Zhang, Qian; Zhu, Guangming Orbital stability of smooth solitons in \(H^1 \cap W^{1,4}\) for the modified Camassa-Holm equation. (English) Zbl 07971470 J. Differ. Equations 416, Part 2, 1390-1404 (2025). MSC: 35Q35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xiaojie; Cai, Min; Du, Zengji Dynamics of the modified rotation-Camassa-Holm equation with backward diffusion term. (English) Zbl 07959237 Comput. Appl. Math. 44, No. 1, Paper No. 21, 16 p. (2025). MSC: 35Q53 34D15 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Wan, Zhenyu; Wang, Ying; Zhu, Min On the Cauchy problem for a combined mCH-Novikov integrable equation with linear dispersion. (English) Zbl 07957299 J. Differ. Equations 416, Part 1, 727-767 (2025). MSC: 35B44 35G25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
da Silva, Priscila Leal Global analytic solutions and symmetric waves of the 0-equation. (English) Zbl 07980633 Chatzakou, Marianna (ed.) et al., Women in analysis and PDE. Contributions given by female speakers during many scientific events of GAPC since 2019. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 5, 137-143 (2024). MSC: 35A20 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhihong; Tong, Hao; Yang, Shaojie Classification of traveling waves to the generalized Camassa-Holm equation with dual-power nonlinearities. (English) Zbl 07976454 Appl. Anal. 103, No. 15, 2677-2687 (2024). MSC: 35Q35 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Henry, David; Ivanov, Rossen I.; Sakellaris, Zisis N. Higher-order integrable models for oceanic internal wave-current interactions. (English) Zbl 07966132 Stud. Appl. Math. 153, No. 4, Article ID e12778, 29 p. (2024). MSC: 76B55 76B25 35Q35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Xiang-Ke; Chen, Xiao-Min On the peakon dynamical system of the second flow in the Camassa-Holm hierarchy. (English) Zbl 07956607 Adv. Math. 459, Article ID 110000, 51 p. (2024). MSC: 37K10 37J35 35Q51 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Bao-Feng; Hu, Heng-Chun; Sheng, Han-Han; Yin, Wei; Yu, Guo-Fu Integrable semi-discretization for a modified Camassa-Holm equation with cubic nonlinearity. (English) Zbl 07951885 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 91, 14 p. (2024). MSC: 35Q53 37K10 35C08 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grunert, Katrin Uniqueness of dissipative solutions for the Camassa-Holm equation. (English) Zbl 07950701 J. Differ. Equations 412, 474-528 (2024). MSC: 35A02 35L45 35B60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Zhen; Yin, Zhaoyang Ill-posedness for the Cauchy problem of the modified Camassa-Holm equation in \(B_{\infty, 1}^0\). (English) Zbl 07944237 J. Math. Fluid Mech. 26, No. 4, Paper No. 69, 16 p. (2024). MSC: 35Q53 35G25 35L30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ehrman, Brett; Johnson, Mathew A.; Lafortune, Stéphane Orbital stability of smooth solitary waves for the Novikov equation. (English) Zbl 07941642 J. Nonlinear Sci. 34, No. 6, Paper No. 116, 38 p. (2024). MSC: 35C08 35B35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Yufeng; Zhao, Pintao; Ye, Zhijian; Zheng, Zhoushun Conservative second-order finite difference method for Camassa-Holm equation with periodic boundary condition. (English) Zbl 07932649 Int. J. Comput. Math. 101, No. 9-10, 1012-1030 (2024). MSC: 76M20 65M06 65M22 65J15 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xinglong; Zhang, Xin; Du, Lijun Blow-up, global existence and propagation speed for a modified Camassa-Holm equation both dissipation and dispersion in \(H^{s,p}(\mathbb{R})\). (English) Zbl 07925457 Monatsh. Math. 205, No. 2, 371-390 (2024). MSC: 35B44 35G25 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yong; Duan, Jinqiao; Gao, Hongjun Martingale solution of the stochastic Camassa-Holm equation with pure jump noise. (English) Zbl 1548.60081 Stochastic Processes Appl. 176, Article ID 104446, 37 p. (2024). Reviewer: Wenjie Hu (Changsha) MSC: 60H15 60F05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Hongyi; Zhang, Yufeng