge University Press (ISBN 978-1-00-915113-9/pbk; 978-1-00-915114-6/hbk; 978-1-00-915112-2/ebook). xx, 452 p. (2022). MSC: 37-01 37Kxx PDF BibTeX XML Cite \textit{A. Giorgilli}, Notes on Hamiltonian dynamical systems. Cambridge: Cambridge University Press (2022; Zbl 07504269) Full Text: DOI OpenURL
Ferapontov, E. V.; Pavlov, M. V. Kinetic equation for soliton gas: integrable reductions. (English) Zbl 07502702 J. Nonlinear Sci. 32, No. 2, Paper No. 26, 22 p. (2022). MSC: 35Q51 35Q35 35C08 37K10 82C40 35R09 45K05 PDF BibTeX XML Cite \textit{E. V. Ferapontov} and \textit{M. V. Pavlov}, J. Nonlinear Sci. 32, No. 2, Paper No. 26, 22 p. (2022; Zbl 07502702) Full Text: DOI OpenURL
Zhang, Jingxuan A generic framework of adiabatic approximation for nonlinear evolutions. (English) Zbl 07502552 Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022). MSC: 37L05 37L25 37K06 37K40 PDF BibTeX XML Cite \textit{J. Zhang}, Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022; Zbl 07502552) Full Text: DOI OpenURL
Krichever, I.; Zabrodin, A. Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model. (English) Zbl 07502544 Lett. Math. Phys. 112, No. 2, Paper No. 23, 26 p. (2022). MSC: 35Q53 70H06 37K10 PDF BibTeX XML Cite \textit{I. Krichever} and \textit{A. Zabrodin}, Lett. Math. Phys. 112, No. 2, Paper No. 23, 26 p. (2022; Zbl 07502544) Full Text: DOI OpenURL
Chen, Guanwei; Schechter, Martin Multiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms. (English) Zbl 07501087 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2107-2114 (2022). MSC: 35Q55 39A12 39A70 35B40 34B20 37K60 PDF BibTeX XML Cite \textit{G. Chen} and \textit{M. Schechter}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2107--2114 (2022; Zbl 07501087) Full Text: DOI OpenURL