Han, Peng-Fei; Ma, Wen-Xiu; Ye, Ru-Suo; Zhang, Yi Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-zero boundary conditions: multiple double-pole solutions. (English) Zbl 07973248 Physica D 471, Article ID 134434, 29 p. (2025). MSC: 35Q55 35Q41 35Q15 37K15 35K10 35C08 35P25 35P20 35B40 78A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Esfahani, Amin; Tesfahun, Achenef Well-posedness and analyticity of solutions for the sixth-order Boussinesq equation. (English) Zbl 07955303 Commun. Contemp. Math. 27, No. 2, Article ID 2450005, 29 p. (2025). MSC: 35A20 35B45 35L70 35Q53 37K10 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Yuanyang The concentration of multiplicity solutions for a class Hamiltonian elliptic systems. (English) Zbl 07950014 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 8, 38 p. (2025). MSC: 35J47 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Brzeźniak, Zdzisław; Jendrej, Jacek Statistical mechanics of the wave maps equation in dimension \(1+1\). (English) Zbl 07945290 J. Funct. Anal. 288, No. 1, Article ID 110688, 50 p. (2025). MSC: 35L71 58D20 37K06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Acevedo, Ignacio; Muñoz, Claudio Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole. arXiv:2501.12790 Preprint, arXiv:2501.12790 [math.AP] (2025). MSC: 35L70 35B40 37K40 70S15 83C57 × Cite Format Result Cite Full Text: arXiv OA License
Martinez, Ryan The Modified Energy Method for Quasilinear Wave Equations of Kirchhoff Type. arXiv:2501.06384 Preprint, arXiv:2501.06384 [math.AP] (2025). MSC: 35L72 37K45 × Cite Format Result Cite Full Text: arXiv OA License
Kaplun, Aleksandr; Katsnelson, Boris Dynamical space-time ray tracing and modified horizontal ray method. arXiv:2501.03856 Preprint, arXiv:2501.03856 [math-ph] (2025). MSC: 34A30 34A12 34B24 35L05 35L20 70H05 70H09 76Q05 × Cite Format Result Cite Full Text: arXiv OA License
Fei, Jiayi; Zhang, Qiongfen Normalized ground states for a kind of Choquard-Kirchhoff equations with critical nonlinearities. (English) Zbl 07978385 Bound. Value Probl. 2024, Paper No. 142, 22 p. (2024). MSC: 35J20 34C37 35J15 35R09 37J46 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Kruglikov, Boris; Makhmali, Omid Zero-curvature subconformal structures and dispersionless integrability in dimension five. (English) Zbl 07963340 J. Lond. Math. Soc., II. Ser. 110, No. 6, Article ID e70026, 41 p. (2024). MSC: 35A30 35L70 37K10 53C25 53C28 58A20 58J60 14D21 32L25 35Q75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amadori, Anna Lisa Some remarks about the Morse index for convex Hamiltonian systems. (English) Zbl 07944356 J. Elliptic Parabol. Equ. 10, No. 2, 1255-1274 (2024). MSC: 35J57 35P05 35B06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuxia; Wu, Shengyu Periodic solution for critical Hamiltonian systems in a strip. (English) Zbl 07938851 J. Differ. Equations 411, 268-314 (2024). MSC: 35J47 35J61 35B10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jun An abstract instability theorem of the bound states for Hamiltonian PDEs and its application. (English) Zbl 1546.35058 Ann. Mat. Pura Appl. (4) 203, No. 4, 1879-1897 (2024). MSC: 35J47 35J61 37J06 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Fangfang; Wang, Tianfang; Zhang, Wen Sequences of small energy solutions for subquadratic Hamiltonian elliptic system. (English) Zbl 1546.35055 Appl. Math. Lett. 158, Article ID 109260, 6 p. (2024). MSC: 35J47 35J61 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Severo, Uberlandio; de Souza, Manassés; Menezes, Marta On a class of Hamiltonian systems in the plane involving general nonlinearities with critical exponential growth. (English) Zbl 1547.35274 Commun. Pure Appl. Anal. 23, No. 6, 736-754 (2024). MSC: 35J47 35J61 35B33 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Hazanee, Areena; Makaje, Nifatamah Determination of unknown time-dependent heat source in inverse problems under nonlocal boundary conditions by finite integration method. (English) Zbl 1544.35208 Kyungpook Math. J. 64, No. 2, 353-369 (2024). MSC: 35R30 35K20 35N30 