Inverse scattering transform for integrable nonisospectral hierarchy associate with Camassa-Holm equation. (English) Zbl 07918251 J. Geom. Phys. 204, Article ID 105276, 10 p. (2024). MSC: 37K15 37K10 37K40 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jiajing; Deng, Tongjie; Zhang, Kelei Orbital stability of the sum of \(N\) peakons for the mCH-Novikov equation. (English) Zbl 1548.35105 Appl. Anal. 103, No. 5, 874-897 (2024). MSC: 35C08 35B35 35Q51 37K45 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinlu; Yu, Yanghai; Zhu, Weipeng Non-uniform convergence of solution for the Camassa-Holm equation in the zero-filter limit. (English) Zbl 1546.35156 Monatsh. Math. 205, No. 1, 177-185 (2024). MSC: 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Yuxing; Lu, Jianzhong; Li, Min; Wu, Xing; Li, Jinlu Zero-filter limit issue for the Camassa-Holm equation in Besov spaces. (English) Zbl 1546.35149 Monatsh. Math. 205, No. 1, 119-135 (2024). MSC: 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Wenguang; Lin, Ji Wave-breaking and persistence properties in weighted \(L^p\) spaces for a Camassa-Holm type equation with quadratic and cubic nonlinearities. (English) Zbl 07901697 Monatsh. Math. 205, No. 1, 103-117 (2024). Reviewer: Igor Leite Freire (São Carlos) MSC: 35G25 35B30 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Mingxuan Some properties of solutions to the integrable Camassa-Holm type equation. (English) Zbl 07901129 Appl. Math. Lett. 158, Article ID 109247, 4 p. (2024). MSC: 37K10 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ji; Liu, Yue; Zhu, Guangming Orbital stability of smooth solitons for the modified Camassa-Holm equation. (English) Zbl 1546.35155 Adv. Math. 454, Article ID 109870, 22 p. (2024). MSC: 35Q35 35Q51 35C08 35B35 76B25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Taiyang; Yang, Yiling; Zhang, Lun Transient asymptotics of the modified Camassa-Holm equation. (English) Zbl 1545.35165 J. Lond. Math. Soc., II. Ser. 110, No. 2, Article ID e12967, 67 p. (2024). MSC: 35Q53 35Q15 37K15 34M50 34M55 35C08 35B40 37K40 33E17 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jinlu; Yu, Yanghai; Guo, Yingying; Zhu, Weipeng Ill-posedness for the Camassa-Holm equation in \(B_{p, 1}^1\cap C^{0, 1}\). (English) Zbl 1546.35255 Anal. Math. Phys. 14, No. 4, Paper No. 96, 17 p. (2024). MSC: 35R25 35B35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ren, Panpan; Tang, Hao; Wang, Feng-Yu Distribution-path dependent nonlinear SPDEs with application to stochastic transport type equations. (English) Zbl 1545.60081 Potential Anal. 61, No. 2, 379-407 (2024). MSC: 60H15 35Q35 60H30 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chong, Gezi; Fu, Ying; Wang, Hao Orbital stability of periodic peakons for the higher-order modified Camassa-Holm equation. (English) Zbl 07891496 Monatsh. Math. 204, No. 4, 707-743 (2024). MSC: 35B35 35C08 35G25 37K40 37K45 × Cite Format Result Cite Review PDF Full Text: DOI
Shan, Minjie; Chen, Mingjuan; Lu, Yufeng; Wang, Jing Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation. (English) Zbl 1548.35244 Adv. Nonlinear Anal. 13, Article ID 20240014, 23 p. (2024). MSC: 35Q55 35Q35 35Q53 35B06 35B45 35B65 37K10 37K15 37K35 78A60 76B15 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Geyer, Anna; Liu, Yue; Pelinovsky, Dmitry E. On the transverse stability of smooth solitary waves in a two-dimensional Camassa-Holm equation. (English. French summary) Zbl 1543.35160 J. Math. Pures Appl. (9) 188, 1-25 (2024). MSC: 35Q35 35Q53 35P15 37K45 35C08 35B35 35B20 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Hongyi; Zhang, Yufeng; Feng, Binlu Long-time asymptotics for a complex cubic Camassa-Holm equation. (English) Zbl 1543.35213 Lett. Math. Phys. 114, No. 3, Paper No. 84, 71 p. (2024). MSC: 35Q53 35Q15 35C08 35C20 35B40 37K15 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Chanyuan; Altuijri, Reem; Abdel-Aty, Abdel-Haleem; Sooppy Nisar, Kottakkaran; Khater, Mostafa M. A. Plasma-infused solitary waves: unraveling novel dynamics with the Camassa-Holm equation. (English) Zbl 1542.35346 Int. J. Geom. Methods Mod. Phys. 21, No. 8, Article ID 2450146, 17 p. (2024). MSC: 35Q53 35C08 35B35 76B15 78A60 82D10 × Cite Format Result Cite Review PDF Full Text: DOI
