Hou, Shuting; Zhang, Ruigang; Zhang, Zhihui; Yang, Liangui On the quartic Korteweg-de Vries hierarchy of nonlinear Rossby waves and its dynamics. (English) Zbl 07825043 Wave Motion 124, Article ID 103249, 13 p. (2024). MSC: 86-XX 35-XX PDFBibTeX XMLCite \textit{S. Hou} et al., Wave Motion 124, Article ID 103249, 13 p. (2024; Zbl 07825043) Full Text: DOI
Zhang, Xiaoli; Tang, Jiangang; Lai, Shaoyong The dynamical property of a nonlinear shallow water wave equation with inhomogeneous boundary conditions. (English) Zbl 07820988 Results Appl. Math. 21, Article ID 100427, 9 p. (2024). MSC: 35Q35 76B15 76B25 35C08 35B40 35A01 PDFBibTeX XMLCite \textit{X. Zhang} et al., Results Appl. Math. 21, Article ID 100427, 9 p. (2024; Zbl 07820988) Full Text: DOI
Poochinapan, Kanyuta; Wongsaijai, Ben Dynamic analysis of wave scenarios based on enhanced numerical models for the good Boussinesq equation. (English) Zbl 07820977 Results Appl. Math. 21, Article ID 100416, 26 p. (2024). MSC: 65M06 65N06 65M12 35B44 76B15 76B25 76M20 35Q35 PDFBibTeX XMLCite \textit{K. Poochinapan} and \textit{B. Wongsaijai}, Results Appl. Math. 21, Article ID 100416, 26 p. (2024; Zbl 07820977) Full Text: DOI
Chen, Jianqing; Gao, Yuetian; Han, Fangyu Stability of constrained solitary waves for the Ostrovsky-Vakhnenko model in the coastal zone. (English) Zbl 07814538 Physica D 459, Article ID 134028, 21 p. (2024). MSC: 35Q35 76B25 35B35 58E30 37K45 35P05 PDFBibTeX XMLCite \textit{J. Chen} et al., Physica D 459, Article ID 134028, 21 p. (2024; Zbl 07814538) Full Text: DOI
Sun, Junchao; Tang, Xiaoyan; Chen, Yong Exploring two-dimensional internal waves: a new three-coupled Davey-Stewartson system and physics-informed neural networks with weight assignment methods. (English) Zbl 07814532 Physica D 459, Article ID 134021, 26 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B55 76B25 76B15 68T07 PDFBibTeX XMLCite \textit{J. Sun} et al., Physica D 459, Article ID 134021, 26 p. (2024; Zbl 07814532) 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
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
Klein, Christian; Oruc, Goksu Numerical study of fractional Camassa-Holm equations. (English) Zbl 07808033 Physica D 457, Article ID 133979, 10 p. (2024). MSC: 35Q35 76B25 35C08 35C07 35B44 26A33 35R11 PDFBibTeX XMLCite \textit{C. Klein} and \textit{G. Oruc}, Physica D 457, Article ID 133979, 10 p. (2024; Zbl 07808033) Full Text: DOI arXiv
Khorbatly, Bashar The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of \(sech^2\) solutions. (English) Zbl 07807404 Monatsh. Math. 203, No. 3, 635-651 (2024). MSC: 35Q35 35Q53 76B15 76B25 35C08 35B40 35G25 35A01 35A02 PDFBibTeX XMLCite \textit{B. Khorbatly}, Monatsh. Math. 203, No. 3, 635--651 (2024; Zbl 07807404) Full Text: DOI OA License
Rialland, Guillaume Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes. (English) Zbl 07804828 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113474, 30 p. (2024). MSC: 35Q55 35C08 35B40 35B20 35B35 PDFBibTeX XMLCite \textit{G. Rialland}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113474, 30 p. (2024; Zbl 07804828) Full Text: DOI arXiv
Zhang, Shengning; Zhou, Yuqian; Liu, Qian; Li, Kebing Data-driven wave solutions of (2+1)-dimensional nonlinear dispersive long wave equation by deep learning. (English) Zbl 07801773 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107688, 23 p. (2024). MSC: 68T07 35B32 35C07 35C08 35L05 65M70 76B15 PDFBibTeX XMLCite \textit{S. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107688, 23 p. (2024; Zbl 07801773) Full Text: DOI
Jadaun, Vishakha; Srivastav, Abhinava A special phenomenon of wave interactions: an application of nonlinear evolution equation in (3+1)-dimension. (English) Zbl 07793547 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107733, 19 p. (2024). MSC: 35B06 35C05 35C08 76B15 76B25 PDFBibTeX XMLCite \textit{V. Jadaun} and \textit{A. Srivastav}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107733, 19 p. (2024; Zbl 07793547) Full Text: DOI
Ramadan, Abba; Stefanov, Atanas G. On the stability of solitary waves in the NLS system of the third-harmonic generation. (English) Zbl 1528.35179 Anal. Math. Phys. 14, No. 1, Paper No. 4, 25 p. (2024). MSC: 35Q60 35Q41 35Q51 35C07 PDFBibTeX XMLCite \textit{A. Ramadan} and \textit{A. G. Stefanov}, Anal. Math. Phys. 14, No. 1, Paper No. 4, 25 p. (2024; Zbl 1528.35179) Full Text: DOI arXiv
Mizumachi, Tetsu Linear stability of elastic \(2\)-line solitons for the KP-II equation. (English) Zbl 07776366 Q. Appl. Math. 82, No. 1, 115-226 (2024). MSC: 35B35 35C08 35Q35 35Q51 37K40 PDFBibTeX XMLCite \textit{T. Mizumachi}, Q. Appl. Math. 82, No. 1, 115--226 (2024; Zbl 07776366) Full Text: DOI arXiv