37J35 60H50 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Qian; Xiao, Aiguo; Yan, Xiaoqiang; Liu, Guidong A class of polynomial approximation methods to second-order delay differential equations. (English) Zbl 07890916 J. Comput. Appl. Math. 451, Article ID 116085, 24 p. (2024). MSC: 65Lxx 65Pxx 34Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Kuang, Juhong; Guo, Zhiming Periodic solutions with prescribed minimal period for second-order Hamiltonian systems with non-symmetric potentials. (English) Zbl 07879171 Appl. Math. Lett. 155, Article ID 109123, 8 p. (2024). Reviewer: Juan Manuel Burgos (Ciudad de México) MSC: 37J46 37J51 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Carpentier, Sylvain; Lee, Gahng Sahn; Suh, Uhi Rinn Integrable systems on rectangular \(\mathcal{W}\)-superalgebras via super Adler-type operators. (English) Zbl 07877941 Commun. Math. Phys. 405, No. 7, Paper No. 165, 45 p. (2024). MSC: 35Q53 35K10 37J37 17B80 17B69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Ningning; Geng, Jiansheng; Lou, Zhaowei A KAM theorem for the time quasi-periodic reversible perturbations of linear wave equations beyond Brjuno conditions. (English) Zbl 1543.35108 J. Dyn. Differ. Equations 36, No. 2, 1065-1113 (2024). MSC: 35L71 35B15 35L20 37K55 × Cite Format Result Cite Review PDF Full Text: DOI
Vergallo, Pierandrea Non-homogeneous Hamiltonian structures for quasilinear systems. (English) Zbl 1547.37077 Boll. Unione Mat. Ital. 17, No. 2, 513-526 (2024). MSC: 37K06 35L72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuxia; Wu, Shengyu; Yan, Shusen Periodic solution for Hamiltonian type systems with critical growth. (English) Zbl 1546.35061 Calc. Var. Partial Differ. Equ. 63, No. 6, Paper No. 147, 47 p. (2024). MSC: 35J57 35J61 35B10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xing-yu; Lu, Bin-he; Zhang, Da-jun Non-auto Darboux transformation for \(N\)-soliton solutions of the non-isospectral Korteweg-de Vries hierarchy. (English) Zbl 07869424 Math. Methods Appl. Sci. 47, No. 9, 7518-7531 (2024). MSC: 37K35 37K40 35K10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Note on singular Sturm comparison theorem and strict majorant condition. (English) Zbl 07867877 J. Math. Anal. Appl. 538, No. 2, Article ID 128391, 16 p. (2024). Reviewer: Qiru Wang (Guangzhou) MSC: 34C10 37J06 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Bringmann, Bjoern On Gibbs measures and topological solitons of exterior equivariant wave maps. (English) Zbl 1541.35313 Rev. Mat. Iberoam. 40, No. 3, 859-900 (2024). MSC: 35L71 35C08 37K40 28C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dohnal, Tomáš; Pelinovsky, Dmitry E.; Schneider, Guido Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media. (English) Zbl 1537.35138 Nonlinearity 37, No. 5, Article ID 055005, 36 p. (2024). MSC: 35C07 35C20 35L71 37K50 37L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuxia; Hu, Yichen Infinitely many solutions for Hamiltonian system with critical growth. (English) Zbl 1539.35064 Adv. Nonlinear Anal. 13, Article ID 20230134, 31 p. (2024). MSC: 35J57 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Severo, Uberlandio B.; Souza, Manassés de; Menezes, Marta Hamiltonian systems involving exponential growth in \(\mathbb{R}^2\) with general nonlinearities. (English) Zbl 1541.35194 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 43, 27 p. (2024). MSC: 35J47 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Juan; Chen, Xueting Periodic solutions for second-order even and noneven Hamiltonian systems. (English) Zbl 1541.37071 Bound. Value Probl. 