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
Li, Nianhua; Qi, Huihui Multi-cuspon solutions of a generalized short pulse equation. (English) Zbl 1524.37061 Wave Motion 112, Article ID 102955, 8 p. (2022). MSC: 37K10 37K35 35Q51 PDFBibTeX XMLCite \textit{N. Li} and \textit{H. Qi}, Wave Motion 112, Article ID 102955, 8 p. (2022; Zbl 1524.37061) Full Text: DOI
Omel’yanov, G. Cuspon-type waves and their properties. (English) Zbl 07728711 Nonlinear Phenom. Complex Syst., Minsk 24, No. 2, 145-155 (2021). MSC: 35Q35 76B15 35D30 35B40 35C07 35C08 35R35 PDFBibTeX XMLCite \textit{G. Omel'yanov}, Nonlinear Phenom. Complex Syst., Minsk 24, No. 2, 145--155 (2021; Zbl 07728711) Full Text: DOI
Ma, Ruyun; Zhang, Yujuan; Xiong, Na; Feng, Bao-Feng Short wave limit of the Novikov equation and its integrable semi-discretizations. (English) Zbl 1507.37095 J. Phys. A, Math. Theor. 54, No. 49, Article ID 495701, 17 p. (2021). MSC: 37K10 37K60 35Q53 35Q51 PDFBibTeX XMLCite \textit{R. Ma} et al., J. Phys. A, Math. Theor. 54, No. 49, Article ID 495701, 17 p. (2021; Zbl 1507.37095) Full Text: DOI
Zheng, Xiaoxiao; Xiao, Qizhen; Ouyang, Zigen A smooth soliton solution and a periodic cuspon solution of the Novikov equation. (English) Zbl 1453.35042 Appl. Math. Lett. 112, Article ID 106786, 7 p. (2021). MSC: 35C07 35C08 35B10 35G25 35B32 PDFBibTeX XMLCite \textit{X. Zheng} et al., Appl. Math. Lett. 112, Article ID 106786, 7 p. (2021; Zbl 1453.35042) Full Text: DOI
Slavova, Angela; Popivanov, Petar Explicit solutions of some equations and systems of mathematical physics. (English) Zbl 1486.35359 Adv. Difference Equ. 2020, Paper No. 592, 14 p. (2020). MSC: 35Q51 37K10 37K40 35C05 35C08 PDFBibTeX XMLCite \textit{A. Slavova} and \textit{P. Popivanov}, Adv. Difference Equ. 2020, Paper No. 592, 14 p. (2020; Zbl 1486.35359) Full Text: DOI
Zhaqilao A pair of modified short pulse equations and its two-component system in nonlinear media. (English) Zbl 1524.78027 Wave Motion 96, Article ID 102553, 11 p. (2020). MSC: 78A40 35C08 35Q53 PDFBibTeX XMLCite \textit{Zhaqilao}, Wave Motion 96, Article ID 102553, 11 p. (2020; Zbl 1524.78027) Full Text: DOI
Ivanov, Rossen; Lyons, Tony; Orr, Nigel Camassa-Holm cuspons, solitons and their interactions via the dressing method. (English) Zbl 1436.37088 J. Nonlinear Sci. 30, No. 1, 225-260 (2020). MSC: 37K40 37K15 35C08 PDFBibTeX XMLCite \textit{R. Ivanov} et al., J. Nonlinear Sci. 30, No. 1, 225--260 (2020; Zbl 1436.37088) Full Text: DOI arXiv
Lin, Bohuan; Yin, Zhaoyang The Cauchy problem for a generalized Camassa-Holm equation with the velocity potential. (English) Zbl 1461.35108 Appl. Anal. 97, No. 3, 354-367 (2018). MSC: 35G25 35L05 35B44 PDFBibTeX XMLCite \textit{B. Lin} and \textit{Z. Yin}, Appl. Anal. 97, No. 3, 354--367 (2018; Zbl 1461.35108) Full Text: DOI