Durán, A.; Muslu, G. M. Notes on solitary-wave solutions of Rosenau-type equations. arXiv:2403.06958 Preprint, arXiv:2403.06958 [math.AP] (2024). MSC: 35C07 76B25 BibTeX Cite \textit{A. Durán} and \textit{G. M. Muslu}, ``Notes on solitary-wave solutions of Rosenau-type equations'', Preprint, arXiv:2403.06958 [math.AP] (2024) Full Text: arXiv OA License
Durán, A.; Reguera, N. Solitary-wave solutions of the fractional nonlinear Schrödinger equation. I. Existence and numerical generation. arXiv:2401.10884 Preprint, arXiv:2401.10884 [math.AP] (2024). MSC: 76B25 35C07 65H10 BibTeX Cite \textit{A. Durán} and \textit{N. Reguera}, ``Solitary-wave solutions of the fractional nonlinear Schr\"{o}dinger equation. I. Existence and numerical generation'', Preprint, arXiv:2401.10884 [math.AP] (2024) Full Text: arXiv OA License
Berger, Marsha J.; Leveque, Randall J. Towards adaptive simulations of dispersive Tsunami propagation from an asteroid impact. (English) Zbl 07822584 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5056-5071 (2023). MSC: 65M06 65L06 65M50 65N50 76B15 76B25 86A05 76-04 86-04 PDFBibTeX XMLCite \textit{M. J. Berger} and \textit{R. J. Leveque}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5056--5071 (2023; Zbl 07822584) Full Text: DOI arXiv OA License
Gusev, O. I.; Skiba, V. S.; Khakimzyanov, G. S.; Chubarov, L. B. Numerical analysis of interaction between a solitary wave and a rectangular fixed semi-submerged structure. (English. Russian original) Zbl 07817119 J. Appl. Mech. Tech. Phys. 64, No. 6, 1046-1057 (2023); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 6, 119-132 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B25 76B15 76M20 86A05 PDFBibTeX XMLCite \textit{O. I. Gusev} et al., J. Appl. Mech. Tech. Phys. 64, No. 6, 1046--1057 (2023; Zbl 07817119); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 6, 119--132 (2023) Full Text: DOI
Flamarion, Marcelo V.; Ribeiro-Jr, Roberto Solitary waves on flows with an exponentially sheared current and stagnation points. (English) Zbl 07804782 Q. J. Mech. Appl. Math. 76, No. 1, 79-91 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B25 76E99 76M45 76M99 PDFBibTeX XMLCite \textit{M. V. Flamarion} and \textit{R. Ribeiro-Jr}, Q. J. Mech. Appl. Math. 76, No. 1, 79--91 (2023; Zbl 07804782) Full Text: DOI arXiv
Wei, Yi The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation. (English) Zbl 07804425 Electron. Res. Arch. 31, No. 11, 6790-6802 (2023). MSC: 35Q35 76B25 35A24 35B10 35C07 35C05 37K35 PDFBibTeX XMLCite \textit{Y. Wei}, Electron. Res. Arch. 31, No. 11, 6790--6802 (2023; Zbl 07804425) Full Text: DOI
Li, Hang; Su, Chunmei Low regularity exponential-type integrators for the “good” Boussinesq equation. (English) Zbl 07800845 IMA J. Numer. Anal. 43, No. 6, 3656-3684 (2023). MSC: 65M70 65N35 65T50 65M12 65M15 35C08 76B15 76B25 35Q35 PDFBibTeX XMLCite \textit{H. Li} and \textit{C. Su}, IMA J. Numer. Anal. 43, No. 6, 3656--3684 (2023; Zbl 07800845) Full Text: DOI
Bakholdin, I. B. Discontinuity structures and solitary waves in electromagnetic hydrodynamics associated with linear and nonlinear Alfvén wave resonances. (English. Russian original) Zbl 07786504 Comput. Math. Math. Phys. 63, No. 11, 2123-2138 (2023); translation from Zh. Vychisl. Mat. Mat. 63, No. 11, 1894-1910 (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{I. B. Bakholdin}, Comput. Math. Math. Phys. 63, No. 11, 2123--2138 (2023; Zbl 07786504); translation from Zh. Vychisl. Mat. Mat. 63, No. 11, 1894--1910 (2023) Full Text: DOI
de Loreno, Guilherme; Natali, Fábio Odd periodic waves for some Klein-Gordon type equations: existence and stability. (English) Zbl 07784856 Math. Methods Appl. Sci. 46, No. 13, 14131-14144 (2023). MSC: 76B25 35Q51 35Q70 35B10 35B35 35Q99 PDFBibTeX XMLCite \textit{G. de Loreno} and \textit{F. Natali}, Math. Methods Appl. Sci. 46, No. 13, 14131--14144 (2023; Zbl 07784856) Full Text: DOI arXiv
Uçar, Yusuf; Yağmurlu, Nuri Murat; Yiğit, Mehmet Kerem Numerical solution of the coupled Burgers equation by trigonometric B-spline collocation method. (English) Zbl 07782150 Math. Methods Appl. Sci. 46, No. 5, 6025-6041 (2023). MSC: 65-XX 35Q51 74J35 33F10 65D07 PDFBibTeX XMLCite \textit{Y. Uçar} et al., Math. Methods Appl. Sci. 46, No. 5, 6025--6041 (2023; Zbl 07782150) Full Text: DOI
Li, Huijun; Wen, Zhenshu Bifurcation analysis and dynamics of abundant traveling waves of the modified Novikov equation. (English) Zbl 07781814 Math. Methods Appl. Sci. 46, No. 4, 4563-4572 (2023). MSC: 34C07 35A24 PDFBibTeX XMLCite \textit{H. Li} and \textit{Z. Wen}, Math. Methods Appl. Sci. 46, No. 4, 4563--4572 (2023; Zbl 07781814) Full Text: DOI
Il’ichev, A. T. Convective modulation instability of the radiation of the periodic component in the case of resonance of long and short waves. (English. Russian original) Zbl 07781667 Proc. Steklov Inst. Math. 322, 118-126 (2023); translation from Tr. Mat. Inst. Steklova 322, 124-132 (2023). MSC: 76B15 76B25 76E15 PDFBibTeX XMLCite \textit{A. T. Il'ichev}, Proc. Steklov Inst. Math. 322, 118--126 (2023; Zbl 07781667); translation from Tr. Mat. Inst. Steklova 322, 124--132 (2023) Full Text: DOI