2024, Paper No. 3, 18 p. (2024). MSC: 37J46 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Si, Zheng; Zhao, Liqin The number of limit cycles of a kind of piecewise quadratic systems with switching curve \(y = x^m\). (English) Zbl 1541.34055 J. Math. Anal. Appl. 536, No. 2, Article ID 128178, 27 p. (2024). Reviewer: Maite Grau (Lleida) MSC: 34C07 34A36 34E10 34C23 34C05 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Changying; Liu, Kai A fourth-order energy-preserving and symmetric average vector field integrator with low regularity assumption. (English) Zbl 07829074 J. Comput. Appl. Math. 439, Article ID 115605, 15 p. (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Komech, Alexander; Kopylova, Elena On orbital stability of solitons for 2D Maxwell-Lorentz equations. (English) Zbl 1536.35048 Commun. Pure Appl. Anal. 23, No. 3, 325-338 (2024). MSC: 35B35 35C08 35L70 35Q61 37K40 37K06 47F05 70S05 70G65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Temgoua, Remi Yvant Symmetry breaking and multiplicity for supercritical elliptic Hamiltonian systems in exterior domains. (English) Zbl 1540.35182 J. Math. Anal. Appl. 536, No. 1, Article ID 128189, 23 p. (2024). MSC: 35J57 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jian; Zhou, Huitao; Mi, Heilong Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system. (English) Zbl 1534.35142 Adv. Nonlinear Anal. 13, Article ID 20230139, 23 p. (2024). MSC: 35J47 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Changying; Tang, Yumeng; Yu, Jiashang; Fang, Yonglei High-order symmetric and energy-preserving collocation integrators for the second-order Hamiltonian system. (English) Zbl 1535.65303 J. Math. Chem. 62, No. 2, 330-355 (2024). MSC: 65P10 34C14 65L05 65L06 65L20 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Miao, Zhen; Wang, Bin; Jiang, Yao-Lin Numerical conservations of energy, momentum and actions in the full discretisation for nonlinear wave equations. (English) Zbl 1531.65276 J. Sci. Comput. 98, No. 1, Paper No. 10, 22 p. (2024). MSC: 65P10 65L05 35L70 65M70 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Ghisi, Marina; Gobbino, Massimo A road map to the blow-up for a Kirchhoff equation with external force. (English) Zbl 1529.35086 Nonlinearity 37, No. 1, Article ID 015012, 26 p. (2024). MSC: 35B44 35L72 35L90 37J46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mu, Jingyu; Shi, Yiqian; Xu, Bin Solutions to \({\rm SU}(n+1)\) Toda system with cone singularities via toric curves on compact Riemann surfaces. arXiv:2405.03161 Preprint, arXiv:2405.03161 [math.DG] (2024). MSC: 37K10 35J47 × Cite Format Result Cite Full Text: arXiv OA License
Palacios, José M.; Pusateri, Fabio Local Energy control in the presence of a zero-energy resonance. arXiv:2401.02623 Preprint, arXiv:2401.02623 [math.AP] (2024). MSC: 35L71 37K40 43A32 × Cite Format Result Cite Full Text: arXiv OA License
Yafaev, Dimitri R. Semiclassical analysis in the limit circle case. (English) Zbl 07936236 Brown, Malcolm (ed.) et al., From complex analysis to operator theory: a panorama. In memory of Sergey Naboko. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 291, 679-698 (2023). MSC: 47A10 47A45 47A48 47A56 47B25 47B28 47B36 30D30 47B50 81Q12 47N50 35J10 47F10 37K10 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cushman, Richard Normalization and reduction of the Stark Hamiltonian. (English) Zbl 07887820 Commun. Anal. Mech. 15, No. 3, 457-469 (2023). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 70H33 70H06 70K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuznetsova, Mariya Nikolaevna On nonlinear hyperbolic systems related by Bäcklund transforms. (Russian. English summary) Zbl 1549.35302 Ufim. Mat. Zh. 15, No. 3, 82-90 (2023); translation in Ufa Math. J. 15, No. 3, 80-87 (2023). MSC: 35L51 35L10 35L70 35A22 37K35 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Nakanishi, Kenji Global dynamics around and away from solitons. (English) Zbl 1535.37094 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). 3822-3840 (2023). MSC: 37K40 37K45 35Q51 35B30 35B40 35L71 × Cite Format Result Cite Review PDF Full Text: DOI
Mattioni, Andrea; Wu, Yongxin; Le Gorrec, Yann A Lyapunov approach for the exponential stability of a damped Timoshenko beam. (English) Zbl 1546.93618 IEEE Trans. Autom. Control 68, No. 12, 8287-8292 (2023). MSC: 93D23 35B35 35L51 74K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Grytchuk, M. V.; Klevchuk, I. I. Bifurcation of tori for parabolic systems of differential equations with weak diffusion. (Ukrainian. English summary) Zbl 1549.35041 Bukovyn. Mat. Zh. 11, No. 2, 100-103 (2023). MSC: 35B32 35B15 35B25 35C07 35K51 35K58 37K55 × Cite Format Result Cite Review PDF Full Text: DOI