Geyer, Anna; Pelinovsky, Dmitry E. Stability of smooth periodic traveling waves in the Degasperis-Procesi equation. (English) Zbl 1542.35340 J. Differ. Equations 404, 354-390 (2024). MSC: 35Q53 35C07 35C08 35C09 35B35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mi, Yongsheng; Guo, Boling On the Cauchy problem for the new shallow-water models with cubic nonlinearity. (English) Zbl 1541.35436 Front. Math. (Beijing) 19, No. 3, 435-455 (2024). MSC: 35Q53 35A10 35A20 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zaiyun; Liu, Zhenhai; Deng, Youjun Global energy conservation solution for the \(N - a b c\) family of Camassa-Holm type equation. (English) Zbl 1546.35172 Nonlinear Anal., Real World Appl. 78, Article ID 104093, 32 p. (2024). MSC: 35Q35 76B15 35D30 35B65 35A01 35A02 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Ke; Meng, Gang; Zhang, Zhi Rotation number and eigenvalues of two-component modified Camassa-Holm equations. (English) Zbl 07862781 Nonlinear Anal., Real World Appl. 78, Article ID 104091, 10 p. (2024). Reviewer: Smail Djebali (Riyadh) MSC: 34B09 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qingning; Li, Li; Jiang, Zaihong; Lu, Qing Some properties for the fifth-order Camassa-Holm type equation. (English) Zbl 1547.35593 Math. Methods Appl. Sci. 47, No. 6, 5266-5285 (2024). MSC: 35Q51 35B40 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Miao, Yingting; Rohde, Christian; Tang, Hao Well-posedness for a stochastic Camassa-Holm type equation with higher order nonlinearities. (English) Zbl 1540.60146 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 1, 614-674 (2024). MSC: 60H15 35Q51 35A01 35B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qiao, Zhijun; Reyes, Enrique G. Fifth-order equations of Camassa-Holm type and pseudo-peakons. (English) Zbl 1547.35607 Appl. Numer. Math. 199, 165-176 (2024). MSC: 35Q53 35G20 35C08 35D30 37K10 37K25 × Cite Format Result Cite Review PDF Full Text: DOI
Ehrman, Brett; Johnson, Mathew A. Orbital stability of periodic traveling waves in the \(b\)-Camassa-Holm equation. (English) Zbl 07855420 Physica D 461, Article ID 134105, 11 p. (2024). MSC: 35Q35 76B15 76B25 35C07 35C08 35B10 35B65 35B20 35R25 35B35 37K10 37K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, Zhenyu; Wang, Ying; Zhu, Min Wave-breaking phenomena and Gevrey regularity for the weakly dissipative generalized Camassa-Holm equation. (English) Zbl 1541.35100 Monatsh. Math. 204, No. 2, 357-387 (2024). MSC: 35B44 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Chong, Gezi; Fu, Ying; Wang, Hao Instability of \(H^1\)-stable periodic peakons for the higher-order \(\mu\)-Camassa-Holm equation. (English) Zbl 1540.35339 J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127830, 40 p. (2024). MSC: 35Q53 35B44 35C08 35B35 35G25 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yong; Duan, Jinqiao; Gao, Hongjun; Guo, Xingyu Modulation analysis of the stochastic Camassa-Holm equation with pure jump noise. (English) Zbl 1547.60058 J. Nonlinear Sci. 34, No. 3, Paper No. 58, 38 p. (2024). Reviewer: Anhui Gu (Chongqing) MSC: 60H15 60F05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Tao; Lyu, Kang Interior inverse problem for global conservative multipeakon solutions of the Camassa-Holm equation. (English) Zbl 1542.37063 J. Differ. Equations 395, 262-307 (2024). MSC: 37K15 37K40 37K10 35Q51 35Q35 35C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Wei; Li, Min; Wu, Xing; Zhu, Weipeng Ill-posedness for a generalized Camassa-Holm equation with higher-order nonlinearity in the critical Besov space. (English) Zbl 1537.35312 Monatsh. Math. 203, No. 4, 843-857 (2024). MSC: 35Q53 35R25 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Nianhua; Li, Hongmin Integrable generalization of the modified