Bakholdin, I. B. Periodic and solitary waves and nondissipative discontinuity structures in electromagnetic hydrodynamics in the case of wave resonance. (English. Russian original) Zbl 07781660 Proc. Steklov Inst. Math. 322, 18-31 (2023); translation from Tr. Mat. Inst. Steklova 322, 24-37 (2023). MSC: 76W05 78A40 PDFBibTeX XMLCite \textit{I. B. Bakholdin}, Proc. Steklov Inst. Math. 322, 18--31 (2023; Zbl 07781660); translation from Tr. Mat. Inst. Steklova 322, 24--37 (2023) Full Text: DOI
Li, Lingfei; Yan, Yongsheng; Xie, Yingying Rational and semi-rational solutions for a (3 + 1)-dimensional generalized KP-Boussinesq equation in shallow water wave. (English) Zbl 07781154 Math. Methods Appl. Sci. 46, No. 1, 777-797 (2023). MSC: 35Q35 35Q51 76B15 76B25 76X05 76Q05 35C07 35C08 35C15 PDFBibTeX XMLCite \textit{L. Li} et al., Math. Methods Appl. Sci. 46, No. 1, 777--797 (2023; Zbl 07781154) Full Text: DOI
Xie, Zheng; Chen, Jing Multiplicity of solutions for a generalized Kadomtsev-Petviashvili equation with potential in \(\mathbb{R}^2\). (English) Zbl 07781036 Electron. J. Differ. Equ. 2023, Paper No. 48, 17 p. (2023). MSC: 35A15 35A18 35B25 35Q53 58E05 76B25 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{J. Chen}, Electron. J. Differ. Equ. 2023, Paper No. 48, 17 p. (2023; Zbl 07781036) Full Text: Link
Ge, Fu-Fu; Tian, Shou-Fu Bounded traveling wave solutions of a (2+1)-dimensional breaking soliton equation. (English) Zbl 1527.35338 East Asian J. Appl. Math. 13, No. 4, 835-857 (2023). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDFBibTeX XMLCite \textit{F.-F. Ge} and \textit{S.-F. Tian}, East Asian J. Appl. Math. 13, No. 4, 835--857 (2023; Zbl 1527.35338) Full Text: DOI
Guo, Lijuan; Wang, Lihong; Chen, Lei; He, Jingsong Dynamics of the rogue lump in the asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 07778792 Stud. Appl. Math. 151, No. 1, 35-59 (2023). MSC: 35Q35 35Q86 76B25 76Q05 86A05 35C08 37K15 PDFBibTeX XMLCite \textit{L. Guo} et al., Stud. Appl. Math. 151, No. 1, 35--59 (2023; Zbl 07778792) Full Text: DOI
Flamarion, M. V. Stagnation points beneath rotational solitary waves in gravity-capillary flows. (English) Zbl 1525.76020 Trends Comput. Appl. Math. 24, No. 2, 265-274 (2023). MSC: 76B25 PDFBibTeX XMLCite \textit{M. V. Flamarion}, Trends Comput. Appl. Math. 24, No. 2, 265--274 (2023; Zbl 1525.76020) Full Text: DOI
Iqbal, Mujahid; Seadawy, Aly R.; Lu, Dianchen; Zhang, Zhengdi Structure of analytical and symbolic computational approach of multiple solitary wave solutions for nonlinear Zakharov-Kuznetsov modified equal width equation. (English) Zbl 07777386 Numer. Methods Partial Differ. Equations 39, No. 5, 3987-4006 (2023). MSC: 35Q51 35Q53 35C08 35C07 68W30 35A20 PDFBibTeX XMLCite \textit{M. Iqbal} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3987--4006 (2023; Zbl 07777386) Full Text: DOI
Dougalis, Vassilios A.; Duran, Angel; Saridaki, Leetha On the numerical approximation of Boussinesq/Boussinesq systems for internal waves. (English) Zbl 07777374 Numer. Methods Partial Differ. Equations 39, No. 5, 3677-3704 (2023). MSC: 65M60 65M06 65N30 65L06 35C08 35A01 35A02 76B03 35Q31 PDFBibTeX XMLCite \textit{V. A. Dougalis} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3677--3704 (2023; Zbl 07777374) Full Text: DOI
Lawrie, Andrew; Lührmann, Jonas; Oh, Sung-Jin; Shahshahani, Sohrab Local smoothing estimates for Schrödinger equations on hyperbolic space. (English) Zbl 07767959 Memoirs of the American Mathematical Society 1447. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6697-8/pbk; 978-1-4704-7680-9/ebook). v, 165 p. (2023). Reviewer: Hajer Bahouri (Paris) MSC: 35-02 35B65 35Q41 35R01 PDFBibTeX XMLCite \textit{A. Lawrie} et al., Local smoothing estimates for Schrödinger equations on hyperbolic space. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07767959) Full Text: DOI arXiv
Ding, Yanheng; Guo, Qi; Yu, Yuanyang Semiclassical states of a type of Dirac-Klein-Gordon equations with nonlinear interacting terms. (English) Zbl 1527.35010 SN Partial Differ. Equ. Appl. 4, No. 5, Paper No. 42, 26 p. (2023). MSC: 35A15 35C08 35G55 35Q60 PDFBibTeX XMLCite \textit{Y. Ding} et al., SN Partial Differ. Equ. Appl. 4, No. 5, Paper No. 42, 26 p. (2023; Zbl 1527.35010) Full Text: DOI
Boussaïd, Nabile; Cacciapuoti, Claudio; Carlone, Raffaele; Comech, Andrew; Noja, Diego; Posilicano, Andrea Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity. (English) Zbl 1527.35043 Commun. Pure Appl. Anal. 22, No. 10, 3029-3067 (2023). MSC: 35B35 35C08 35P05 35Q41 PDFBibTeX XMLCite \textit{N. Boussaïd} et al., Commun. Pure Appl. Anal. 22, No. 10, 3029--3067 (2023; Zbl 1527.35043) Full Text: DOI arXiv
