Wang, Dong; Gao, Yi-Tian; Yu, Xin; Deng, Gao-Fu; Liu, Fei-Yan Painlevé analysis, Bäcklund transformation, Lax pair, periodic- and travelling-wave solutions for a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics. (English) Zbl 1526.35111 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024). MSC: 35C07 35A22 35Q35 37K10 PDFBibTeX XMLCite \textit{D. Wang} et al., Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024; Zbl 1526.35111) Full Text: DOI
Wen, Ting; Sun, Jianqing Quasi-periodic waves and asymptotic behavior for a coupled nonlinear Klein-Gordon equation. (English) Zbl 07748563 Proc. Am. Math. Soc. 151, No. 12, 5265-5282 (2023). MSC: 37K40 35Q51 35B10 35C07 PDFBibTeX XMLCite \textit{T. Wen} and \textit{J. Sun}, Proc. Am. Math. Soc. 151, No. 12, 5265--5282 (2023; Zbl 07748563) Full Text: DOI
Liang, Zhuo-Yao; Sun, Jian-Qing; Yu, Guo-Fu; Zhong, Yi-Ning A numerical study of \(N\)-periodic wave solutions to four integrable equations. (English) Zbl 1501.35120 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106858, 13 p. (2023). MSC: 35C08 35C10 35Q51 PDFBibTeX XMLCite \textit{Z.-Y. Liang} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106858, 13 p. (2023; Zbl 1501.35120) Full Text: DOI
Su, Jing-Jing; Deng, Gao-Fu Quasi-periodic waves and irregular solitary waves of the \(AB\) system. (English) Zbl 1502.76040 Waves Random Complex Media 32, No. 2, 856-866 (2022). MSC: 76E20 76U60 76B25 86A05 PDFBibTeX XMLCite \textit{J.-J. Su} and \textit{G.-F. Deng}, Waves Random Complex Media 32, No. 2, 856--866 (2022; Zbl 1502.76040) Full Text: DOI
Tian, Shoufu On hyperelliptic functions and their applictions to the Nizhnik-Novikov-Veselov equation. (Chinese. English summary) Zbl 07796243 Acta Math. Appl. Sin. 44, No. 6, 751-762 (2021). MSC: 35Q51 35Q53 PDFBibTeX XMLCite \textit{S. Tian}, Acta Math. Appl. Sin. 44, No. 6, 751--762 (2021; Zbl 07796243) Full Text: Link
Yan, Xue-Wei; Tian, Shou-Fu; Dong, Min-Jie; Zhang, Tian-Tian Dynamics of lump solutions, lump-kink solutions and periodic lump solutions in a \((3+1)\)-dimensional generalized Jimbo-Miwa equation. (English) Zbl 1518.76010 Waves Random Complex Media 31, No. 2, 293-304 (2021). MSC: 76B25 35Q51 PDFBibTeX XMLCite \textit{X.-W. Yan} et al., Waves Random Complex Media 31, No. 2, 293--304 (2021; Zbl 1518.76010) Full Text: DOI
Wang, Xue-Xia; Sun, Jian-Qing; Zhang, Ying-Nan A numerical study on the \(N\)-periodic wave solutions of two coupled bilinear equations. (English) Zbl 1489.65079 Numer. Algorithms 88, No. 2, 711-728 (2021). MSC: 65J15 35B10 35Q53 37K40 37K10 PDFBibTeX XMLCite \textit{X.-X. Wang} et al., Numer. Algorithms 88, No. 2, 711--728 (2021; Zbl 1489.65079) Full Text: DOI
Wang, Xiu-Bin; Han, Bo Solitons in nonlinear systems with higher-order effects. (English) Zbl 1451.35202 Appl. Math. Lett. 111, Article ID 106656, 5 p. (2021). MSC: 35Q55 78A60 35C08 65D18 PDFBibTeX XMLCite \textit{X.-B. Wang} and \textit{B. Han}, Appl. Math. Lett. 111, Article ID 106656, 5 p. (2021; Zbl 1451.35202) Full Text: DOI
