He, Huijun; Guan, Chunxia; Yin, Zhaoyang Uniqueness of global conservative weak solutions for two-component higher-order shallow water system. (English) Zbl 07948469 Discrete Contin. Dyn. Syst., Ser. B 30, No. 2, 474-495 (2025). MSC: 35G55 35A02 35B35 35D30 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Xi, Xiaojian; Hu, Weipeng; Tang, Bo; Deng, Pingwei; Qiao, Zhijun Multi-symplectic method for the two-component Camassa-Holm (2CH) system. (English) Zbl 07938328 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 50, 15 p. (2024). MSC: 37K06 37K10 37K40 37M15 35C08 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I. Higher-order reductions of the Mikhalev system. (English) Zbl 1542.35023 Lett. Math. Phys. 114, No. 3, Paper No. 68, 22 p. (2024). MSC: 35B06 35C05 35Q51 35Q53 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Qifeng; Yan, Tong; Xu, Dinghua; Chen, Yong Direct/split invariant-preserving Fourier pseudo-spectral methods for the rotation-two-component Camassa-Holm system with peakon solitons. (English) Zbl 07867583 Comput. Phys. Commun. 302, Article ID 109237, 22 p. (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Yeyu; Chen, Yong Global existence for the stochastic rotation-two-component Camassa-Holm system with nonlinear noise. (English) Zbl 1547.35609 Appl. Math. Lett. 153, Article ID 109043, 6 p. (2024). MSC: 35Q53 35R60 60J65 60H15 35B65 35A01 35A02 76U05 × 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
Pan, Shihang Lipschitz metric for the modified coupled Camassa-Holm system. (English) Zbl 1534.65143 Math. Methods Appl. Sci. 46, No. 17, 17839-17861 (2023). MSC: 65M06 65M12 35Q35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Min; Wang, Ying Blow-up of solutions for an integrable periodic two-component Camassa-Holm system with cubic nonlinearity. (English) Zbl 1535.35021 Math. Methods Appl. Sci. 46, No. 6, 7215-7229 (2023). Reviewer: Nilay Duruk Mutlubaş (İstanbul) MSC: 35B44 35G55 35Q51 × 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
Chen, Yong; Duan, Jinqiao; Gao, Hongjun Well-posedness and wave-breaking for the stochastic rotation-two-component Camassa-Holm system. (English) Zbl 1522.60054 Ann. Appl. Probab. 33, No. 4, 2734-2785 (2023). Reviewer: Martin Ondreját (Praha) MSC: 60H15 × Cite Format Result Cite Review PDF Full Text: DOI Link
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
Wang, Haiquan Some properties of the solutions of the \(N\)-component Camassa-Holm system with peakons. (English) Zbl 1514.35079 Monatsh. Math. 201, No. 2, 499-545 (2023). MSC: 35B65 35B30 35G55 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhaopeng; Yan, Kai Blow-up data for a two-component Camassa-Holm system with high order nonlinearity. (English) Zbl 1516.35126 J. Differ. Equations 358, 256-294 (2023). Reviewer: Nilay Duruk Mutlubas (İstanbul) MSC: 35B44 35G55 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Min; Zhang, Zhaoxian Curvature blow-up and peakons for the Camassa-Holm type equation. (English) Zbl 1509.35071 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107132, 18 p. (2023). MSC: 35B44 35G25 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haiquan; Jin, Yanpeng Nonuniform dependence for the two-component Camassa-Holm-type system with higher-order nonlinearity in Besov spaces. (English) Zbl 1505.35029 Rocky Mt. J. Math. 52, No. 5, 1801-1829 (2022). MSC: 35B30 35G55 35G61 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chen, Yong; Li, Xiaoxiao On the stochastic two-component Camassa-Holm system driven by pure jump noise. (English) Zbl 1498.60252 J. Differ. Equations 339, 476-508 (2022). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 35L05 35L70 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Xuanxuan; Wang, Tingting; Lu, Yibin On blow-up of solutions to a weakly dissipative two-component Camassa-Holm system. (English) Zbl 1497.35063 J. Nonlinear Math. Phys. 29, No. 3, 588-600 (2022). MSC: 35B44 35Q35 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Lijun; Wu, Xinglong Singularities in finite time of a 3-component Camassa-Holm equations. (English) Zbl 1498.35108 Appl. Math. Lett. 134, Article ID 108314, 8 p. (2022). MSC: 35B44 35A21 35D35 35G50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qifeng; Liu, Lingling; Zhang, Zhimin Linearly implicit invariant-preserving decoupled difference scheme for the rotation-two-component Camassa-Holm system. (English) Zbl 1492.65248 SIAM J. Sci. Comput. 44, No. 4, A2226-A2252 (2022). MSC: 65M06 35R11 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Mi, Yongsheng; Huang, Daiwen Blow-up for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. (English) Zbl 1490.35052 Monatsh. Math. 198, No. 1, 153-164 (2022). MSC: 35B44 35G55 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Ying; Wang, Haiquan A note on the solution map for the periodic multi-dimensional Camassa-Holm-type system. (English) Zbl 1485.35030 Monatsh. Math. 197, No. 3, 435-461 (2022). MSC: 35B30 35G61 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Wenguang Local-in-space blow-up for a weakly dissipative generalized two-component Camassa-Holm system. (English) Zbl 1480.35059 J. Math. Fluid Mech. 24, No. 1, Paper No. 8, 12 p. (2022). MSC: 35B44 35G55 35Q35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Holmes, John; Thompson, Ryan C.; Tiğlay, Feride Nonuniform dependence of the R-b-family system in Besov spaces. (English) Zbl 07813142 ZAMM, Z. Angew. Math. Mech. 101, No. 8, Article ID e202000329, 18 p. (2021). MSC: 35Q53 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Min; Qu, Changzheng The two-component Novikov-type systems with peaked solutions and \(H^1\)-conservation law. (English) Zbl 1506.37087 Commun. Pure Appl. Anal. 20, No. 7-8, 2857-2883 (2021). MSC: 37K10 37K40 37K06 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ying; Peng, Cong Ming Peakons and blow-up phenomena for an integrable two-component Camassa-Holm system. (Chinese. English summary) Zbl 1513.35049 Acta Math. Sin., Chin. Ser. 64, No. 6, 895-908 (2021). MSC: 35B30 35G25 × Cite Format Result Cite Review PDF Full Text: Link
Qu, Changzheng; Wu, Zhiwei Geometric curve flows and integrable systems. (English) Zbl 1513.37042 Adv. Math., Beijing 50, No. 5, 641-665 (2021). MSC: 37K25 35Q51 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Galtung, Sondre Tesdal; Grunert, Katrin A numerical study of variational discretizations of the Camassa-Holm equation. (English) Zbl 1477.35212 BIT 61, No. 4, 1271-1309 (2021). MSC: 35Q51 65M22 65L05 65M06 65M70 35C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Wenguang; Xu, Tianzhou Local well-posedness in the critical Besov space and blow-up for an \(n\)-component Camassa-Holm system. (English) Zbl 1486.35343 J. Math. Anal. Appl. 504, No. 2, Article ID 125423, 23 p. (2021). MSC: 35Q35 35B44 35A01 35A02 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Haoyang; Chong, Gezi Persistence properties for a new generalized two-component Camassa-Holm-type system. (English) Zbl 1474.35074 Chin. J. Eng. Math. 38, No. 2, 282-292 (2021). MSC: 35B30 35G25 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Galtung, Sondre Tesdal; Raynaud, Xavier A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa-Holm system. (English) Zbl 1464.35280 Nonlinearity 34, No. 4, 2220-2274 (2021). MSC: 35Q51 35Q53 35A15 37K58 39A60 65M80 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Xiaofang On wave-breaking phenomena for a new generalized two-component shallow water wave system. (English) Zbl 1467.35061 Monatsh. Math. 195, No. 1, 35-53 (2021). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B44 35A01 35B65 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Shihang; Zhou, Shouming; Zhang, Baoshuai Uniqueness and stability of global conservative solutions for the modified coupled Camassa-Holm system. (English) Zbl 1468.35177 Appl. Anal. 100, No. 6, 1301-1326 (2021); correction ibid. 100, No. 6, 1371 (2021). MSC: 35Q53 35B65 35C08 35D30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jingjing Blow-up phenomena for the rotation-two-component Camassa-Holm system. (English) Zbl 1458.35073 Appl. Anal. 100, No. 3, 574-588 (2021). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B44 35G55 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eidnes, Sølve; Li, Lu; Sato, Shun Linearly implicit structure-preserving schemes for Hamiltonian systems. (English) Zbl 1456.65063 J. Comput. Appl. Math. 387, Article ID 112489, 13 p. (2021). MSC: 65M06 65P10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chertock, Alina; Kurganov, Alexander; Liu, Yongle Finite-volume-particle methods for the two-component Camassa-Holm system. (English) Zbl 1473.65135 Commun. Comput. Phys. 27, No. 2, 480-502 (2020). MSC: 65M08 35Q35 76M12 76M28 76M99 86-08 86A15 × Cite Format Result Cite Review PDF Full Text: DOI
Qu, Changzheng; Fu, Ying On the Cauchy problem and peakons of a two-component Novikov system. (English) Zbl 1462.35134 Sci. China, Math. 63, No. 10, 1965-1996 (2020). MSC: 35C08 35B30 35G55 × Cite Format Result Cite Review PDF Full Text: DOI
Israwi, Samer Higher order dissipative-dispersive system and application. (English) Zbl 1474.35563 J. Partial Differ. Equations 33, No. 3, 261-274 (2020). MSC: 35Q53 35B65 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Shirvani, Vahid; Nadjafikhah, Mehdi Symmetry analysis and conservation laws for higher order Camassa-Holm equation. (English) Zbl 1474.58010 Comput. Methods Differ. Equ. 8, No. 2, 364-372 (2020). MSC: 58J70 35L65 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jibin; Han, Maoan Exact peakon solutions given by the generalized hyperbolic functions for some nonlinear wave equations. (English) Zbl 1459.35069 J. Appl. Anal. Comput. 10, No. 4, 1708-1719 (2020). MSC: 35C07 35Q53 35Q55 34A34 37L45 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Hui Obtaining multisoliton solutions of the \((2+1)\)-dimensional Camassa-Holm system using Darboux transformations. (English. Russian original) Zbl 1460.37069 Theor. Math. Phys. 205, No. 3, 1638-1651 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 451-466 (2020). MSC: 37K40 37K10 37K35 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yingying; Yan, Lu The three-component \(\mu\)-Camassa-Holm system with peaked solutions. (Chinese. English summary) Zbl 1463.35427 Pure Appl. Math. 36, No. 2, 168-183 (2020). MSC: 35Q51 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Gaihua; Li, Nianhua; Liu, Q. P. Multi-soliton solutions of a two-component Camassa-Holm system: Darboux transformation approach. (English) Zbl 1451.35053 Commun. Theor. Phys. 72, No. 4, Article ID 045003, 6 p. (2020). MSC: 35C08 35Q51 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Taĭshieva, Aĭgul’ Galimzhanovna; Myrzakul, Tolkynaĭ Ratbaĭkyzy; Nugmanova, Gulgasyl Nukarbaevna On equivalence of one spin system and two-component Camassa-Holm equation. (Russian. English summary) Zbl 1463.35160 Ufim. Mat. Zh. 12, No. 2, 49-54 (2020); translation in Ufa Math. J. 12, No. 2, 50-55 (2020). MSC: 35C08 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Li, Yingying; Fu, Ying; Qu, Changzheng The two-component \(\mu\)-Camassa-Holm system with peaked solutions. (English) Zbl 1447.35286 Discrete Contin. Dyn. Syst. 40, No. 10, 5929-5954 (2020). MSC: 35Q51 37K06 35B44 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haiquan; Chong, Gezi