Qin, Guoquan; Yan, Zhenya; Guo, Boling The Cauchy problem and multi-peakons for the mCH-Novikov-CH equation with quadratic and cubic nonlinearities. (English) Zbl 07781541 J. Dyn. Differ. Equations 35, No. 4, 3295-3354 (2023). MSC: 35B30 35A01 35B44 35C08 35G25 35Q35 35Q53 PDFBibTeX XMLCite \textit{G. Qin} et al., J. Dyn. Differ. Equations 35, No. 4, 3295--3354 (2023; Zbl 07781541) Full Text: DOI arXiv
Yang, Yiling; Fan, Engui Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background. (English) Zbl 1516.35363 Adv. Math. 426, Article ID 109088, 86 p. (2023). MSC: 35Q51 35Q15 35Q53 35C08 35C20 35B40 37K15 41A60 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{E. Fan}, Adv. Math. 426, Article ID 109088, 86 p. (2023; Zbl 1516.35363) Full Text: DOI
Lundmark, Hans; Szmigielski, Jacek A view of the peakon world through the lens of approximation theory. (English) Zbl 1498.35003 Physica D 440, Article ID 133446, 44 p. (2022). MSC: 35-02 35C08 35Q51 37K10 PDFBibTeX XMLCite \textit{H. Lundmark} and \textit{J. Szmigielski}, Physica D 440, Article ID 133446, 44 p. (2022; Zbl 1498.35003) Full Text: DOI arXiv
Zhang, Lei Local and global pathwise solutions for a stochastically perturbed nonlinear dispersive PDE. (English) Zbl 1454.37078 Stochastic Processes Appl. 130, No. 10, 6319-6363 (2020). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 37L55 35L30 35Q35 35C07 35B44 35R60 60H15 PDFBibTeX XMLCite \textit{L. Zhang}, Stochastic Processes Appl. 130, No. 10, 6319--6363 (2020; Zbl 1454.37078) Full Text: DOI
Ma, Caochuan; Cao, Yaqiang; Guo, Zhengguang Large time behavior of momentum support for a Novikov type equation. (English) Zbl 1428.35040 Math. Phys. Anal. Geom. 22, No. 4, Paper No. 23, 12 p. (2019). MSC: 35B40 35G25 35Q53 PDFBibTeX XMLCite \textit{C. Ma} et al., Math. Phys. Anal. Geom. 22, No. 4, Paper No. 23, 12 p. (2019; Zbl 1428.35040) Full Text: DOI
Shen, Chunyu Weak solution of the Novikov equation and optimal control. (English) Zbl 1479.49051 Eur. J. Control 50, 1-10 (2019). MSC: 49K20 35Q53 49K40 35D30 PDFBibTeX XMLCite \textit{C. Shen}, Eur. J. Control 50, 1--10 (2019; Zbl 1479.49051) Full Text: DOI
Lundmark, Hans; Shuaib, Budor Ghostpeakons and characteristic curves for the Camassa-Holm, Degasperis-Procesi and Novikov equations. (English) Zbl 1414.35042 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 017, 51 p. (2019). MSC: 35C05 35C08 70H06 37J35 35A30 PDFBibTeX XMLCite \textit{H. Lundmark} and \textit{B. Shuaib}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 017, 51 p. (2019; Zbl 1414.35042) Full Text: DOI arXiv
Gao, Xiujuan; Lai, Shaoyong; Chen, Hongjin The stability of solutions for the Fornberg-Whitham equation in \(L^1(\mathbb{R})\) space. (English) Zbl 1499.35189 Bound. Value Probl. 2018, Paper No. 142, 13 p. (2018). MSC: 35G25 35L05 PDFBibTeX XMLCite \textit{X. Gao} et al., Bound. Value Probl. 2018, Paper No. 142, 13 p. (2018; Zbl 1499.35189) Full Text: DOI
Li, Kunquan; Shan, Meijing; Xu, Chongbin; Guo, Zhengguang The Cauchy problem on a generalized Novikov equation. (English) Zbl 1406.37057 Bull. Malays. Math. Sci. Soc. (2) 41, No. 4, 1859-1877 (2018). MSC: 37L05 35Q53 35L05 PDFBibTeX XMLCite \textit{K. Li} et al., Bull. Malays. Math. Sci. Soc. (2) 41, No. 4, 1859--1877 (2018; Zbl 1406.37057) Full Text: DOI