Jendrej, Jacek; Lawrie, Andrew Soliton resolution for the energy-critical nonlinear wave equation in the radial case. (English) Zbl 1529.35304 Ann. PDE 9, No. 2, Paper No. 18, 117 p. (2023). MSC: 35L71 35B40 35C08 35L15 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jendrej, Jacek; Lawrie, Andrew Bubble decomposition for the harmonic map heat flow in the equivariant case. (English) Zbl 1527.35070 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 264, 36 p. (2023). MSC: 35B40 35B44 35K15 35K58 37K40 53C43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Jian Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory. (English) Zbl 1527.65122 Appl. Numer. Math. 192, 356-372 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N25 65N30 65N35 65N50 65N15 35P15 37K15 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Kress, Jonathan; Schöbel, Konrad; Vollmer, Andreas An algebraic geometric foundation for a classification of second-order superintegrable systems in arbitrary dimension. (English) Zbl 1523.14064 J. Geom. Anal. 33, No. 11, Paper No. 360, 49 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 70H06 70H33 35N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Chungen; Wang, Qi The existence of periodic solutions for second-order delay differential systems. (English) Zbl 1531.34060 J. Dyn. Differ. Equations 35, No. 3, 1993-2011 (2023). Reviewer: Anatoli F. Ivanov (Lehman) MSC: 34K13 34K17 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Franzoi, Luca Reducibility for a linear wave equation with Sobolev smooth fast-driven potential. (English) Zbl 1539.35142 Discrete Contin. Dyn. Syst. 43, No. 9, 3251-3285 (2023). MSC: 35L20 35B15 37K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ye, Tiefeng; Liu, Wenbin; Shen, Tengfei Existence of nontrivial rotating periodic solutions for second-order Hamiltonian systems. (English) Zbl 1530.37086 Appl. Math. Lett. 142, Article ID 108630, 8 p. (2023). Reviewer: Abderrazek Benhassine (Monastir) MSC: 37J46 37J51 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmedou, Mohameden; Bartsch, Thomas; Fiernkranz, Tim Equilibria of vortex type Hamiltonians on closed surfaces. (English) Zbl 1521.37080 Topol. Methods Nonlinear Anal. 61, No. 1, 239-256 (2023). Reviewer: Igor Leite Freire (São Carlos) MSC: 37K25 37K45 37J39 35J15 35J60 35B44 35R01 76B47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oliker, Vladimir Lightcurve inversion problem for objects with negative Gaussian curvature. (English) Zbl 1520.35152 Adv. Appl. Math. 148, Article ID 102516, 11 p. (2023). MSC: 35Q85 35R30 85A25 35L70 53C42 37K15 × Cite Format Result Cite Review PDF Full Text: DOI
Hoitmetov, Umid Azadovich Integration of the sine-Gordon equation with time-dependent coefficients and an additional term. (English) Zbl 1538.35203 Uzb. Math. J. 67, No. 1, 31-41 (2023). MSC: 35L15 35P25 47A40 37K15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Min; Wang, Yi; Rui, Jie Quasi-periodic solutions for one dimensional Schrödinger equation with quasi-periodic forcing and Dirichlet boundary condition. (English) Zbl 1511.37088 J. Math. Phys. 64, No. 1, Article ID 011509, 24 p. (2023). MSC: 37K55 35B15 35Q55 35L70 35B10 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Zhihua; Jiang, Qin; Ma, Sheng; Paşca, Daniel Multiple periodic solutions of nonautonomous second-order differential systems with \((q,p)\)-Laplacian and partially periodic potentials. (English) Zbl 1505.34062 Math. Slovaca 73, No. 1, 89-102 (2023). MSC: 34C25 58E30 × Cite Format Result Cite Review PDF