On the initial value problem for the two-coupled Camassa-Holm system in Besov spaces. (English) Zbl 1446.35020 Monatsh. Math. 193, No. 2, 479-505 (2020). MSC: 35B30 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Jing; Liu, Xiaochuan; Olver, P. J.; Qu, Changzheng Liouville correspondences between multicomponent integrable hierarchies. (English. Russian original) Zbl 1457.37087 Theor. Math. Phys. 204, No. 1, 843-874 (2020); translation from Teor. Mat. Fiz. 203, No. 1, 10-45 (2020). MSC: 37K10 37K06 35Q51 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Kai On the blow up solutions to a two-component cubic Camassa-Holm system with peakons. (English) Zbl 1442.35048 Discrete Contin. Dyn. Syst. 40, No. 7, 4565-4576 (2020). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B44 35G25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Shouming; Pan, Shihang; Mu, Chunlai; Luo, Honglin Non-uniform dependence on initial data for the two-component fractional shallow water wave system. (English) Zbl 1437.35018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111714, 15 p. (2020). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B20 35Q35 35G55 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Tianqiao; Liu, Yue On the modeling of equatorial shallow-water waves with the Coriolis effect. (English) Zbl 1451.35004 Physica D 391, 87-110 (2019). MSC: 35A02 35A01 35B44 86A05 37N10 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haiquan Non-uniform dependence on initial data for the periodic two-coupled Camassa-Holm system. (Chinese. English summary) Zbl 1449.35386 J. Shandong Univ., Nat. Sci. 54, No. 8, 42-49 (2019). MSC: 35Q53 35E15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuhui; Huang, Jingchi; Luo, Wei; Yu, Fang Local well-posedness and blow-up phenomenon for a generalization two-component Camassa-Holm system. (English) Zbl 1433.35334 J. Evol. Equ. 19, No. 4, 935-963 (2019). MSC: 35Q53 35B30 35B44 35C07 35G25 35A15 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Shaojie; Xu, Tianzhou Local-in-space blow-up and symmetric waves for a generalized two-component Camassa-Holm system. (English) Zbl 1428.35473 Appl. Math. Comput. 347, 514-521 (2019). MSC: 35Q53 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chenghua; Zeng, Rong; Zhou, Shouming; Wang, Bin; Mu, Chunlai Continuity for the rotation-two-component Camassa-Holm system. (English) Zbl 1428.35400 Discrete Contin. Dyn. Syst., Ser. B 24, No. 12, 6633-6652 (2019). MSC: 35Q35 76U05 46E35 35B30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yuanyuan; Hu, Qiaoyi Weak well-posedness of the weak solution to a three-component Camassa-Holm system with peakons. (Chinese. English summary) Zbl 1438.35097 Acta Sci. Nat. Univ. Sunyatseni 58, No. 1, 156-160 (2019). MSC: 35D30 35Q53 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Dutykh, Denys; Ionescu-Kruse, Delia Effects of vorticity on the travelling waves of some shallow water two-component systems. (English) Zbl 1415.74032 Discrete Contin. Dyn. Syst. 39, No. 9, 5521-5541 (2019). MSC: 74J30 76F10 35C07 76B25 70K05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guan, Chunxia; Wang, Jianming; Meng, Yiping Weak well-posedness for a modified two-component Camassa-Holm system. (English) Zbl 1404.35388 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 178, 247-265 (2019). MSC: 35Q53 35B30 35G55 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Lijun; Wang, Yue; Khalique, Chaudry Masood; Bai, Yuzhen Peakon and cuspon solutions of a generalized Camassa-Holm-Novikov equation. (English) Zbl 1472.34075 J. Appl. Anal. Comput. 8, No. 6, 1938-1958 (2018). Reviewer: Hong Li (Jiujiang) MSC: 34C23 35B65 35Q35 35C07 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Baoqiang; Qiao, Zhijun; Li, Jibin An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions. (English) Zbl 1524.37064 Commun. Nonlinear Sci. Numer. Simul. 