Wang, Dong; Gao, Yi-Tian; Ding, Cui-Cui; Zhang, Cai-Yin Solitons and periodic waves for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics and plasma physics. (English) Zbl 1520.35134 Commun. Theor. Phys. 72, No. 11, Article ID 115004, 7 p. (2020). MSC: 35Q51 35Q35 35C07 35C08 PDFBibTeX XMLCite \textit{D. Wang} et al., Commun. Theor. Phys. 72, No. 11, Article ID 115004, 7 p. (2020; Zbl 1520.35134) Full Text: DOI
Wang, Hui; Tian, Shou-Fu; Zhang, Tian-Tian; Chen, Yi The breather wave solutions, M-lump solutions and semi-rational solutions to a (2+1)-dimensional generalized Korteweg-de Vries equation. (English) Zbl 1464.35292 J. Appl. Anal. Comput. 10, No. 1, 118-130 (2020). MSC: 35Q51 35Q53 35C08 37K35 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Appl. Anal. Comput. 10, No. 1, 118--130 (2020; Zbl 1464.35292) Full Text: DOI
Chen, Yiren New generalized soliton solutions for a \((3 + 1)\)-dimensional equation. (English) Zbl 1435.35113 Adv. Math. Phys. 2020, Article ID 7640717, 4 p. (2020). MSC: 35C08 35G25 35Q53 PDFBibTeX XMLCite \textit{Y. Chen}, Adv. Math. Phys. 2020, Article ID 7640717, 4 p. (2020; Zbl 1435.35113) Full Text: DOI
Feng, Lian-Li; Tian, Shou-Fu; Zhang, Tian-Tian Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation. (English) Zbl 1435.35296 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 141-155 (2020). MSC: 35Q35 35Q51 35Q53 68W30 37K35 76B15 35C08 PDFBibTeX XMLCite \textit{L.-L. Feng} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 141--155 (2020; Zbl 1435.35296) Full Text: DOI
Zou, Li; Yu, Zong-Bing; Tian, Shou-Fu; Wang, Xiu-Bin; Li, Jin Lie point symmetries, conservation laws, and analytical solutions of a generalized time-fractional Sawada-Kotera equation. (English) Zbl 1505.35359 Waves Random Complex Media 29, No. 3, 509-522 (2019). MSC: 35R11 35A30 35Q53 58J70 PDFBibTeX XMLCite \textit{L. Zou} et al., Waves Random Complex Media 29, No. 3, 509--522 (2019; Zbl 1505.35359) Full Text: DOI
Qin, Chun-Yan; Tian, Shou-Fu; Wang, Xiu-Bin; Zhang, Tian-Tian Lie symmetry analysis, conservation laws and analytical solutions for a generalized time-fractional modified KdV equation. (English) Zbl 1505.35357 Waves Random Complex Media 29, No. 3, 456-476 (2019). MSC: 35R11 35A30 35Q53 58J70 PDFBibTeX XMLCite \textit{C.-Y. Qin} et al., Waves Random Complex Media 29, No. 3, 456--476 (2019; Zbl 1505.35357) Full Text: DOI
Ma, Pan-Li; Tian, Shou-Fu; Zou, Li; Zhang, Tian-Tian The solitary waves, quasi-periodic waves and integrability of a generalized fifth-order Korteweg-de Vries equation. (English) Zbl 07583627 Waves Random Complex Media 29, No. 2, 247-263 (2019). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{P.-L. Ma} et al., Waves Random Complex Media 29, No. 2, 247--263 (2019; Zbl 07583627) Full Text: DOI
Liu, Wenhao; Zhang, Yufeng; Shi, Dandan Lump waves, solitary waves and interaction phenomena to the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equation. (English) Zbl 1428.35457 Phys. Lett., A 383, No. 2-3, 97-102 (2019). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{W. Liu} et al., Phys. Lett., A 383, No. 2--3, 97--102 (2019; Zbl 1428.35457) Full Text: DOI