Kurlberg, Pär; Ueberschär, Henrik Non-Gaussian waves in Šeba’s billiard. (English) Zbl 1514.37044 Int. Math. Res. Not. 2023, No. 2, 932-955 (2023). Reviewer: Daniel Jaud (München) MSC: 37C83 37A25 37A50 37J40 58J51 70K55 35P20 35J25 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Tingjian; Zheng, Shijun; Zhu, Shihui The existence and stability of normalized solutions for a bi-harmonic nonlinear Schrödinger equation with mixed dispersion. (English) Zbl 1524.35200 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 539-563 (2023). MSC: 35J20 35J35 35J60 37K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fogato, Matteo The role of boundary conditions in the torsional instability of suspension bridges. (English) Zbl 1501.35046 J. Math. Anal. Appl. 518, No. 2, Article ID 126729, 55 p. (2023). MSC: 35B35 35L71 35R09 37K55 × Cite Format Result Cite Review PDF Full Text: DOI
Cuccagna, Scipio; Maeda, Masaya Asymptotic stability of kink with internal modes under odd perturbation. (English) Zbl 1500.35038 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 1, 47 p. (2023). MSC: 35B40 35L71 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sahoo, Alok K.; Manna, Bhakti B. Existence of sign-changing solutions to a Hamiltonian elliptic system in \(\mathbb{R}^N\). (English) Zbl 1498.35230 J. Math. Anal. Appl. 517, No. 2, Article ID 126655, 20 p. (2023). MSC: 35J47 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Jeong, Uihyeon Quantized slow blow-up dynamics for the energy-critical corotational wave maps problem. arXiv:2312.16452 Preprint, arXiv:2312.16452 [math.AP] (2023). MSC: 35B44 35L71 37K40 58E20 × Cite Format Result Cite Full Text: arXiv OA License
Li, Ruiyang; Cao, Liqun WITHDRAWN: Efficient algorithm and analysis for the Yang-Mills equations with temporal gauge. arXiv:2302.13575 Preprint, arXiv:2302.13575 [math.NA] (2023); retraction notice ibid. MSC: 65M60 65P10 35L70 × Cite Format Result Cite Full Text: arXiv
Léger, Tristan; Pusateri, Fabio Internal mode-induced growth in \(3d\) nonlinear Klein-Gordon equations. (English) Zbl 1511.35243 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 695-727 (2022). MSC: 35L71 35L15 35P25 35Q40 37K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lv, Haiyan; Chen, Guanwei Homoclinic orbits for periodic second order Hamiltonian systems with superlinear terms. (English) Zbl 1524.37056 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 61, 9 p. (2022). MSC: 37J46 70K44 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Vachaspati, Tanmay Kinks and domain walls. An introduction to classical and quantum solitons. Reprint of the 2006 edition. (English) Zbl 1506.35001 Cambridge: Cambridge University Press (ISBN 978-1-00-929041-8/hbk; 978-1-00-929042-5/pbk; 978-1-00-929045-6/ebook). xiii, 176 p., open access (2022). MSC: 35-01 35Q51 35Q53 37K40 81T10 35L70 37K45 37K60 × Cite Format Result Cite Review PDF Full Text: DOI
Bibikov, Yu. N. On the stability of the zero solution of a periodic reversible second-order differential equation. (English. Russian original) Zbl 1527.34095 Vestn. St. Petersbg. Univ., Math. 55, No. 3, 297-300 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 3, 476-481 (2022). Reviewer: Cristian Vladimirescu (Craiova) MSC: 34D20 37J40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jendrej, Jacek; Kowalczyk, Michał; Lawrie, Andrew Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. (English) Zbl 1504.35068 Duke Math. J. 171, No. 18, 3643-3705 (2022). MSC: 35B40 35C08 35L71 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maia, B. B. V.; Miyagaki, O. H. Existence and nonexistence results for a class of Hamiltonian Choquard-type elliptic systems with lower critical growth on \(\mathbb{R}^2\). (English) Zbl 1505.35147 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 6, 1383-1410 (2022). MSC: 35J47 35J61 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Cuccagna, Scipio; Maeda, Masaya On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential. (English) Zbl 1503.35208 Commun. Math. Phys. 396, No. 3, 1135-1186 (2022). MSC: 35Q55 35C08 35L71 35B40 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Friederich, Xavier On existence and uniqueness of asymptotic \(N\)-soliton-like solutions of the nonlinear Klein-Gordon equation. (English) Zbl 1502.35140 Math. Z. 302, No. 4, 2131-2191 (2022). MSC: 35Q51 35Q53 35L71 35B40 35C08 37K40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Mahmudov, Elimhan