Zhao, Haixia; Tang, Shengqiang Peakon, pseudo-peakon, cuspon and smooth solitons for a nonlocal Kerr-like media. (English) Zbl 1367.35161 Math. Methods Appl. Sci. 40, No. 7, 2702-2712 (2017). MSC: 35Q55 35C08 35B32 78A60 34L40 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{S. Tang}, Math. Methods Appl. Sci. 40, No. 7, 2702--2712 (2017; Zbl 1367.35161) Full Text: DOI
Li, Hong; Wang, Kan-Min; Ma, Li-Lin Compacton-like solutions in a Camassa-Holm type equation. (English) Zbl 1327.35054 Commun. Theor. Phys. 64, No. 5, 515-518 (2015). MSC: 35C07 PDFBibTeX XMLCite \textit{H. Li} et al., Commun. Theor. Phys. 64, No. 5, 515--518 (2015; Zbl 1327.35054) Full Text: DOI
Li, Jibin; Qiao, Zhijun Bifurcation and traveling wave solutions for the Fokas equation. (English) Zbl 1326.34016 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550136, 13 p. (2015). MSC: 34A05 34C05 35C07 34C40 34C23 34C25 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Qiao}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550136, 13 p. (2015; Zbl 1326.34016) Full Text: DOI
Li, Chunhai; Wen, Shuangquan; Chen, Aiyong Single peak solitary wave and compacton solutions of the generalized two-component Hunter-Saxton system. (English) Zbl 1345.37071 Nonlinear Dyn. 79, No. 2, 1575-1585 (2015). MSC: 37K10 35C08 35C07 35Q51 PDFBibTeX XMLCite \textit{C. Li} et al., Nonlinear Dyn. 79, No. 2, 1575--1585 (2015; Zbl 1345.37071) Full Text: DOI
Ma, Lilin; Li, Hong; Ma, Jun Single-peak solitary wave solutions for the generalized Korteweg-de Vries equation. (English) Zbl 1331.35079 Nonlinear Dyn. 79, No. 1, 349-357 (2015). MSC: 35C08 35Q53 PDFBibTeX XMLCite \textit{L. Ma} et al., Nonlinear Dyn. 79, No. 1, 349--357 (2015; Zbl 1331.35079) Full Text: DOI
Qiao, Li-Jing; Tang, Sheng-Qiang; Zhao, Hai-Xia Single peak soliton and periodic cusp wave of the generalized Schrödinger-Boussinesq equations. (English) Zbl 1319.35241 Commun. Theor. Phys. 63, No. 6, 731-742 (2015). MSC: 35Q55 35C08 35A01 PDFBibTeX XMLCite \textit{L.-J. Qiao} et al., Commun. Theor. Phys. 63, No. 6, 731--742 (2015; Zbl 1319.35241) Full Text: DOI
Wei, Minzhi; Sun, Xianbo; Tang, Shengqiang Single peak solitary wave solutions for the CH-KP(2,1) equation under boundary condition. (English) Zbl 1315.35056 J. Differ. Equations 259, No. 2, 628-641 (2015). MSC: 35C08 35G25 PDFBibTeX XMLCite \textit{M. Wei} et al., J. Differ. Equations 259, No. 2, 628--641 (2015; Zbl 1315.35056) Full Text: DOI
Zhong, Liyan; Tang, Shengqiang; Li, Dong; Zhao, Haixia Compacton, peakon, cuspons, loop solutions and smooth solitons for the generalized KP-MEW equation. (English) Zbl 1369.35081 Comput. Math. Appl. 68, No. 12, Part A, 1775-1786 (2014). MSC: 35Q53 35C07 35C08 37K40 37M05 PDFBibTeX XMLCite \textit{L. Zhong} et al., Comput. Math. Appl. 68, No. 12, Part A, 1775--1786 (2014; Zbl 1369.35081) Full Text: DOI
Chen, Aiyong; Zhu, Wenjing; Qiao, Zhijun; Huang, Wentao Algebraic traveling wave solutions of a non-local hydrodynamic-type model. (English) Zbl 1310.34002 Math. Phys. Anal. Geom. 17, No. 3-4, 465-482 (2014). MSC: 34A05 35Q51 35C07 34C45 PDFBibTeX XMLCite \textit{A. Chen} et al., Math. Phys. Anal. Geom. 17, No. 3--4, 465--482 (2014; Zbl 1310.34002) Full Text: DOI