Boiko, Andrey V.; Demyanko, Kirill V.; Kulik, Victor M. Setting of forced oscillations of viscoelastic coating. (English) Zbl 1522.74015 Contin. Mech. Thermodyn. 35, No. 4, 1343-1352 (2023). MSC: 74D05 35C07 74J35 PDFBibTeX XMLCite \textit{A. V. Boiko} et al., Contin. Mech. Thermodyn. 35, No. 4, 1343--1352 (2023; Zbl 1522.74015) Full Text: DOI
Gagnon, Ludovick Ground state solitary waves local controllability for the nonlinear focusing Schrödinger equation in the mass critical and mass slightly subcritical case. (English) Zbl 1526.93009 J. Differ. Equations 376, 235-282 (2023). MSC: 93B05 93C20 35Q51 35Q55 93C10 PDFBibTeX XMLCite \textit{L. Gagnon}, J. Differ. Equations 376, 235--282 (2023; Zbl 1526.93009) Full Text: DOI
Jordan, P. M. Addendum to: “Poroacoustic solitary waves under the unidirectional Darcy-Jordan model”. (English) Zbl 1524.74298 Wave Motion 119, Article ID 103135, 6 p. (2023). MSC: 74J35 74J40 76Q05 76L05 PDFBibTeX XMLCite \textit{P. M. Jordan}, Wave Motion 119, Article ID 103135, 6 p. (2023; Zbl 1524.74298) Full Text: DOI
Omanda, Hugues M.; Djeumen Tchaho, Clovis T.; Belobo Belobo, Didier Hybrid solitary wave solutions of the Camassa-Holm equation. (English) Zbl 07748397 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1589-1600 (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{H. M. Omanda} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1589--1600 (2023; Zbl 07748397) Full Text: DOI
Ishimura, Misa; Mergui, Sophie; Ruyer-Quil, Christian; Dietze, Georg F. Gas-sheared falling liquid films beyond the absolute instability limit. (English) Zbl 07742524 J. Fluid Mech. 971, Paper No. A37, 54 p. (2023). MSC: 76-XX PDFBibTeX XMLCite \textit{M. Ishimura} et al., J. Fluid Mech. 971, Paper No. A37, 54 p. (2023; Zbl 07742524) Full Text: DOI
Liu, Guowei; Wang, Wei Dispersive estimates and asymptotic behavior for a generalized Boussinesq-type equation. (English) Zbl 1522.35412 Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 174, 24 p. (2023). MSC: 35Q35 76B15 76B03 76B25 47J35 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{G. Liu} and \textit{W. Wang}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 174, 24 p. (2023; Zbl 1522.35412) Full Text: DOI
Carles, Rémi; Sparber, Christof On an intercritical log-modified nonlinear Schrödinger equation in two spatial dimensions. (English) Zbl 1522.35461 Proc. Am. Math. Soc. 151, No. 10, 4173-4189 (2023). MSC: 35Q55 35Q41 35C08 35B35 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{R. Carles} and \textit{C. Sparber}, Proc. Am. Math. Soc. 151, No. 10, 4173--4189 (2023; Zbl 1522.35461) Full Text: DOI arXiv
Flamarion, Marcelo V.; Ribeiro-Jr, Roberto The wave stability of solitary waves over a bump for the full Euler equations. (English) Zbl 07735398 Comput. Appl. Math. 42, No. 6, Paper No. 282, 11 p. (2023). MSC: 76B07 76B25 76B15 PDFBibTeX XMLCite \textit{M. V. Flamarion} and \textit{R. Ribeiro-Jr}, Comput. Appl. Math. 42, No. 6, Paper No. 282, 11 p. (2023; Zbl 07735398) Full Text: DOI arXiv
Tsolias, G. A.; Decker, Robert J.; Demirkaya, A.; Alexander, T. J.; Parker, Ross; Kevrekidis, P. G. Kink-antikink interaction forces and bound states in a nonlinear Schrödinger model with quadratic and quartic dispersion. (English) Zbl 1522.35477 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107362, 20 p. (2023). MSC: 35Q55 35Q41 35C08 35B32 78A60 PDFBibTeX XMLCite \textit{G. A. Tsolias} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107362, 20 p. (2023; Zbl 1522.35477) Full Text: DOI arXiv
Gusev, O. I.; Skiba, V. S.; Khakimzyanov, G. S.; Chubarov, L. B. Influence of bottom irregularity on solitary-wave interaction with a partially immersed rectangular body. (English. Russian original) Zbl 07732476 J. Appl. Mech. Tech. Phys. 64, No. 1, 50-63 (2023); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 1, 60-75 (2023). MSC: 35Q35 35Q86 76B25 74F10 35C08 86A10 PDFBibTeX XMLCite \textit{O. I. Gusev} et al., J. Appl. Mech. Tech. Phys. 64, No. 1, 50--63 (2023; Zbl 07732476); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 1, 60--75 (2023) Full Text: DOI
Labidi, Samira; Rahmeni, Mohamed; Omrani, Khaled Numerical approach of dispersive shallow water waves with Rosenau-KdV-RLW equation in \((2+1)\)-dimensions. (English) Zbl 1517.65072 Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 2157-2176 (2023). MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{S. Labidi} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 2157--2176 (2023; Zbl 1517.65072) Full Text: DOI
Sun, Jianshe Variational principle and solitary wave of the fractal fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave model. (English) Zbl 07726779 Fractals 31, No. 5, Article ID 2350036, 9 p. (2023). MSC: 35Q35 76B15 76B25 35C08 35A15 26A33 35R11 PDFBibTeX XMLCite \textit{J. Sun}, Fractals 31, No. 5, Article ID 2350036, 9 p. (2023; Zbl 07726779) Full Text: DOI