Yu, Shengqi Nonuniform dependence and persistence properties for a two-component Novikov system. (English) Zbl 1400.35072 Appl. Anal. 97, No. 14, 2450-2473 (2018). MSC: 35G25 35L05 35B30 35Q53 35B40 PDFBibTeX XMLCite \textit{S. Yu}, Appl. Anal. 97, No. 14, 2450--2473 (2018; Zbl 1400.35072) Full Text: DOI
Zhang, Lei; Liu, Bin Well-posedness and blow-up phenomena for an integrable three-component Camassa-Holm system. (English) Zbl 1400.35073 J. Math. Anal. Appl. 465, No. 2, 731-761 (2018). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 35G55 35B44 37K10 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{B. Liu}, J. Math. Anal. Appl. 465, No. 2, 731--761 (2018; Zbl 1400.35073) Full Text: DOI
Guo, Zhengguang On an integrable Camassa-Holm type equation with cubic nonlinearity. (English) Zbl 1353.35063 Nonlinear Anal., Real World Appl. 34, 225-232 (2017). MSC: 35B40 35G25 PDFBibTeX XMLCite \textit{Z. Guo}, Nonlinear Anal., Real World Appl. 34, 225--232 (2017; Zbl 1353.35063) Full Text: DOI
Zhang, Lei; Liu, Bin On the Cauchy problem for a class of shallow water wave equations with \((k+1)\)-order nonlinearities. (English) Zbl 1354.35119 J. Math. Anal. Appl. 445, No. 1, 151-185 (2017). MSC: 35Q35 35B44 35B65 35D35 76B15 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{B. Liu}, J. Math. Anal. Appl. 445, No. 1, 151--185 (2017; Zbl 1354.35119) Full Text: DOI
Lundmark, Hans; Szmigielski, Jacek An inverse spectral problem related to the Geng-Xue two-component peakon equation. (English) Zbl 1375.34030 Mem. Am. Math. Soc. 1155, viii, 87 p. (2016). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 34A55 35Q53 PDFBibTeX XMLCite \textit{H. Lundmark} and \textit{J. Szmigielski}, An inverse spectral problem related to the Geng-Xue two-component peakon equation. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1375.34030) Full Text: DOI arXiv
Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech A Riemann-Hilbert approach for the Novikov equation. (English) Zbl 1346.35177 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 095, 22 p. (2016). MSC: 35Q53 37K15 35Q15 35B40 35Q51 37K40 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 095, 22 p. (2016; Zbl 1346.35177) Full Text: DOI arXiv
Li, Xiuting The Cauchy problem and blow-up phenomena of a new integrable two-component Camassa-Holm system. (English) Zbl 1329.35269 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 132, 25-46 (2016). MSC: 35Q53 37L05 35G25 35Q35 35A10 PDFBibTeX XMLCite \textit{X. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 132, 25--46 (2016; Zbl 1329.35269) Full Text: DOI
Zhou, Jiangbo; Yang, Xiaoqing; Chen, Junde; Zhang, Wenbin On the optimal control problem for the Novikov equation with strong viscosity. (English) Zbl 1325.49007 J. Math. Anal. Appl. 433, No. 2, 1084-1109 (2016). MSC: 49J20 49K20 PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Math. Anal. Appl. 433, No. 2, 1084--1109 (2016; Zbl 1325.49007) Full Text: DOI
Zhao, Yongye; Li, Yongsheng; Yan, Wei The global weak solutions to the Cauchy problem of the generalized Novikov equation. (English) Zbl 1320.35315 Appl. Anal. 94, No. 7, 1334-1354 (2015). MSC: 35Q53 35A35 35B30 35G25 35D30 35D35 35B45 35C08 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Appl. Anal. 94, No. 7, 1334--1354 (2015; Zbl 1320.35315) Full Text: DOI