63, 292-306 (2018). MSC: 37K10 35Q51 35C08 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Fengfeng; Zhou, Lingjun Inverse spectral problem and peakons of an integrable two-component Camassa-Holm system. (English) Zbl 1411.35236 J. Nonlinear Math. Phys. 25, No. 2, 290-308 (2018). MSC: 35Q51 37K15 34A55 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Geng; Chen, Robin Ming; Liu, Yue Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation. (English) Zbl 1501.35003 Indiana Univ. Math. J. 67, No. 6, 2393-2433 (2018). MSC: 35A01 35A02 35D30 35G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grasmair, Markus; Grunert, Katrin; Holden, Helge On the equivalence of Eulerian and Lagrangian variables for the two-component Camassa-Holm system. (English) Zbl 1406.35277 Rassias, Themistocles M. (ed.), Current research in nonlinear analysis. In honor of Haim Brezis and Louis Nirenberg. Cham: Springer (ISBN 978-3-319-89799-8/hbk; 978-3-319-89800-1/ebook). Springer Optimization and Its Applications 135, 157-201 (2018). MSC: 35Q35 35Q53 35R06 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Ting Stability of the Camassa-Holm multi-peakons in the dynamics of a shallow-water-type system. (English) Zbl 1406.35045 J. Dyn. Differ. Equations 30, No. 4, 1627-1659 (2018). MSC: 35B35 35G25 35G55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Lei; Liu, Bin Well-posedness, blow-up criteria and Gevrey regularity for a rotation-two-component Camassa-Holm system. (English) Zbl 1397.35234 Discrete Contin. Dyn. Syst. 38, No. 5, 2655-2685 (2018). MSC: 35Q35 35L35 35G55 35A10 35B44 35B65 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hongmin Degenerate form of a three-component Degasperis-Procesi equation. (English) Zbl 1394.35026 J. Math. Anal. Appl. 464, No. 2, 1082-1088 (2018). MSC: 35B25 35Q53 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Min; Wang, Ying Blow-up of solutions to the rotation b-family system modeling equatorial water waves. (English) Zbl 1391.35081 Electron. J. Differ. Equ. 2018, Paper No. 78, 23 p. (2018). MSC: 35B44 35G25 35Q35 35Q86 × Cite Format Result Cite Review PDF Full Text: Link
Eckhardt, Jonathan; Grunert, Katrin A Lagrangian view on complete integrability of the two-component Camassa-Holm system. (English) Zbl 1398.37059 J. Integrable Syst. 2, Article ID xyx002, 14 p. (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsuno, Yoshimasa Multisoliton solutions of the two-component Camassa-Holm system and their reductions. (English) Zbl 1402.37078 J. Phys. A, Math. Theor. 50, No. 34, Article ID 345202, 28 p. (2017). Reviewer: Handan Borluk (Istanbul) MSC: 37K10 35C08 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. (English) Zbl 1383.35156 SIAM J. Math. Anal. 49, No. 5, 3573-3602 (2017). Reviewer: Cheng He (Beijing) MSC: 35Q35 35B44 35C07 35C08 76U05 × Cite Format Result Cite Review PDF Full Text: DOI
An, Hongli; Kwong, Mankam; Yuen, Manwai Perturbational self-similar solutions for multi-dimensional Camassa-Holm-type equations. (English) Zbl 1370.35072 Electron. J. Differ. Equ. 2017, Paper No. 48, 12 p. (2017). MSC: 35C06 35C05 35Q35 76N10 × Cite Format Result Cite Review PDF Full Text: Link