Li, Hong; Ma, Lilin; Wang, Kanmin Single peak solitary wave solutions for the generalized Camassa-Holm equation. (English) Zbl 1317.37092 Appl. Anal. 93, No. 9, 1909-1920 (2014). MSC: 37K40 35C08 35Q51 35Q53 PDFBibTeX XMLCite \textit{H. Li} et al., Appl. Anal. 93, No. 9, 1909--1920 (2014; Zbl 1317.37092) Full Text: DOI
Li, Jibin Exact cuspon and compactons of the Novikov equation. (English) Zbl 1296.34003 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 3, Article ID 1450037, 8 p. (2014). MSC: 34A05 34C23 35C07 PDFBibTeX XMLCite \textit{J. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 3, Article ID 1450037, 8 p. (2014; Zbl 1296.34003) Full Text: DOI
Wei, Minzhi; Tang, Shengqiang; Fu, Hualiang; Chen, Guangxi Single peak solitary wave solutions for the generalized KP-MEW \((2,2)\) equation under boundary condition. (English) Zbl 1290.35234 Appl. Math. Comput. 219, No. 17, 8979-8990 (2013). MSC: 35Q53 76B25 35C08 PDFBibTeX XMLCite \textit{M. Wei} et al., Appl. Math. Comput. 219, No. 17, 8979--8990 (2013; Zbl 1290.35234) Full Text: DOI
Popivanov, Petar; Slavova, Angela Full classification of the travelling wave solutions of Fornberg-Whitham equation. Solutions with explicit forms. (English) Zbl 1265.35312 C. R. Acad. Bulg. Sci. 65, No. 5, 563-574 (2012). Reviewer: Ivan Landjev (Sofia) MSC: 35Q53 37J35 35C05 76B15 PDFBibTeX XMLCite \textit{P. Popivanov} and \textit{A. Slavova}, C. R. Acad. Bulg. Sci. 65, No. 5, 563--574 (2012; Zbl 1265.35312)
Chen, Aiyong; Li, Jibin; Huang, Wentao Single peak solitary wave solutions for the Fornberg-Whitham equation. (English) Zbl 1238.35116 Appl. Anal. 91, No. 3, 587-600 (2012). MSC: 35Q51 35Q53 35C08 PDFBibTeX XMLCite \textit{A. Chen} et al., Appl. Anal. 91, No. 3, 587--600 (2012; Zbl 1238.35116) Full Text: DOI
Qiao, Zhijun; Li, Xianqi Erratum to: “An integrable equation with nonsmooth solitons”. (English. Russian original) Zbl 1417.37226 Theor. Math. Phys. 169, No. 1, 1515 (2011); translation from Teor. Mat. Fiz. 169, No. 1, 176 (2011). MSC: 37K05 37K10 37K40 PDFBibTeX XMLCite \textit{Z. Qiao} and \textit{X. Li}, Theor. Math. Phys. 169, No. 1, 1515 (2011; Zbl 1417.37226); translation from Teor. Mat. Fiz. 169, No. 1, 176 (2011) Full Text: DOI
Qiao, Zhijun; Li, Xianqi An integrable equation with nonsmooth solitons. (English. Russian original) Zbl 1417.37225 Theor. Math. Phys. 167, No. 2, 584-589 (2011); translation from Teor. Mat. Fiz. 167, No. 2, 214-221 (2011); erratum ibid. 169, No. 1, 1515 (2011); translation from Teor. Mat. Fiz. 169, No. 1, 176 (2011). MSC: 37K05 37K10 37K40 PDFBibTeX XMLCite \textit{Z. Qiao} and \textit{X. Li}, Theor. Math. Phys. 167, No. 2, 584--589 (2011; Zbl 1417.37225); translation from Teor. Mat. Fiz. 167, No. 2, 214--221 (2011); erratum ibid. 169, No. 1, 1515 (2011) Full Text: DOI