Ge, Jianjiang; Wu, Ranchao Solitary waves of the perturbed KdV equation with nonlocal effects. (English) Zbl 1519.35014 J. Nonlinear Math. Phys. 30, No. 2, 553-577 (2023). MSC: 35B25 35B40 35Q53 37K40 PDFBibTeX XMLCite \textit{J. Ge} and \textit{R. Wu}, J. Nonlinear Math. Phys. 30, No. 2, 553--577 (2023; Zbl 1519.35014) Full Text: DOI
Gassot, Louise Zero-dispersion limit for the Benjamin-Ono equation on the torus with bell shaped initial data. (English) Zbl 07719634 Commun. Math. Phys. 401, No. 3, 2793-2843 (2023). MSC: 35Q35 35Q53 76B25 35C08 37K15 37K35 35P25 PDFBibTeX XMLCite \textit{L. Gassot}, Commun. Math. Phys. 401, No. 3, 2793--2843 (2023; Zbl 07719634) Full Text: DOI arXiv
Omel’yanov, G.; Rodriguez, J. Noyola Solitary wave solutions to a generalization of the mKdV equation. (English) Zbl 07712744 Russ. J. Math. Phys. 30, No. 2, 246-256 (2023). MSC: 35Q35 35Q53 76B15 76B25 35C08 35A09 35A01 35A02 37K15 37K10 PDFBibTeX XMLCite \textit{G. Omel'yanov} and \textit{J. N. Rodriguez}, Russ. J. Math. Phys. 30, No. 2, 246--256 (2023; Zbl 07712744) Full Text: DOI arXiv
Gou, Tianxiang; Hajaiej, Hichem; Stefanov, Atanas G. On the solitary waves for anisotropic nonlinear Schrödinger models on the plane. (English) Zbl 1519.35138 Eur. J. Math. 9, No. 3, Paper No. 55, 34 p. (2023). MSC: 35J61 35R11 35A01 35A02 35A15 PDFBibTeX XMLCite \textit{T. Gou} et al., Eur. J. Math. 9, No. 3, Paper No. 55, 34 p. (2023; Zbl 1519.35138) Full Text: DOI arXiv
Tan, Dalin; Wang, Xu; Duan, Jinlong; Zhou, Jifu Linear analysis of the dynamic response of a riser subject to internal solitary waves. (English) Zbl 1524.74301 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 6, 1023-1034 (2023). MSC: 74J35 74F10 PDFBibTeX XMLCite \textit{D. Tan} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 6, 1023--1034 (2023; Zbl 1524.74301) Full Text: DOI
Shishina, M. I. A nonlinear Schrödinger equation for gravity-capillary waves on deep water with constant vorticity. (English. Russian original) Zbl 07710994 Fluid Dyn. 58, No. 1, 72-83 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2023, No. 1, 20-32 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B15 76B25 76B45 76M45 35Q55 PDFBibTeX XMLCite \textit{M. I. Shishina}, Fluid Dyn. 58, No. 1, 72--83 (2023; Zbl 07710994); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2023, No. 1, 20--32 (2023) Full Text: DOI
Biswas, Anjan; Vega-Guzman, Jose; Bansal, Anupma; Kara, Abdul H.; Aphane, Maggie; Yıldırım, Yakup; Alshehri, Hashim M. Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation. (English) Zbl 1519.76027 Proc. Est. Acad. Sci. 72, No. 1, 17-29 (2023). MSC: 76B25 76L05 76B45 76M60 PDFBibTeX XMLCite \textit{A. Biswas} et al., Proc. Est. Acad. Sci. 72, No. 1, 17--29 (2023; Zbl 1519.76027) Full Text: DOI
Yan, Xinying; Liu, Jinzhou; Yang, Jiajia; Xin, Xiangpeng Retraction note to: “Lie symmetry analysis, optimal system and exact solutions for variable-coefficients (2+1)-dimensional dissipative long-wave system”. (English) Zbl 1515.35224 J. Math. Anal. Appl. 526, No. 2, Article ID 127423, 1 p. (2023). MSC: 35Q35 76B15 76B25 76M60 35C07 35A24 PDFBibTeX XMLCite \textit{X. Yan} et al., J. Math. Anal. Appl. 526, No. 2, Article ID 127423, 1 p. (2023; Zbl 1515.35224) Full Text: DOI
Chen, Wenxia; Tang, Liangping; Tian, Lixin Lump, breather and interaction solutions to the (3+1)-dimensional generalized Camassa-Holm Kadomtsev-Petviashvili equation. (English) Zbl 07707887 J. Math. Anal. Appl. 526, No. 2, Article ID 127275, 11 p. (2023). MSC: 35Q35 35Q53 35Q51 76B25 35C08 68W30 PDFBibTeX XMLCite \textit{W. Chen} et al., J. Math. Anal. Appl. 526, No. 2, Article ID 127275, 11 p. (2023; Zbl 07707887) Full Text: DOI
Stefanov, Atanas G.; Ross, Ryan M.; Kevrekidis, Panayotis G. Ground states in spatially discrete non-linear Schrödinger models. (English) Zbl 1517.35212 Nonlinearity 36, No. 8, 4053-4085 (2023). MSC: 35Q55 35Q41 78A60 35C08 35B35 39A14 PDFBibTeX XMLCite \textit{A. G. Stefanov} et al., Nonlinearity 36, No. 8, 4053--4085 (2023; Zbl 1517.35212) Full Text: DOI arXiv
Hong, Jin; Lai, Shaoyong Wave breaking phenomenon to a nonlinear equation including the Fornberg-Whitham model. (English) Zbl 1517.35177 Results Appl. Math. 18, Article ID 100373, 8 p. (2023). MSC: 35Q35 76B25 35B44 35C08 35R09 PDFBibTeX XMLCite \textit{J. Hong} and \textit{S. Lai}, Results Appl. Math. 18, Article ID 100373, 8 p. (2023; Zbl 1517.35177) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu Inverse scattering method for constructing multisoliton solutions of higher-order nonlinear Schrödinger equations. (English) Zbl 1514.35385 East Asian J. Appl. Math. 13, No. 2, 213-229 (2023). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDFBibTeX XMLCite \textit{X.-B. Wang} and \textit{S.-F. Tian}, East Asian J. Appl. Math. 13, No. 2, 213--229 (2023; Zbl 1514.35385) Full Text: DOI
Çelikkaya, İhsan Travelling peakon and solitary wave solutions of modified Fornberg-Whitham equations with nonhomogeneous boundary conditions. (English) Zbl 07702460 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 661-671 (2023). MSC: 65M70 35G31 65Z05 65D05 65D07 65L20 PDFBibTeX XMLCite \textit{İ. Çelikkaya}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 661--671 (2023; Zbl 07702460) Full Text: DOI
Ersoy Hepson, Ozlem; Dag, Idris; Saka, Bülent; Ay, Buket Solitary waves of the RLW equation via least squares method. (English) Zbl 07702453 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 555-566 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{O. Ersoy Hepson} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 555--566 (2023; Zbl 07702453) Full Text: DOI
Alves, Claudianor O.; Ji, Chao Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^2\). (English) Zbl 1518.35016 J. Differ. Equations 368, 141-172 (2023). MSC: 35A15 35A18 35C08 35G25 76B25 PDFBibTeX XMLCite \textit{C. O. Alves} and \textit{C. Ji}, J. Differ. Equations 368, 141--172 (2023; Zbl 1518.35016) Full Text: DOI arXiv
Zhong, Yansheng; Wu, Riguang The long-time behavior of solitary waves for the weakly damped KdV equation. (English) Zbl 1512.35524 Bound. Value Probl. 2023, Paper No. 5, 26 p. (2023). MSC: 35Q53 35B35 PDFBibTeX XMLCite \textit{Y. Zhong} and \textit{R. Wu}, Bound. Value Probl. 2023, Paper No. 5, 26 p. (2023; Zbl 1512.35524) Full Text: DOI
Cheng, Hong; Wang, Xiaofeng Conservative compact difference scheme for the generalized Korteweg-de Vries equation. (English) Zbl 1524.35520 Int. J. Comput. Math. 100, No. 1, 133-152 (2023). MSC: 35Q53 65M06 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{X. Wang}, Int. J. Comput. Math. 100, No. 1, 133--152 (2023; Zbl 1524.35520) Full Text: DOI
Khorbatly, Bashar Exact traveling wave solutions of a geophysical Boussinesq system. (English) Zbl 1519.35336 Nonlinear Anal., Real World Appl. 71, Article ID 103832, 15 p. (2023). MSC: 35Q86 35Q31 86A05 76B15 76U60 76U65 35C09 35C08 PDFBibTeX XMLCite \textit{B. Khorbatly}, Nonlinear Anal., Real World Appl. 71, Article ID 103832, 15 p. (2023; Zbl 1519.35336) Full Text: DOI
Wen, Zhensu; Chen, Guanrong Solitary waves, periodic peakons and compactons on foliations in a Hertz chain model. (English) Zbl 1512.34086 Discrete Contin. Dyn. Syst., Ser. S 16, No. 3-4, 655-670 (2023). MSC: 34C23 74J35 35Q51 35Q53 58J55 PDFBibTeX XMLCite \textit{Z. Wen} and \textit{G. Chen}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 3--4, 655--670 (2023; Zbl 1512.34086) Full Text: DOI
Choi, Jeongwhan; Sun, Shu-Ming; Whang, Sungim On solitary-wave solutions of fifth-order KdV type of model equations for water waves. (English) Zbl 1524.76066 Discrete Contin. Dyn. Syst., Ser. S 16, No. 3-4, 403-433 (2023). MSC: 76B15 76B25 35Q53 PDFBibTeX XMLCite \textit{J. Choi} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 3--4, 403--433 (2023; Zbl 1524.76066) Full Text: DOI
Xu, Runzhang; Yang, Yanbing Local well-posedness and decay for some generalized shallow water equations. (English) Zbl 1517.35186 J. Differ. Equations 367, 689-728 (2023). MSC: 35Q35 35Q53 76B15 76B25 35B40 35C08 35A01 35A02 PDFBibTeX XMLCite \textit{R. Xu} and \textit{Y. Yang}, J. Differ. Equations 367, 689--728 (2023; Zbl 1517.35186) Full Text: DOI
Vucheva, Veselina; Vassilev, Vassil M.; Kolkovska, Natalia Numerical solutions of the Boussinesq equation with nonlinear restoring force. (English) Zbl 1521.65076 Georgiev, Ivan (ed.) et al., Numerical methods and applications. 10th international conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13858, 327-338 (2023). MSC: 65M06 35C08 35Q35 76B25 PDFBibTeX XMLCite \textit{V. Vucheva} et al., Lect. Notes Comput. Sci. 13858, 327--338 (2023; Zbl 1521.65076) Full Text: DOI
Zhao, Keqin; Wen, Zhenshu Existence of single-peak solitary waves and double-peaks solitary wave of Gardner equation with Kuramoto-Sivashinsky perturbation. (English) Zbl 1519.34042 Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 112, 14 p. (2023). MSC: 34C37 34E15 34C45 35C07 PDFBibTeX XMLCite \textit{K. Zhao} and \textit{Z. Wen}, Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 112, 14 p. (2023; Zbl 1519.34042) Full Text: DOI
Zhao, Binbin; Zhang, Tianyu; Duan, Wenyang; Wang, Zhan; Guo, Xinyu; Hayatdavoodi, Masoud; Ertekin, R. Cengiz Internal solitary waves generated by a moving bottom disturbance. (English) Zbl 1528.76016 J. Fluid Mech. 963, Paper No. A32, 26 p. (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B25 76B55 76B70 86A05 PDFBibTeX XMLCite \textit{B. Zhao} et al., J. Fluid Mech. 963, Paper No. A32, 26 p. (2023; Zbl 1528.76016) Full Text: DOI
Carles, Rémi; Klein, Christian; Sparber, Christof On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations. (English) Zbl 1515.35242 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 423-443 (2023). MSC: 35Q55 35Q41 35C08 35B35 35B10 65M70 49M41 PDFBibTeX XMLCite \textit{R. Carles} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 423--443 (2023; Zbl 1515.35242) Full Text: DOI