Camassa-Holm equation in \(2 + 1\) dimensions. (English) Zbl 07825037 Wave Motion 124, Article ID 103235, 7 p. (2024). MSC: 35C08 35Q51 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Min; Guo, Lijuan; Wang, Ying Existence and uniqueness of the global conservative weak solutions to the cubic Camassa-Holm-type equation. (English) Zbl 1536.35137 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107903, 17 p. (2024). MSC: 35D30 35B40 35G25 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Moon, Byungsoo Stability of periodic peakons for a nonlinear quartic \(\mu\)-Camassa-Holm equation. (English) Zbl 1540.35052 J. Dyn. Differ. Equations 36, No. 1, 703-725 (2024). MSC: 35B35 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Xijun; Chen, Aiyong Instability of \(H^1\)-stable periodic peakons for the \(\mu\)-Camassa-Holm equation. (English) Zbl 1544.35036 J. Dyn. Differ. Equations 36, No. 1, 515-534 (2024). Reviewer: Igor Leite Freire (São Carlos) MSC: 35B35 35Q51 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Haiyan; Ao, Jijun Minimization of the first positive Neumann-Dirichlet eigenvalue for the Camassa-Holm equation with indefinite potential. (English) Zbl 1539.34093 J. Differ. Equations 390, 525-536 (2024). Reviewer: Andreas Fleige (Dortmund) MSC: 34L15 34B09 34A06 34L20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinlu; Yu, Yanghai; Zhu, Weipeng Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces: revisited. (English) Zbl 1539.35190 J. Differ. Equations 390, 426-450 (2024). Reviewer: Julie L. Levandosky (Framingham) MSC: 35Q35 35B30 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Ting Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation. (English) Zbl 1542.35040 Adv. Nonlinear Anal. 13, Article ID 20230124, 30 p. (2024). Reviewer: Igor Leite Freire (São Carlos) MSC: 35B35 35C08 35G25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Galimberti, L.; Holden, H.; Karlsen, K. H.; Pang, P. H. C. Global existence of dissipative solutions to the Camassa-Holm equation with transport noise. (English) Zbl 1533.35376 J. Differ. Equations 387, 1-103 (2024). MSC: 35R60 35G25 35A01 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Jifeng; Meng, Gang Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations. (English) Zbl 1541.34035 Math. Ann. 388, No. 2, 1205-1224 (2024). Reviewer: Smail Djebali (Riyadh) MSC: 34B09 34L15 34B05 34A05 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Rong; Yang, Zhichun; Zhou, Shouming Existence and uniqueness of the global conservative weak solutions for a cubic Camassa-Holm type equation. (English) Zbl 1532.35116 J. Differ. Equations 386, 480-518 (2024). MSC: 35D30 35A02 35G25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xiaoping; Fu, Ying; Qu, Changzheng Reducibility of the dispersive Camassa-Holm equation with unbounded perturbations. (English) Zbl 1532.35410 J. Funct. Anal. 286, No. 6, Article ID 110321, 54 p. (2024). MSC: 35Q53 35C08 37J39 37J40 35R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Kai; Yang, Yiling; Fan, Engui The Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: long-time and Painlevé asymptotics. (English) Zbl 1538.35244 J. Differ. Equations 380, 24-91 (2024). MSC: 35Q15 35Q51 37K15 35C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaur, Anurag; Kanwar, V.; Ramos, Higinio A coupled scheme based on uniform algebraic trigonometric tension B-Spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations. (English) Zbl 1538.65027 Comput. Appl. Math. 43, No. 1, Paper No. 16, 24 p. (2024). MSC: 65D07 35F50 65L05 65L60 35Q53 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Freire, Igor Leite Breakdown of pseudospherical surfaces determined by the Camassa-Holm equation. (English) Zbl 1533.37145 J. Differ. Equations 378, 339-359 (2024). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K25 35Q51 35Q35 53A07 35A30 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaofang Wave-breaking phenomena for the generalized Camassa-Holm equation with dual-power nonlinearities. (English) Zbl 1528.35116 Nonlinear Anal., Real World Appl. 75, Article ID 103965, 23 p. (2024). MSC: 35Q35 76B15 35B44 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Avan, Jean; Frappat, Luc; Ragoucy, Eric A new integrable structure associated to the Camassa-Holm peakons. (English) Zbl 1547.35534 SciPost Phys. 15, No. 6, Paper No. 228, 14 p. (2023). MSC: 35Q35 76B15 76B25 16T25 17B63 35C08 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Shanshan; Wang, Ying Wave-breaking phenomena and persistence properties for a nonlinear dissipative Camassa-Holm equation. (English) Zbl 1541.35033 Appl. Anal. 102, No. 17, 4805-4827 (2023). MSC: 35B30 35B44 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhigang Stability of periodic peakons for a generalized-\(\mu\) Camassa-Holm equation with quartic nonlinearities. (English) Zbl 1541.35140 Appl. Anal. 102, No. 16, 4638-4651 (2023). MSC: 35G25 35C08 35B30 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Zhiying; Yin, Zhaoyang On the Cauchy problem for a weakly dissipative Camassa-Holm equation in critical Besov spaces. (English) Zbl 1539.35220 Appl. Anal. 102, No. 16, 4432-4449 (2023). MSC: 35Q53 35B10 35B65 35C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Ying; Yang, Yunqing Rogue wave solutions for the \((3 + 1)\)-dimensional generalized Camassa-Holm-Kadomtsev-Petviashvili equation. (English) Zbl 1540.35348 Chin. J. Phys., Taipei 86, 508-514 (2023). MSC: 35Q53 37K10 76B25 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xianbo; Li, Jibin; Chen, Guanrong Bifurcations, exact peakon, periodic peakons and solitary wave solutions of generalized Camassa-Holm-Degasperis-Procosi type equation. (English) Zbl 1541.35394 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 10, Article ID 2350124, 25 p. (2023). MSC: 35Q35 35B32 35C07 35C08 35B10 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Yuqian; Chen, Guanrong; Li, Jibin Bifurcations, exact peakon, periodic peakons and solitary wave solutions of the cubic Camassa-Holm type equation. (English) Zbl 1541.35443 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 1, Article ID 2350014, 15 p. (2023). MSC: 35Q53 35C08 35C05 35B32 35B10 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Jin; Fu, Yayun A high-order linearly implicit energy-preserving partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations. (English) Zbl 1531.65094 Netw. Heterog. Media 18, No. 1, 399-411 (2023). MSC: 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Şenol, Mehmet; Gençyiğit, Mehmet; Sarwar, Shahzad Different solutions to the conformable generalized \((3+1)\)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation arising in shallow-water waves. (English) Zbl 1532.35494 Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350154, 22 p. (2023). MSC: 35R11 35C05 35C07 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Himonas, A. Alexandrou; Yan, Fangchi On well-posedness of nonlocal evolution equations. (English) Zbl 1530.35280 Vietnam J. Math. 51, No. 4, 811-844 (2023). MSC: 35Q55 35G31 35G16 37K10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Yamane, Hideshi Local and global analyticity for a generalized Camassa-Holm system. (English) Zbl 1530.35009 Funkc. Ekvacioj, Ser. Int. 66, No. 3, 159-193 (2023). MSC: 35A10 35G55 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cotter, Colin J.; Holm, Darryl D.; Pryer, Tristan Singular solutions of the r-Camassa-Holm equation. (English) Zbl 1533.37151 Nonlinearity 36, No. 11, 6199-6223 (2023). MSC: 37K58 37K65 37K06 35Q51 37K40 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Kexin; Wang, Hao; Fu, Ying Ill-posedness of the Cauchy problem for the \(\mu\)-Camassa-Holm-type equations. (English) Zbl 1526.35305 J. Evol. Equ. 23, No. 4, Paper No. 64, 20 p. (2023). MSC: 35R25 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Xiaolin; Zhou, Shouming; Qiao, Zhijun A generalized two-component Camassa-Holm system with complex nonlinear terms and Waltzing peakons. (English) Zbl 1523.35256 J. Nonlinear Math. Phys. 30, No. 3, 1153-1189 (2023). MSC: 35Q51 37K10 