Dong, Min-Jie; Tian, Shou-Fu; Wang, Xiu-Bin; Zhang, Tian-Tian Lump-type solutions and interaction solutions in the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation. (English) Zbl 1425.35173 Anal. Math. Phys. 9, No. 3, 1511-1523 (2019). MSC: 35Q53 35Q51 35Q55 35C08 37K10 PDFBibTeX XMLCite \textit{M.-J. Dong} et al., Anal. Math. Phys. 9, No. 3, 1511--1523 (2019; Zbl 1425.35173) Full Text: DOI
Wang, Hui; Tian, Shou-Fu; Zhang, Tian-Tian; Chen, Yi; Fang, Yong General lump solutions, lumpoff solutions, and rogue wave solutions with predictability for the \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 1438.35374 Comput. Appl. Math. 38, No. 4, Paper No. 164, 15 p. (2019). MSC: 35Q53 74J35 76B25 PDFBibTeX XMLCite \textit{H. Wang} et al., Comput. Appl. Math. 38, No. 4, Paper No. 164, 15 p. (2019; Zbl 1438.35374) Full Text: DOI
Wang, Hui; Tian, Shoufu; Zhang, Tiantian; Chen, Yi Lump wave and hybrid solutions of a generalized (3 + 1)-dimensional nonlinear wave equation in liquid with gas bubbles. (English) Zbl 1421.35315 Front. Math. China 14, No. 3, 631-643 (2019). MSC: 35Q51 35Q53 37K40 76T10 PDFBibTeX XMLCite \textit{H. Wang} et al., Front. Math. China 14, No. 3, 631--643 (2019; Zbl 1421.35315) Full Text: DOI
Lan, Zhongzhou Periodic, breather and rogue wave solutions for a generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. (English) Zbl 1412.35050 Appl. Math. Lett. 94, 126-132 (2019). MSC: 35C07 35G20 35C08 PDFBibTeX XMLCite \textit{Z. Lan}, Appl. Math. Lett. 94, 126--132 (2019; Zbl 1412.35050) Full Text: DOI
Qin, Chun-Yan; Tian, Shou-Fu; Wang, Xiu-Bin; Zou, Li; Zhang, Tian-Tian Lie symmetry analysis, conservation laws and analytic solutions of the time fractional Kolmogorov-Petrovskii-Piskunov equation. (English) Zbl 07820326 Chin. J. Phys., Taipei 56, No. 4, 1734-1742 (2018). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDFBibTeX XMLCite \textit{C.-Y. Qin} et al., Chin. J. Phys., Taipei 56, No. 4, 1734--1742 (2018; Zbl 07820326) Full Text: DOI
Deng, Gao-Fu; Gao, Yi-Tian; Gao, Xin-Yi Bäcklund transformation, infinitely-many conservation laws, solitary and periodic waves of an extended \((3+1)\)-dimensional Jimbo-Miwa equation with time-dependent coefficients. (English) Zbl 07583368 Waves Random Complex Media 28, No. 3, 468-487 (2018). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{G.-F. Deng} et al., Waves Random Complex Media 28, No. 3, 468--487 (2018; Zbl 07583368) Full Text: DOI
Peng, Wei-Qi; Tian, Shou-Fu; Zhang, Tian-Tian On the breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation. (English) Zbl 1499.34260 Filomat 32, No. 14, 4959-4969 (2018). MSC: 34C37 35L65 35C07 PDFBibTeX XMLCite \textit{W.-Q. Peng} et al., Filomat 32, No. 14, 4959--4969 (2018; Zbl 1499.34260) Full Text: DOI
Qin, Chun-Yan; Tian, Shou-Fu; Zou, Li; Ma, Wen-Xiu Solitary wave and quasi-periodic wave solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. (English) Zbl 1488.35466 Adv. Appl. Math. Mech. 10, No. 4, 948-977 (2018). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDFBibTeX XMLCite \textit{C.-Y. Qin} et al., Adv. Appl. Math. Mech. 10, No. 4, 948--977 (2018; Zbl 1488.35466) Full Text: DOI