Zhang, Lei; Liu, Bin Optimal distributed controls of a class of nonlinear dispersive equations with cubic nonlinearity. (English) Zbl 1319.35281 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 23-42 (2015). MSC: 35Q93 35G25 93C20 49J20 35A25 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{B. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 23--42 (2015; Zbl 1319.35281) Full Text: DOI
Guo, Yantao; Tang, Yanbin Blow-up for the weakly dissipative generalized Camassa-Holm equation. (English) Zbl 1371.35003 J. Inequal. Appl. 2014, Paper No. 514, 15 p. (2014). MSC: 35A35 35B30 35G25 35Q53 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{Y. Tang}, J. Inequal. Appl. 2014, Paper No. 514, 15 p. (2014; Zbl 1371.35003) Full Text: DOI
Zhou, Shouming The Cauchy problem for a generalized \(b\)-equation with higher-order nonlinearities in critical Besov spaces and weighted \(L^p\) spaces. (English) Zbl 1312.35045 Discrete Contin. Dyn. Syst. 34, No. 11, 4967-4986 (2014). MSC: 35G25 35B44 PDFBibTeX XMLCite \textit{S. Zhou}, Discrete Contin. Dyn. Syst. 34, No. 11, 4967--4986 (2014; Zbl 1312.35045) Full Text: DOI
Lai, Shaoyong; Yan, Haibo; Li, Nan The global solution and blow-up phenomena to a modified Novikov equation. (English) Zbl 1304.35217 Bound. Value Probl. 2014, Paper No. 16, 9 p. (2014). MSC: 35G25 35B44 35D35 PDFBibTeX XMLCite \textit{S. Lai} et al., Bound. Value Probl. 2014, Paper No. 16, 9 p. (2014; Zbl 1304.35217) Full Text: DOI
Chen, Rong; Zhou, Shouming The Cauchy problem for a generalized Dullin-Gottwald-Holm equation in Besov spaces. (English) Zbl 1302.35114 Appl. Anal. 93, No. 9, 1921-1947 (2014). MSC: 35G25 35B44 PDFBibTeX XMLCite \textit{R. Chen} and \textit{S. Zhou}, Appl. Anal. 93, No. 9, 1921--1947 (2014; Zbl 1302.35114) Full Text: DOI
Zhou, Shouming; Mu, Chunlai; Wang, Liangchen Well-posedness, blow-up phenomena and global existence for the generalized \(b\)-equation with higher-order nonlinearities and weak dissipation. (English) Zbl 1277.35135 Discrete Contin. Dyn. Syst. 34, No. 2, 843-867 (2014). MSC: 35G25 35Q35 35B44 PDFBibTeX XMLCite \textit{S. Zhou} et al., Discrete Contin. Dyn. Syst. 34, No. 2, 843--867 (2014; Zbl 1277.35135) Full Text: DOI
Lai, Shaoyong; Wu, Meng The local strong and weak solutions to a generalized Novikov equation. (English) Zbl 1294.35104 Bound. Value Probl. 2013, Paper No. 134, 12 p. (2013). MSC: 35Q35 35Q51 35D35 35D30 42B25 PDFBibTeX XMLCite \textit{S. Lai} and \textit{M. Wu}, Bound. Value Probl. 2013, Paper No. 134, 12 p. (2013; Zbl 1294.35104) Full Text: DOI
Zhou, Shouming; Chen, Rong A few remarks on the generalized Novikov equation. (English) Zbl 1295.35194 J. Inequal. Appl. 2013, Paper No. 560, 19 p. (2013). MSC: 35G25 35B44 PDFBibTeX XMLCite \textit{S. Zhou} and \textit{R. Chen}, J. Inequal. Appl. 2013, Paper No. 560, 19 p. (2013; Zbl 1295.35194) Full Text: DOI
Lai, Shaoyong Global weak solutions to the Novikov equation. (English) Zbl 1283.35112 J. Funct. Anal. 265, No. 4, 520-544 (2013). MSC: 35Q53 35D30 PDFBibTeX XMLCite \textit{S. Lai}, J. Funct. Anal. 265, No. 4, 520--544 (2013; Zbl 1283.35112) Full Text: DOI