Cai, Hong; Chen, Geng; Shen, Yannan Lipschitz metric for conservative solutions of the two-component Camassa-Holm system. (English) Zbl 1365.35133 Z. Angew. Math. Phys. 68, No. 1, Paper No. 5, 12 p. (2017). MSC: 35Q53 35B35 35L60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ying Wave breaking and global existence for the periodic rotation-Camassa-Holm system. (English) Zbl 1372.35051 Discrete Contin. Dyn. Syst. 37, No. 4, 2243-2257 (2017). MSC: 35B44 35B30 35G25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Long; Wang, Yang; Zhang, Haiying Breaking waves and persistence property for a two-component Camassa-Holm system. (English) Zbl 1352.35129 J. Math. Anal. Appl. 445, No. 1, 1084-1096 (2017). MSC: 35Q35 35B44 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhaqilao Multi-peakon solutions to a four-component Camassa-Holm type system. (English) Zbl 1463.35169 J. Appl. Anal. Comput. 6, No. 4, 907-916 (2016). MSC: 35D30 35C08 35C07 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Xiaocui; Gao, Xiaohong Analyticity of the Cauchy problem for a two-component Camassa-Holm system. (Chinese. English summary) Zbl 1363.35341 J. Northwest Univ., Nat. Sci. Ed. 46, No. 2, 162-166 (2016). MSC: 35Q53 35Q51 35A10 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Lu; Shi, Zhenhua; Wang, Hao; Kang, Jing Invariant subspaces and generalized functional separable solutions to the two-component \(b\)-family system. (English) Zbl 1363.35336 Acta Math. Sci., Ser. B, Engl. Ed. 36, No. 3, 753-764 (2016). MSC: 35Q53 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Wei; Yin, Zhaoyang Local well-posedness in the critical Besov space and persistence properties for a three-component Camassa-Holm system with N-peakon solutions. (English) Zbl 1351.35174 Discrete Contin. Dyn. Syst. 36, No. 9, 5047-5066 (2016). MSC: 35Q53 35A01 35B44 35B65 42B25 35D35 30H25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zeng; Yin, Zhaoyang Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm system. (English) Zbl 1339.35094 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 142, 112-133 (2016). MSC: 35G25 35L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Zhengguang; Wang, Weiming; Xu, Chongbin On the Camassa-Holm system with one mean zero component. (English) Zbl 1332.35288 Commun. Math. Sci. 14, No. 2, 517-534 (2016). MSC: 35Q35 37L05 37J35 58E35 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Lili; Gao, Hongjun; Liu, Yue On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. (English) Zbl 1338.35391 Adv. Math. 291, 59-89 (2016). Reviewer: Ma Wen-Xiu (Tampa) MSC: 35Q53 35B30 35G25 35B44 76U05 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Fei; Yan, Li; Wang, Run Rigorous derivation and propagation speed property for a two-component Degasperis-Procesi system in shallow water regimes. (English) Zbl 1390.35269 Appl. Math. Comput. 259, 980-986 (2015). MSC: 35Q35 35Q53 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hong-Min; Li, Yu-Qi; Chen, Yong Reciprocal transformations of two Camassa-Holm type equations. (English) Zbl 1330.35382 Commun. Theor. Phys. 64, No. 6, 619-622 (2015). MSC: 35Q53 37K35 37K10 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Quan, Feiguo; Guo, Zhenhua On the Cauchy problem for the high-order two-component Camassa-Holm system. (Chinese. English summary) Zbl 1340.35309 Acta Math. Appl. Sin. 38, No. 3, 540-558 (2015). MSC: 35Q53 35B44 × Cite Format Result Cite Review PDF
Lv, Guangying; Wang, Xiaohuan Non-uniform dependence on initial data of a modified periodic two-component Camassa-Holm system. (English) Zbl 1326.35319 ZAMM, Z. Angew. Math. Mech. 95, No. 5, 444-456 (2015). MSC: 35Q53 35B30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hong-Min; Li, Yu-Qi; Chen, Yong Dual hierarchies of a multi-component Camassa-Holm system. (English) Zbl 1325.37043 Commun. Theor. Phys. 64, No. 4, 372-378 (2015). MSC: 37K10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Defu; Li, Yongsheng; Yan, Wei On well-posedness of two-component Camassa-Holm system in the critical Besov space. (English) Zbl 1318.35097 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 120, 285-298 (2015). MSC: 35Q53 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Wei; Yin, Zhaoyang Global existence and local well-posedness for a three-component Camassa-Holm system with N-peakon solutions. (English) Zbl 1316.35253 J. Differ. Equations 259, No. 1, 201-234 (2015). MSC: 35Q53 35B30 35B44 35C07 35G25 35C08 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yujuan; Song, Yongduan Global dissipative solutions for the two-component Camassa-Holm shallow water system. (English) Zbl 1315.35125 Electron. J. Differ. Equ. 2015, Paper No. 14, 17 p. (2015). MSC: 35L65 35L51 35Q35 × Cite Format Result Cite Review PDF Full Text: EMIS