Dong, Min-Jie; Tian, Shou-Fu; Yan, Xue-Wei; Zou, Li Solitary waves, homoclinic breather waves and rogue waves of the (3 + 1)-dimensional Hirota bilinear equation. (English) Zbl 1409.35180 Comput. Math. Appl. 75, No. 3, 957-964 (2018). MSC: 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{M.-J. Dong} et al., Comput. Math. Appl. 75, No. 3, 957--964 (2018; Zbl 1409.35180) Full Text: DOI
Su, Ting Periodic solutions to a coupled two-dimensional lattice presented by Blaszak and Szum with Riemann-theta function. (English) Zbl 1448.37091 Adv. Difference Equ. 2018, Paper No. 331, 14 p. (2018). MSC: 37K60 37K20 39A36 PDFBibTeX XMLCite \textit{T. Su}, Adv. Difference Equ. 2018, Paper No. 331, 14 p. (2018; Zbl 1448.37091) Full Text: DOI
Peng, Wei-Qi; Tian, Shou-Fu; Zou, Li; Zhang, Tian-Tian Characteristics of the solitary waves and lump waves with interaction phenomena in a \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation. (English) Zbl 1398.37066 Nonlinear Dyn. 93, No. 4, 1841-1851 (2018). MSC: 37K10 35C08 PDFBibTeX XMLCite \textit{W.-Q. Peng} et al., Nonlinear Dyn. 93, No. 4, 1841--1851 (2018; Zbl 1398.37066) Full Text: DOI
Yan, Xue-Wei; Tian, Shou-Fu; Dong, Min-Jie; Zou, Li Bäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation. (English) Zbl 1398.37080 Nonlinear Dyn. 92, No. 2, 709-720 (2018). MSC: 37K35 37K10 PDFBibTeX XMLCite \textit{X.-W. Yan} et al., Nonlinear Dyn. 92, No. 2, 709--720 (2018; Zbl 1398.37080) Full Text: DOI
Fang, Chun-Mei; Tian, Shou-Fu; Feng, Yang; Dai, Jin-Hua On the integrability and Riemann theta functions periodic wave solutions of the Benjamin Ono equation. (English) Zbl 1398.37075 Nonlinear Dyn. 92, No. 2, 235-246 (2018). MSC: 37K35 37K10 PDFBibTeX XMLCite \textit{C.-M. Fang} et al., Nonlinear Dyn. 92, No. 2, 235--246 (2018; Zbl 1398.37075) Full Text: DOI
Pang, J.; He, L. C.; Zhao, Z. L. On one- and two-periodic wave solutions of the ninth-order KdV equation. (English) Zbl 1403.35265 Math. Notes 103, No. 6, 943-951 (2018). MSC: 35Q53 35B10 37K10 35C08 PDFBibTeX XMLCite \textit{J. Pang} et al., Math. Notes 103, No. 6, 943--951 (2018; Zbl 1403.35265) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu; Feng, Lian-Li; Zhang, Tian-Tian On quasi-periodic waves and rogue waves to the \((4+1)\)-dimensional nonlinear Fokas equation. (English) Zbl 1412.35314 J. Math. Phys. 59, No. 7, 073505, 18 p. (2018). Reviewer: Alessandro Selvitella (Ottawa) MSC: 35Q55 35L70 35C07 35C08 76B25 14K25 PDFBibTeX XMLCite \textit{X.-B. Wang} et al., J. Math. Phys. 59, No. 7, 073505, 18 p. (2018; Zbl 1412.35314) Full Text: DOI
Tian, Shou-Fu; Zou, Li; Zhang, Tian-Tian Lie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equation. (English) Zbl 07813402 Chin. J. Phys., Taipei 55, No. 5, 1938-1952 (2017). MSC: 35Qxx 22Exx 58Jxx PDFBibTeX XMLCite \textit{S.-F. Tian} et al., Chin. J. Phys., Taipei 55, No. 5, 1938--1952 (2017; Zbl 07813402) Full Text: DOI