Eychenne, Arnaud; Valet, Frédéric Decay of solitary waves of fractional Korteweg-de Vries type equations. (English) Zbl 1514.35101 J. Differ. Equations 363, 243-274 (2023). MSC: 35C20 35B40 35Q35 35Q53 35R11 35S30 76B25 PDFBibTeX XMLCite \textit{A. Eychenne} and \textit{F. Valet}, J. Differ. Equations 363, 243--274 (2023; Zbl 1514.35101) Full Text: DOI arXiv
Ehrnström, Mats; Walsh, Samuel; Zeng, Chongchun Smooth stationary water waves with exponentially localized vorticity. (English) Zbl 1515.35193 J. Eur. Math. Soc. (JEMS) 25, No. 3, 1045-1090 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q31 35Q86 76B15 76B25 76B45 76B47 86A05 35B25 35J61 35R35 PDFBibTeX XMLCite \textit{M. Ehrnström} et al., J. Eur. Math. Soc. (JEMS) 25, No. 3, 1045--1090 (2023; Zbl 1515.35193) Full Text: DOI arXiv
Lamb, Kevin G. Interaction of mode-one internal solitary waves of opposite polarity in double-pycnocline stratifications. (English) Zbl 1514.35356 J. Fluid Mech. 962, Paper No. A17, 21 p. (2023). MSC: 35Q35 35Q86 76B25 76B70 86A05 35C08 PDFBibTeX XMLCite \textit{K. G. Lamb}, J. Fluid Mech. 962, Paper No. A17, 21 p. (2023; Zbl 1514.35356) Full Text: DOI
Quintero, José R.; Arenas-Díaz, Gilberto On the existence of solitary waves for an internal system of the Benjamin-Ono type. (English) Zbl 1524.74300 Differ. Equ. Dyn. Syst. 31, No. 2, 395-425 (2023). MSC: 74J35 35A01 65M70 37C25 35Q51 35Q35 PDFBibTeX XMLCite \textit{J. R. Quintero} and \textit{G. Arenas-Díaz}, Differ. Equ. Dyn. Syst. 31, No. 2, 395--425 (2023; Zbl 1524.74300) Full Text: DOI
Zhao, Keqin; Wen, Zhenshu Effect of the Coriolis force on bounded traveling waves of the rotation-two-component Camassa-Holm system. (English) Zbl 1509.35098 Appl. Anal. 102, No. 3, 865-889 (2023). MSC: 35C07 35B32 76U05 PDFBibTeX XMLCite \textit{K. Zhao} and \textit{Z. Wen}, Appl. Anal. 102, No. 3, 865--889 (2023; Zbl 1509.35098) Full Text: DOI
Yang, Yanjuan Constant vorticity equatorial flows beneath surface solitary waves with centripetal forces. (English) Zbl 1509.35205 Appl. Anal. 102, No. 1, 149-158 (2023). MSC: 35Q31 35J60 76B15 PDFBibTeX XMLCite \textit{Y. Yang}, Appl. Anal. 102, No. 1, 149--158 (2023; Zbl 1509.35205) Full Text: DOI
Başhan, Ali A novel outlook to the mKdv equation using the advantages of a mixed method. (English) Zbl 1509.65021 Appl. Anal. 102, No. 1, 65-87 (2023). MSC: 65D32 74J35 35C08 65D07 65M99 PDFBibTeX XMLCite \textit{A. Başhan}, Appl. Anal. 102, No. 1, 65--87 (2023; Zbl 1509.65021) Full Text: DOI
Wei, Long Notes on wave-breaking phenomena for a Fornberg-Whitham-type equation. (English) Zbl 1514.35367 J. Differ. Equations 362, 250-265 (2023). MSC: 35Q35 35B44 76B25 35D35 PDFBibTeX XMLCite \textit{L. Wei}, J. Differ. Equations 362, 250--265 (2023; Zbl 1514.35367) Full Text: DOI
Miao, Changxing; Tang, Xingdong; Xu, Guixiang Instability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate case. (English) Zbl 1515.35256 J. Differ. Equations 361, 339-375 (2023). Reviewer: Jiqiang Zheng (Beijing) MSC: 35Q55 35Q41 35B35 35B20 35C08 PDFBibTeX XMLCite \textit{C. Miao} et al., J. Differ. Equations 361, 339--375 (2023; Zbl 1515.35256) Full Text: DOI arXiv
Renzi, E.; Michele, S.; Borthwick, A. G. L.; Raby, A. C. Lagrangian modelling of nonlinear viscous waves generated by moving seabed deformation. (English) Zbl 1520.76025 Eur. J. Mech., B, Fluids 99, 23-33 (2023). MSC: 76D33 76M28 86A05 86A15 PDFBibTeX XMLCite \textit{E. Renzi} et al., Eur. J. Mech., B, Fluids 99, 23--33 (2023; Zbl 1520.76025) Full Text: DOI
Li, Junjie; Manafian, Jalil; Hang, Nguyen Thi; Ngoc Huy, Dinh Tran; Davidyants, Alla Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation. (English) Zbl 07677981 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 227-243 (2023). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{J. Li} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 227--243 (2023; Zbl 07677981) Full Text: DOI
Wen, Xian; Yu, Xuhong; Wang, Zhongqing A Legendre dual-Petrov-Galerkin spectral element method for the Kawahara-type equations. (English) Zbl 1511.65111 Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3349-3372 (2023). MSC: 65M70 65M60 65M06 65N35 65N30 76B25 76B15 37K06 35C08 42C10 46E35 35Q35 35Q53 PDFBibTeX XMLCite \textit{X. Wen} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3349--3372 (2023; Zbl 1511.65111) Full Text: DOI
Beyoud, Samira Torrential forced KdV equation: soliton solutions over a hole. (English) Zbl 1520.76014 Anal. Math. Phys. 13, No. 2, Paper No. 36, 15 p. (2023). MSC: 76B25 76M45 76M20 PDFBibTeX XMLCite \textit{S. Beyoud}, Anal. Math. Phys. 13, No. 2, Paper No. 36, 15 p. (2023; Zbl 1520.76014) Full Text: DOI