35Q35 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Danping; Li, Yun Stability of traveling wave solutions for the second-order Camassa-Holm equation. (English) Zbl 1529.35120 Monatsh. Math. 202, No. 4, 713-740 (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35C07 35B30 35B35 35G20 × Cite Format Result Cite Review PDF 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: 76B15 35C08 76M10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Hui; Qian, Yu; Miao, Yuanyuan Solving the modified Camassa-Holm equation via the inverse scattering transform. (English. Russian original) Zbl 1521.37079 Theor. Math. Phys. 216, No. 2, 1189-1208 (2023); translation from Teor. Mat. Fiz. 216, No. 2, 326-349 (2023). MSC: 37K15 35Q15 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yingying; Ye, Weikui Energy conservation and well-posedness of the Camassa-Holm equation in Sobolev spaces. (English) Zbl 1522.35439 Z. Angew. Math. Phys. 74, No. 5, Paper No. 184, 12 p. (2023). MSC: 35Q53 35G25 35D30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Coclite, Giuseppe Maria; di Ruvo, Lorenzo On \(H^2\)-solutions for a Camassa-Holm type equation. (English) Zbl 1522.35156 Open Math. 21, Article ID 20220577, 21 p. (2023). MSC: 35G25 35K55 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Tongjie; Chen, Aiyong Orbital stability of the sum of \(N\) peakons for the generalized modified Camassa-Holm equation. (English) Zbl 1529.35039 Monatsh. Math. 202, No. 2, 229-262 (2023). Reviewer: Nilay Duruk Mutlubaş (İstanbul) MSC: 35B35 35C08 37K45 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinlu; Yu, Yanghai; Zhu, Weipeng Zero-filter limit for the Camassa-Holm equation in Sobolev spaces. (English) Zbl 1531.35239 Appl. Math. Lett. 145, Article ID 108727, 8 p. (2023). MSC: 35Q31 76B15 35R35 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Ke; Cao, Feng Lyapunov-type stability criterion for periodic generalized Camassa-Holm equations. (English) Zbl 1529.35439 Nonlinear Anal., Real World Appl. 74, Article ID 103940, 14 p. (2023). MSC: 35Q53 35C08 37K35 34L05 35B10 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Wenjie; Yin, Zhaoyang Global conservative solution for a dissipative Camassa-Holm type equation with cubic and quartic nonlinearities. (English) Zbl 1517.35194 Appl. Anal. 102, No. 8, 2365-2379 (2023). MSC: 35Q53 35B10 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Tongjie; Chen, Aiyong Orbital stability of peakons and multi-peakons for a generalized cubic-quintic Camassa-Holm type equation. (English) Zbl 1519.35023 J. Nonlinear Math. Phys. 30, No. 2, 493-530 (2023). MSC: 35B35 35Q51 37K45 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Xiang-Ke; Hu, Xing-Biao; Szmigielski, Jacek Preface to the special issue: orthogonal polynomials and integrable systems, peakons, Toda lattices and Painlevé transcendents. (English) Zbl 1525.37059 Physica D 453, Article ID 133830, 4 p. (2023). MSC: 37J35 37K10 37J38 37J65 37K20 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Ying; Guo, Yunxi Persistence properties and blow-up phenomena for a generalized Camassa-Holm equation. (English) Zbl 1518.35218 Bound. Value Probl. 2023, Paper No. 51, 17 p. (2023). MSC: 35D30 35G25 35L05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
He, Cheng; Liu, Xiaochuan; Qu, Changzheng Orbital stability of two-component peakons. (English) Zbl 1515.35232 Sci. China, Math. 66, No. 7, 1395-1428 (2023). MSC: 35Q51 37K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Qinghua; Zhu, Mingxuan Orbital stability of pseudo-peakons for the fifth-order Camassa-Holm type equation. (English) Zbl 1530.35252 Appl. Math. Lett. 143, Article ID 108667, 7 p. (2023). MSC: 35Q53 35C08 35B35 37K10 37K35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Gong, Yuezheng; Hong, Qi; Wang, Chunwu; Wang, Yushun Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation based on the quadratic auxiliary variable approach. (English) Zbl 1524.65650 Adv. Appl. Math. Mech. 15, No. 5, 1233-1255 (2023). MSC: 65M70 65M06 65L06 65P10 