Feng, Lian-Li; Tian, Shou-Fu; Wang, Xiu-Bin; Zhang, Tian-Tian Nonlocal symmetry and consistent Riccati expansion integrability of the \((1+1)\)-dimensional integrable nonlinear dispersive-wave system. (English) Zbl 07659359 Waves Random Complex Media 27, No. 3, 571-586 (2017). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{L.-L. Feng} et al., Waves Random Complex Media 27, No. 3, 571--586 (2017; Zbl 07659359) Full Text: DOI
Hu, Wen-Qiang; Gao, Yi-Tian; Zhao, Chen; Jia, Shu-Liang; Lan, Zhong-Zhou Breathers, quasi-periodic and travelling waves for a generalized \(3+1\)-dimensional Yu-Toda-Sasa-Fukayama equation in fluids. (English) Zbl 07659352 Waves Random Complex Media 27, No. 3, 458-481 (2017). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{W.-Q. Hu} et al., Waves Random Complex Media 27, No. 3, 458--481 (2017; Zbl 07659352) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu; Qin, Chun-Yan; Zhang, Tian-Tian Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation. (English) Zbl 1420.35298 J. Nonlinear Math. Phys. 24, No. 4, 516-530 (2017). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDFBibTeX XMLCite \textit{X.-B. Wang} et al., J. Nonlinear Math. Phys. 24, No. 4, 516--530 (2017; Zbl 1420.35298) Full Text: DOI
Su, Ting; Dai, Hui-Hui Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation. (English) Zbl 1426.35207 Math. Probl. Eng. 2017, Article ID 2924947, 9 p. (2017). MSC: 35Q53 35B10 35C05 35Q51 PDFBibTeX XMLCite \textit{T. Su} and \textit{H.-H. Dai}, Math. Probl. Eng. 2017, Article ID 2924947, 9 p. (2017; Zbl 1426.35207) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu; Yan, Hui; Zhang, Tian Tian On the solitary waves, breather waves and rogue waves to a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1387.35538 Comput. Math. Appl. 74, No. 3, 556-563 (2017). MSC: 35Q53 35C08 11B73 76B25 PDFBibTeX XMLCite \textit{X.-B. Wang} et al., Comput. Math. Appl. 74, No. 3, 556--563 (2017; Zbl 1387.35538) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu; Feng, Lian-Li; Yan, Hui; Zhang, Tian-Tian Quasiperiodic waves, solitary waves and asymptotic properties for a generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation. (English) Zbl 1380.37129 Nonlinear Dyn. 88, No. 3, 2265-2279 (2017). MSC: 37K10 35C08 35C07 PDFBibTeX XMLCite \textit{X.-B. Wang} et al., Nonlinear Dyn. 88, No. 3, 2265--2279 (2017; Zbl 1380.37129) Full Text: DOI
Huang, Qian-Min; Gao, Yi-Tian Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation. (English) Zbl 1377.35056 Nonlinear Dyn. 89, No. 4, 2855-2866 (2017). MSC: 35C08 35C09 PDFBibTeX XMLCite \textit{Q.-M. Huang} and \textit{Y.-T. Gao}, Nonlinear Dyn. 89, No. 4, 2855--2866 (2017; Zbl 1377.35056) Full Text: DOI
Huang, Qian-Min; Gao, Yi-Tian; Jia, Shu-Liang; Wang, Ya-Le; Deng, Gao-Fu Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation. (English) Zbl 1373.37163 Nonlinear Dyn. 87, No. 4, 2529-2540 (2017). MSC: 37K35 37K10 35C08 PDFBibTeX XMLCite \textit{Q.-M. Huang} et al., Nonlinear Dyn. 87, No. 4, 2529--2540 (2017; Zbl 1373.37163) Full Text: DOI