N. Optimal control of hyperbolic type discrete and differential inclusions described by the Laplace operator. (English) Zbl 1501.49004 ESAIM, Control Optim. Calc. Var. 28, No. 65, 21 p. (2022). MSC: 49J21 90C25 49M25 49K20 35L52 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Yiwei; Liu, Shan Notes on multiple periodic solutions for second order Hamiltonian systems. (English) Zbl 1506.37082 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 141, 18 p. (2022). MSC: 37J46 37J51 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Ke, Xiao-Feng; Liao, Jia-Feng On the existence of periodic solutions to second order Hamiltonian systems. (English) Zbl 1524.37053 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 36, 12 p. (2022). MSC: 37J46 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Hang; Xia, Yonghui; Pinto, Manuel Chaotic motion and control of the driven-damped double sine-Gordon equation. (English) Zbl 1505.34065 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7151-7167 (2022). MSC: 34C28 34C37 34H10 65P20 35L10 35C07 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Deng-Shan; Wen, Xiao-Yong The Riemann-Hilbert approach to the generalized second-order flow of three-wave hierarchy. (English) Zbl 1497.35415 Appl. Anal. 101, No. 16, 5743-5759 (2022). MSC: 35Q51 35Q15 35C08 35P10 37K40 37K35 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yan; Guo, Fei Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions. (English) Zbl 1505.37069 Commun. Pure Appl. Anal. 21, No. 10, 3247-3261 (2022). MSC: 37J40 37J46 70H09 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Palacios, José Manuel Orbital stability and instability of periodic wave solutions for the \(\phi^4\)-model. (English) Zbl 1498.35050 SN Partial Differ. Equ. Appl. 3, No. 4, Paper No. 56, 31 p. (2022). MSC: 35B35 35B10 35C07 35C08 35L71 37K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhi, Yanyan; Liu, Xiaochun Nontrivial solutions for an elliptic system of Hamiltonian type. (English) Zbl 1498.35237 Appl. Anal. 101, No. 14, 5017-5041 (2022). MSC: 35J47 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Gerdjikov, Vladimir S. Nonlinear evolution equations related to Kac-Moody algebras \(A_r^{(1)}\): spectral aspects. (English) Zbl 1500.35258 Turk. J. Math. 46, No. 5, SI-2, 1828-1844 (2022). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35Q15 35Q53 35B40 37K35 35K15 17B67 17B81 81R10 × Cite Format Result Cite Review PDF Full Text: DOI
de Laire, André; López-Martínez, Salvador Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation. (English) Zbl 1497.35429 Commun. Partial Differ. Equations 47, No. 9, 1732-1794 (2022). MSC: 35Q55 35J20 35C07 37K06 35C08 35A01 37K40 35B45 35R09 82D05 81V73 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Zhang, Shuai; Zhao, Song-Lin; Shi, Ying Discrete second-order Ablowitz-Kaup-Newell-Segur equation and its modified form. (English. Russian original) Zbl 1515.37083 Theor. Math. Phys. 210, No. 3, 304-326 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 350-374 (2022). MSC: 37K60 37K10 39A36 39A14 × Cite Format Result Cite Review PDF Full Text: DOI
Comech, Andrew On solutions with compact spectrum to nonlinear Klein-Gordon and Schrödinger equations. (English) Zbl 1486.35017 SIAM J. Math. Anal. 54, No. 2, 2128-2141 (2022). MSC: 35B10 35C08 35B40 35B41 35L71 35Q41 35Q55 37K40 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes. (English) Zbl 1486.35122 J. Eur. Math. Soc. (JEMS) 24, No. 6, 2133-2167 (2022). MSC: 35C08 35B40 35L71 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novruzov, Emil; Bayrak, Vural Blow-up criteria for a two-component nonlinear dispersive wave system. (English) Zbl 1486.35079 J. Funct. Anal. 282, No. 12, Article ID 109454, 19 p. (2022). MSC: 35B44 35L71 35L90 37K10 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Kosovalić, Nemanja; Pigott, Brian Symmetric vibrations of higher dimensional nonlinear wave equations. (English) Zbl 1486.35299 Sel. Math., New Ser. 28, No. 3, Paper No. 48, 38 p. (2022). MSC: 35L71 35B10 35L20 37K50 