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Krishnakumar, K.; Devi, A. Durga; Srinivasan, V.; Leach, P. G. L. Optimal system, similarity solution and Painlevé test on generalized modified Camassa-Holm equation. (English) Zbl 1518.35025 Indian J. Pure Appl. Math. 54, No. 2, 547-557 (2023). MSC: 35A30 35Q51 35Q53 76M60 34C14 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Nianhua A new 3-component Degasperis-Procesi hierarchy. (English) Zbl 07695172 Physica D 449, Article ID 133763, 9 p. (2023). MSC: 76B15 76B25 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Feng; Chu, Jifeng; Jiang, Ke Criterion for Lyapunov stability of periodic Camassa-Holm equations. (English) Zbl 1522.34079 Ann. Mat. Pura Appl. (4) 202, No. 4, 1557-1572 (2023). Reviewer: Andreas Fleige (Dortmund) MSC: 34D20 34B09 34A30 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Coclite, Giuseppe Maria; di Ruvo, Lorenzo On the classical solutions for the high order Camassa-Holm type equations. (English) Zbl 1516.35329 J. Math. Anal. Appl. 526, No. 1, Article ID 127338, 51 p. (2023). MSC: 35Q35 76B15 76B03 35A09 35A01 35A02 35B35 35G25 58D05 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Gaihua Multisoliton solutions of the two-component Camassa-Holm equation and its reductions. (English. Russian original) Zbl 1516.35362 Theor. Math. Phys. 214, No. 3, 308-333 (2023); translation from Teor. Mat. Fiz. 214, No. 3, 359-386 (2023). MSC: 35Q51 35C08 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. Global well-posedness of the viscous Camassa-Holm equation with gradient noise. (English) Zbl 1515.35376 Discrete Contin. Dyn. Syst. 43, No. 2, 568-618 (2023). Reviewer: Long Wei (Hangzhou) MSC: 35R60 35G25 60H15 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Dan-ping; Lu, Wei Solutions of the Camassa-Holm equation near the soliton. (English) Zbl 1514.35091 Acta Math. Appl. Sin., Engl. Ser. 39, No. 2, 450-464 (2023). MSC: 35C08 35A22 35B40 35C20 35F25 × Cite Format Result Cite Review PDF Full Text: DOI
Karpenko, Iryna; Shepelsky, Dmitry; Teschl, Gerald A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions. (English) Zbl 1512.35422 Monatsh. Math. 201, No. 1, 127-172 (2023). MSC: 35Q15 35Q53 37K15 35B40 37K40 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Zhiying; Yin, Zhaoyang Blow-up phenomena and the local well-posedness and ill-posedness of the generalized Camassa-Holm equation in critical Besov spaces. (English) Zbl 1512.35517 Monatsh. Math. 200, No. 4, 933-954 (2023). MSC: 35Q53 35B10 35B65 35C05 35B44 35A01 35A02 35R25 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Preston, Stephen C. Solar models and McKean’s breakdown theorem for the \(\mu \mathrm{CH}\) and \(\mu \mathrm{DP}\) equations. (English) Zbl 1512.35122 Math. Ann. 385, No. 3-4, 1181-1211 (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B44 35G25 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Robin Ming; Di, Huafei; Liu, Yue Stability of peaked solitary waves for a class of cubic quasilinear shallow-water equations. (English) Zbl 1512.35455 Int. Math. Res. Not. 2023, No. 7, 6186-6218 (2023). MSC: 35Q31 76B15 76B03 35C08 35B35 35B40 35B20 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Danping; Wen, Di Stability of disturbance decomposition near traveling wave solutions for the second-order Camassa-Holm equation. (English) Zbl 1512.35048 Monatsh. Math. 200, No. 3, 569-603 (2023). MSC: 35B35 35A22 35C07 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Long, Teng; Liu, Changjian Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations. (English) Zbl 1510.35045 Physica D 446, Article ID 133680, 7 p. (2023). MSC: 35B35 35C07 35C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shakeel, Muhammad; Bibi, Aysha; Zafar, Asim; Sohail, Muhammad Solitary wave solutions of Camassa-Holm and Degasperis-Procesi equations with Atangana’s conformable derivative. (English) Zbl 1511.35081 Comput. Appl. Math. 42, No. 2, Paper No. 101, 18 p. (2023). MSC: 35C08 35C05 35C07 35R11 × Cite Format Result Cite Review PDF Full Text: DOI