Haziot, Susanna V.; Wheeler, Miles H. Large-amplitude steady solitary water waves with constant vorticity. (English) Zbl 1528.76014 Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 27, 49 p. (2023). Reviewer: Juan Carlos Mũnoz Grajales (Santiago de Cali) MSC: 76B25 76M40 35Q51 PDFBibTeX XMLCite \textit{S. V. Haziot} and \textit{M. H. Wheeler}, Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 27, 49 p. (2023; Zbl 1528.76014) Full Text: DOI arXiv
Akbulut, Arzu; Islam, Rayhanul; Arafat, Yiasir; Taşcan, Filiz A novel scheme for SMCH equation with two different approaches. (English) Zbl 07665309 Comput. Methods Differ. Equ. 11, No. 2, 263-280 (2023). MSC: 76B25 35C07 PDFBibTeX XMLCite \textit{A. Akbulut} et al., Comput. Methods Differ. Equ. 11, No. 2, 263--280 (2023; Zbl 07665309) Full Text: DOI
Yang, Hui; Guo, Rui A study of periodic solutions and periodic background solutions for the reverse-space-time modified nonlinear Schrödinger equation. (English) Zbl 1524.35611 Wave Motion 117, Article ID 103112, 14 p. (2023). MSC: 35Q55 76B25 35C08 35Q51 PDFBibTeX XMLCite \textit{H. Yang} and \textit{R. Guo}, Wave Motion 117, Article ID 103112, 14 p. (2023; Zbl 1524.35611) Full Text: DOI
Flamarion, Marcelo V. Complex flow structures beneath rotational depression solitary waves in gravity-capillary flows. (English) Zbl 1524.76108 Wave Motion 117, Article ID 103108, 10 p. (2023). MSC: 76B25 35C08 35Q35 PDFBibTeX XMLCite \textit{M. V. Flamarion}, Wave Motion 117, Article ID 103108, 10 p. (2023; Zbl 1524.76108) Full Text: DOI
Li, Bang-Qing; Ma, Yu-Lan Hybrid soliton and breather waves, solution molecules and breather molecules of a \((3+1)\)-dimensional Geng equation in shallow water waves. (English) Zbl 1525.76022 Phys. Lett., A 463, Article ID 128672, 7 p. (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B25 35Q51 PDFBibTeX XMLCite \textit{B.-Q. Li} and \textit{Y.-L. Ma}, Phys. Lett., A 463, Article ID 128672, 7 p. (2023; Zbl 1525.76022) Full Text: DOI
Cai, Niping; Qiao, Zhijun; Zhou, Yuqian Wave solutions to an integrable negative order KdV equation. (English) Zbl 1524.35518 Wave Motion 116, Article ID 103072, 16 p. (2023). MSC: 35Q53 34C23 34C37 58Z05 74J30 PDFBibTeX XMLCite \textit{N. Cai} et al., Wave Motion 116, Article ID 103072, 16 p. (2023; Zbl 1524.35518) Full Text: DOI
Nachbin, André Water wave models using conformal coordinates. (English) Zbl 1507.76028 Physica D 445, Article ID 133646, 8 p. (2023). MSC: 76B15 76B25 76M40 76-02 PDFBibTeX XMLCite \textit{A. Nachbin}, Physica D 445, Article ID 133646, 8 p. (2023; Zbl 1507.76028) Full Text: DOI
Kruglov, Vladimir I.; Triki, Houria Periodic and solitary waves generating in optical fiber amplifiers and fiber lasers with distributed parameters. (English) Zbl 1524.78065 Phys. Lett., A 461, Article ID 128644, 8 p. (2023). MSC: 78A60 78A50 35C08 35Q55 60H50 35R60 35B35 65N35 PDFBibTeX XMLCite \textit{V. I. Kruglov} and \textit{H. Triki}, Phys. Lett., A 461, Article ID 128644, 8 p. (2023; Zbl 1524.78065) Full Text: DOI arXiv
Lv, Na; Li, Jiaheng; Yuan, Xuegang; Wang, Ran Controllable rogue waves in a compressible hyperelastic plate. (English) Zbl 1524.74062 Phys. Lett., A 461, Article ID 128639, 8 p. (2023). MSC: 74B20 74J30 PDFBibTeX XMLCite \textit{N. Lv} et al., Phys. Lett., A 461, Article ID 128639, 8 p. (2023; Zbl 1524.74062) Full Text: DOI
Cheng, Sixue; Liu, Haijiang Weakly nonlinear waves over the bottom disturbed topography: Korteweg-de Vries equation with variable coefficients. (English) Zbl 1507.76023 Eur. J. Mech., B, Fluids 98, 238-246 (2023). MSC: 76B15 76B25 76M45 PDFBibTeX XMLCite \textit{S. Cheng} and \textit{H. Liu}, Eur. J. Mech., B, Fluids 98, 238--246 (2023; Zbl 1507.76023) Full Text: DOI
Charalampidis, Efstathios G.; Parker, Ross; Kevrekidis, Panayotis G.; Lafortune, Stéphane The stability of the \(b\)-family of peakon equations. (English) Zbl 1506.35013 Nonlinearity 36, No. 2, 1192-1217 (2023). MSC: 35B40 35C07 35B35 65N25 76B25 35Q35 PDFBibTeX XMLCite \textit{E. G. Charalampidis} et al., Nonlinearity 36, No. 2, 1192--1217 (2023; Zbl 1506.35013) Full Text: DOI arXiv
Yan, Xinying; Liu, Jinzhou; Xin, Xiangpeng Soliton solutions and lump-type solutions to the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficient. (English) Zbl 07642367 Phys. Lett., A 457, Article ID 128574, 9 p. (2023). MSC: 37K10 76B15 76B25 35C08 PDFBibTeX XMLCite \textit{X. Yan} et al., Phys. Lett., A 457, Article ID 128574, 9 p. (2023; Zbl 07642367) Full Text: DOI
Guo, Yingying The well-posedness, ill-posedness and non-uniform dependence on initial data for the Fornberg-Whitham equation in Besov spaces. (English) Zbl 1511.35278 Nonlinear Anal., Real World Appl. 70, Article ID 103791, 18 p. (2023). Reviewer: Elena Frolova (Sankt-Peterburg) MSC: 35Q35 35Q53 35B30 35G25 35A01 35A02 76B03 76B25 35R25 PDFBibTeX XMLCite \textit{Y. Guo}, Nonlinear Anal., Real World Appl. 70, Article ID 103791, 18 p. (2023; Zbl 1511.35278) Full Text: DOI arXiv