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Komech, Alexander I. On quantum jumps and attractors of the Maxwell-Schrödinger equations. (English. French summary) Zbl 1498.35456 Ann. Math. Qué. 46, No. 1, 139-159 (2022). MSC: 35Q40 35Q55 35Q41 35Q60 35L70 35P30 35B20 35B41 35C08 78A45 47J10 47J35 37K06 35R03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aryan, Shrey Existence of two-solitary waves with logarithmic distance for the nonlinear Klein-Gordon equation. (English) Zbl 1485.35046 Commun. Contemp. Math. 24, No. 1, Article ID 2050091, 25 p. (2022). MSC: 35B40 35C08 35L15 35L71 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Yuhao Rank 2 Bäcklund transformations of hyperbolic Monge-Ampère systems. (English) Zbl 1497.37089 J. Geom. Phys. 172, Article ID 104419, 28 p. (2022). Reviewer: Igor G. Nikolaev (Urbana) MSC: 37K35 35L10 35A30 35J96 32W20 58A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Côte, Raphaël; Yuan, Xu Asymptotics of solutions with a compactness property for the nonlinear damped Klein-Gordon equation. (English) Zbl 1484.35052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112768, 34 p. (2022). MSC: 35B40 35L15 35L71 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Peng; Tang, Xianhua; Zhang, Limin Non-Nehari manifold method for Hamiltonian elliptic system with Hardy potential: existence and asymptotic properties of ground state solution. (English) Zbl 1484.35185 J. Geom. Anal. 32, No. 2, Paper No. 46, 39 p. (2022). MSC: 35J47 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Kuang, Juhong; Chen, Weiyi; Guo, Zhiming Periodic solutions with prescribed minimal period for second order even Hamiltonian systems. (English) Zbl 1489.37077 Commun. Pure Appl. Anal. 21, No. 1, 47-59 (2022). MSC: 37J46 37J51 × Cite Format Result Cite Review PDF Full Text: DOI
Baldi, Pietro; Haus, Emanuele Longer lifespan for many solutions of the Kirchhoff equation. (English) Zbl 1521.35121 SIAM J. Math. Anal. 54, No. 1, 306-342 (2022). MSC: 35L72 35L20 35R09 35Q74 37K45 70K45 70K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Qin, Dongdong; Tang, Xianhua; Zhang, Jian Ground states for planar Hamiltonian elliptic systems with critical exponential growth. (English) Zbl 1478.35196 J. Differ. Equations 308, 130-159 (2022). MSC: 35Q55 35J50 35J60 35J47 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
do Ó, João Marcos; Macedo, Abiel; Ribeiro, Bruno Hamiltonian elliptic systems with critical polynomial-exponential growth. (English) Zbl 1479.35361 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112579, 12 p. (2022). MSC: 35J57 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Fangfang; Zhang, Wen New asymptotically quadratic conditions for Hamiltonian elliptic systems. (English) Zbl 1473.35134 Adv. Nonlinear Anal. 11, 469-481 (2022). MSC: 35J10 35J47 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Ismailov, Mansur I.; Sabaz, Cihan Inverse scattering method via Gel’fand–Levitan–Marchenko equation for some negative order nonlinear wave equations. arXiv:2212.02092 Preprint, arXiv:2212.02092 [nlin.SI] (2022). MSC: 37K15 35C08 35L70 × Cite Format Result Cite Full Text: arXiv OA License
Yuan, Cui-Lian; Wen, Xiao-Yong Integrability, discrete kink multi-soliton solutions on an inclined plane background and dynamics in the modified exponential Toda lattice equation. (English) Zbl 1537.37096 Nonlinear Dyn. 105, No. 1, 643-669 (2021). MSC: 37K60 37K10 35K40 × Cite Format Result Cite Review PDF Full Text: DOI
An, Xiaoming; Wang, Chunhua Nonstandard solutions for a perturbed nonlinear Schrödinger system with small coupling coefficients. (English) Zbl 1544.35088 Math. Nachr. 294, No. 6, 1052-1084 (2021). Reviewer: Shuangjie Peng (Wuhan) MSC: 35J15 35B25 35B40 35Q55 37J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Mingwei; Guo, Fei Multiplicity of periodic solutions for second order Hamiltonian systems with mixed nonlinearities. (English) Zbl 1513.70062 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 2, 371-380 (2021). MSC: 70H05 34C25 74G35 58E30 49J35 70H12 × Cite Format Result Cite Review PDF Full Text: DOI