Zhang, Lina; Chen, Aiyong; Tang, Jiade Special exact soliton solutions for the \(K(2, 2)\) equation with non-zero constant pedestal. (English) Zbl 1239.35135 Appl. Math. Comput. 218, No. 8, 4448-4457 (2011). MSC: 35Q51 35C08 PDFBibTeX XMLCite \textit{L. Zhang} et al., Appl. Math. Comput. 218, No. 8, 4448--4457 (2011; Zbl 1239.35135) Full Text: DOI
Zhang, Lina; Chen, Aiyong; Tang, Jiade Qualitative behavior and cusped solitons for a partial differential equation. (English) Zbl 1221.35383 Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2486-2492 (2011). MSC: 35Q53 35C08 37K40 PDFBibTeX XMLCite \textit{L. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2486--2492 (2011; Zbl 1221.35383) Full Text: DOI
Chen, Aiyong; Li, Jibin Single peak solitary wave solutions for the osmosis \(K(2,2)\) equation under inhomogeneous boundary condition. (English) Zbl 1196.35180 J. Math. Anal. Appl. 369, No. 2, 758-766 (2010). MSC: 35Q53 35C08 35B65 37K10 35B40 PDFBibTeX XMLCite \textit{A. Chen} and \textit{J. Li}, J. Math. Anal. Appl. 369, No. 2, 758--766 (2010; Zbl 1196.35180) Full Text: DOI
Popivanov, P.; Slavova, A. Peakons, cuspons, compactons, solitons, kinks and periodic solutions of several third order nonlinear PDE and their cellular neural network realization. (English) Zbl 1196.35187 Funct. Differ. Equ. 16, No. 4, 609-626 (2009). MSC: 35Q53 35Q51 76B25 76B15 92B20 35C08 35B10 PDFBibTeX XMLCite \textit{P. Popivanov} and \textit{A. Slavova}, Funct. Differ. Equ. 16, No. 4, 609--626 (2009; Zbl 1196.35187)
Dai, Hui-Hui; Li, Yishen; Su, Ting Multi-soliton and multi-cuspon solutions of a Camassa-Holm hierarchy and their interactions. (English) Zbl 1155.35080 J. Phys. A, Math. Theor. 42, No. 5, Article ID 055203, 13 p. (2009). MSC: 35Q51 35Q53 37K10 37K40 37K35 PDFBibTeX XMLCite \textit{H.-H. Dai} et al., J. Phys. A, Math. Theor. 42, No. 5, Article ID 055203, 13 p. (2009; Zbl 1155.35080) Full Text: DOI
Ohta, Yasuhiro; Maruno, Ken-Ichi; Feng, Bao-Feng An integrable semi-discretization of the Camassa-Holm equation and its determinant solution. (English) Zbl 1180.76011 J. Phys. A, Math. Theor. 41, No. 35, Article ID 355205, 30 p. (2008). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 76B15 PDFBibTeX XMLCite \textit{Y. Ohta} et al., J. Phys. A, Math. Theor. 41, No. 35, Article ID 355205, 30 p. (2008; Zbl 1180.76011) Full Text: DOI arXiv
Sun, Lu; Tian, Lixin Singular solitons of generalized Camassa-Holm models. (Chinese. English summary) Zbl 1150.35535 Acta Phys. Sin. 56, No. 7, 3667-3674 (2007). MSC: 35Q51 PDFBibTeX XMLCite \textit{L. Sun} and \textit{L. Tian}, Acta Phys. Sin. 56, No. 7, 3667--3674 (2007; Zbl 1150.35535)
Kraenkel, R. A.; Zenchuk, A. Camassa-Holm equation: transformation to deformed sinh-Gordon equations, cuspon and soliton solutions. (English) Zbl 0941.35094 J. Phys. A, Math. Gen. 32, No. 25, 4733-4747 (1999). MSC: 35Q53 35C08 37K10 37K40 PDFBibTeX XMLCite \textit{R. A. Kraenkel} and \textit{A. Zenchuk}, J. Phys. A, Math. Gen. 32, No. 25, 4733--4747 (1999; Zbl 0941.35094) Full Text: DOI