Qin, Chun-Yan; Tian, Shou-Fu; Wang, Xiu-Bin; Zhang, Tian-Tian Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation. (English) Zbl 1366.35224 Waves Random Complex Media 27, No. 2, 308-324 (2017). MSC: 35R11 76M60 35B06 26A33 34A08 PDFBibTeX XMLCite \textit{C.-Y. Qin} et al., Waves Random Complex Media 27, No. 2, 308--324 (2017; Zbl 1366.35224) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu; Xua, Mei-Juan; Zhang, Tian-Tian On integrability and quasi-periodic wave solutions to a \((3+1)\)-dimensional generalized KdV-like model equation. (English) Zbl 1410.35158 Appl. Math. Comput. 283, 216-233 (2016). MSC: 35Q51 35B15 35Q53 37K10 PDFBibTeX XMLCite \textit{X.-B. Wang} et al., Appl. Math. Comput. 283, 216--233 (2016; Zbl 1410.35158) Full Text: DOI
Tu, Jian-Min; Tian, Shou-Fu; Xu, Mei-Juan; Ma, Pan-Li; Zhang, Tian-Tian On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics. (English) Zbl 1372.35249 Comput. Math. Appl. 72, No. 9, 2486-2504 (2016). MSC: 35Q35 35Q53 35B10 35C08 76B25 35B40 PDFBibTeX XMLCite \textit{J.-M. Tu} et al., Comput. Math. Appl. 72, No. 9, 2486--2504 (2016; Zbl 1372.35249) Full Text: DOI
Yan, Hui; Tian, Shou-Fu; Feng, Lian-Li; Zhang, Tian-Tian Quasi-periodic wave solutions, soliton solutions, and integrability to a \((2+1)\)-dimensional generalized Bogoyavlensky-Konopelchenko equation. (English) Zbl 1365.37055 Waves Random Complex Media 26, No. 4, 444-457 (2016). MSC: 37K35 37K10 35G20 35Q40 35C08 35Q51 35B15 PDFBibTeX XMLCite \textit{H. Yan} et al., Waves Random Complex Media 26, No. 4, 444--457 (2016; Zbl 1365.37055) Full Text: DOI
Tu, Jian-Min; Tian, Shou-Fu; Xu, Mei-Juan; Song, Xiao-Qiu; Zhang, Tian-Tian Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles. (English) Zbl 1351.37249 Nonlinear Dyn. 83, No. 3, 1199-1215 (2016). MSC: 37K10 76T10 35Q53 PDFBibTeX XMLCite \textit{J.-M. Tu} et al., Nonlinear Dyn. 83, No. 3, 1199--1215 (2016; Zbl 1351.37249) Full Text: DOI
Wang, Yunhu; Chen, Yong Bell polynomials approach for two higher-order KdV-type equations in fluids. (English) Zbl 1342.35313 Nonlinear Anal., Real World Appl. 31, 533-551 (2016). MSC: 35Q53 37K35 35C08 14K25 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Chen}, Nonlinear Anal., Real World Appl. 31, 533--551 (2016; Zbl 1342.35313) Full Text: DOI
Xu, Mei-Juan; Tian, Shou-Fu; Tu, Jian-Min; Zhang, Tian-Tian Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation. (English) Zbl 1344.37077 Nonlinear Anal., Real World Appl. 31, 388-408 (2016). MSC: 37K10 37K05 37K20 35B10 35C08 PDFBibTeX XMLCite \textit{M.-J. Xu} et al., Nonlinear Anal., Real World Appl. 31, 388--408 (2016; Zbl 1344.37077) Full Text: DOI
Xu, Mei-Juan; Tian, Shou-Fu; Tu, Jian-Min; Ma, Pan-Li; Zhang, Tian-Tian On quasiperiodic wave solutions and integrability to a generalized \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 1348.37109 Nonlinear Dyn. 82, No. 4, 2031-2049 (2015). MSC: 37K10 35Q53 82D10 35C08 PDFBibTeX XMLCite \textit{M.-J. Xu} et al., Nonlinear Dyn. 82, No. 4, 2031--2049 (2015; Zbl 1348.37109) Full Text: DOI
Chen, Yiren; Song, Ming; Liu, Zhengrong Soliton and Riemann theta function quasi-periodic wave solutions for a \((2+1)\)-dimensional generalized shallow water wave equation. (English) Zbl 1348.76038 Nonlinear Dyn. 82, No. 1-2, 333-347 (2015). MSC: 76B25 35C07 34C25 PDFBibTeX XMLCite \textit{Y. Chen} et al., Nonlinear Dyn. 82, No. 1--2, 333--347 (2015; Zbl 1348.76038) Full Text: DOI
Zhao, Zhonglong; Zhang, Yufeng Periodic wave solutions and asymptotic analysis of the Hirota-Satsuma shallow water wave equation. (English) Zbl 1342.37072 Math. Methods Appl. Sci. 38, No. 17, 4262-4271 (2015). MSC: 37K40 35Q35 35C07 35B10 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{Y. Zhang}, Math. Methods Appl. Sci. 38, No. 17, 4262--4271 (2015; Zbl 1342.37072) Full Text: DOI
Tian, Shoufu; Zhang, Yufeng; Feng, Binlu; Zhang, Hongqing On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water. (English) Zbl 1321.35190 Chin. Ann. Math., Ser. B 36, No. 4, 543-560 (2015). MSC: 35Q51 35Q53 35C99 68W30 74J35 37K35 35Q35 PDFBibTeX XMLCite \textit{S. Tian} et al., Chin. Ann. Math., Ser. B 36, No. 4, 543--560 (2015; Zbl 1321.35190) Full Text: DOI
Zhao, Zhonglong; Zhang, Yufeng; Xia, Tiecheng Double periodic wave solutions of the \((2 + 1)\)-dimensional Sawada-Kotera equation. (English) Zbl 1474.35581 Abstr. Appl. Anal. 2014, Article ID 534017, 6 p. (2014). MSC: 35Q53 35C08 35C09 35Q51 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Abstr. Appl. Anal. 2014, Article ID 534017, 6 p. (2014; Zbl 1474.35581) Full Text: DOI
Tian, Shou-Fu; Zhang, Hong-Qing On the integrability of a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. (English) Zbl 1288.35403 Stud. Appl. Math. 132, No. 3, 212-246 (2014). MSC: 35Q35 37K10 37K35 35C08 35B10 14H42 PDFBibTeX XMLCite \textit{S.-F. Tian} and \textit{H.-Q. Zhang}, Stud. Appl. Math. 132, No. 3, 212--246 (2014; Zbl 1288.35403) Full Text: DOI
Tian, Shou-Fu; Lu, Bin; Feng, Yang; Zhang, Hong-Qing; Yang, Chao Hyperelliptic function solutions with finite genus \(\mathcal{G}\) of coupled nonlinear differential equations. (English) Zbl 1420.35296 J. Nonlinear Math. Phys. 20, No. 2, 245-259 (2013). MSC: 35Q51 35Q53 35C99 74J35 PDFBibTeX XMLCite \textit{S.-F. Tian} et al., J. Nonlinear Math. Phys. 20, No. 2, 245--259 (2013; Zbl 1420.35296) Full Text: DOI
Tian, Shou-Fu; Zhang, Hong-Qing Super Riemann theta function periodic wave solutions and rational characteristics for a supersymmetric KdV-Burgers equation. (English. Russian original) Zbl 1274.35294 Theor. Math. Phys. 170, No. 3, 287-314 (2012); translation from Teor. Mat. Fiz. 170, No. 3, 350-380 (2012). MSC: 35Q35 35Q53 14K25 35C07 35A30 PDFBibTeX XMLCite \textit{S.-F. Tian} and \textit{H.-Q. Zhang}, Theor. Math. Phys. 170, No. 3, 287--314 (2012; Zbl 1274.35294); translation from Teor. Mat. Fiz. 170, No. 3, 350--380 (2012) Full Text: DOI
Kudryashov, Nikolai A.; Soukharev, Mikhail B.; Demina, Maria V. Elliptic traveling waves of the Olver equation. (English) Zbl 1248.35162 Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4104-4114 (2012). MSC: 35Q35 35C07 76B15 34M05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4104--4114 (2012; Zbl 1248.35162) Full Text: DOI