Yan, Kai; Qiao, Zhijun; Yin, Zhaoyang Qualitative analysis for a new integrable two-component Camassa-Holm system with peakon and weak kink solutions. (English) Zbl 1317.35219 Commun. Math. Phys. 336, No. 2, 581-617 (2015). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q51 35Q53 35C08 35B44 35D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moon, Byungsoo Global solutions to a special case of the generalized weakly dissipative periodic two-component Camassa-Holm system. (English) Zbl 1311.35066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 117, 38-46 (2015). MSC: 35G61 35B44 35B30 × Cite Format Result Cite Review PDF Full Text: DOI
Grunert, Katrin; Holden, Helge; Raynaud, Xavier A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. (English) Zbl 1315.35186 Forum Math. Sigma 3, Paper No. e1, 73 p. (2015). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q53 35A01 35D30 35B35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Robin Ming; Liu, Yue; Qu, Changzheng; Zhang, Shuanghu Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion. (English) Zbl 1310.35044 Adv. Math. 272, 225-251 (2015). MSC: 35B44 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Grunert, Katrin Blow-up for the two-component Camassa-Holm system. (English) Zbl 1308.35242 Discrete Contin. Dyn. Syst. 35, No. 5, 2041-2051 (2015). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35B35 35B44 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yunxi; Lai, Shaoyong The local well-posedness and global solution for a modified periodic two-component Camassa-Holm system. (English) Zbl 1315.35187 J. Math. Anal. Appl. 413, No. 2, 641-647 (2014). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Caochuan; Jin, Liangbing; Jin, Yanyi Two blow-up criteria of solutions to a modified two-component Camassa-Holm system. (English) Zbl 1311.35263 J. Inequal. Appl. 2014, Paper No. 54, 19 p. (2014). MSC: 35Q53 37K10 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Wujun; Alsaedi, Ahmed; Hayat, Tasawar; Zhou, Yong Wave breaking and infinite propagation speed for a modified two-component Camassa-Holm system with \(\kappa = 0\). (English) Zbl 1311.35262 J. Inequal. Appl. 2014, Paper No. 125, 15 p. (2014). MSC: 35Q53 37K10 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Guangying; Wang, Xiaohuan On the Cauchy problem for a two-component b-family system. (English) Zbl 1302.35115 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 111, 1-14 (2014). MSC: 35G25 35B30 × Cite Format Result Cite Review PDF Full Text: DOI
Tian, Lixin; Xia, Zhongnan; Zhang, Pingzheng Nonuniform continuity of the solution map to the two component Camassa-Holm system. (English) Zbl 1298.35182 J. Math. Anal. Appl. 416, No. 1, 374-389 (2014). MSC: 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Yanyi; Jiang, Zaihong Wave breaking of an integrable Camassa-Holm system with two components. (English) Zbl 1320.35312 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 107-116 (2014). MSC: 35Q53 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yujuan; Song, Yongduan On the global existence of dissipative solutions for the modified coupled Camassa-Holm system. (English) Zbl 1453.76028 Soft Comput. 17, No. 11, 2007-2019 (2013). MSC: 76B15 76B03 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI