Ma, Yu-Lan; Wazwaz, Abdul-Majid; Li, Bang-Qing Phase transition from soliton to breather, soliton-breather molecules, breather molecules of the Caudrey-Dodd-Gibbon equation. (English) Zbl 07763984 Phys. Lett., A 488, Article ID 129132, 5 p. (2023). MSC: 81V55 82B26 35C08 35A18 81P40 PDFBibTeX XMLCite \textit{Y.-L. Ma} et al., Phys. Lett., A 488, Article ID 129132, 5 p. (2023; Zbl 07763984) Full Text: DOI
Manjeet; Gupta, Rajesh Kumar Symmetry reduction, conservation laws and power series solution of time-fractional variable coefficient Caudrey-Dodd-Gibbon-Sawada-Kotera equation. (English) Zbl 1517.35245 Math. Sci., Springer 17, No. 1, 81-91 (2023). MSC: 35R11 35B06 35C10 PDFBibTeX XMLCite \textit{Manjeet} and \textit{R. K. Gupta}, Math. Sci., Springer 17, No. 1, 81--91 (2023; Zbl 1517.35245) Full Text: DOI
Ismael, Hajar F.; Seadawy, Aly; Bulut, Hasan Construction of breather solutions and \(N\)-soliton for the higher order dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera equation arising from wave patterns. (English) Zbl 07677985 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 319-327 (2023). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{H. F. Ismael} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 319--327 (2023; Zbl 07677985) Full Text: DOI
Wang, Zhong Spectral stability of multi-solitons for generalized Hamiltonian system. I: The Caudrey-Dodd-Gibbon-Sawada-Kotera equation. (English) Zbl 1506.35011 Physica D 444, Article ID 133610, 18 p. (2023). MSC: 35B35 35C08 35Q53 PDFBibTeX XMLCite \textit{Z. Wang}, Physica D 444, Article ID 133610, 18 p. (2023; Zbl 1506.35011) Full Text: DOI
Baskonus, Haci Mehmet; Mahmud, Adnan Ahmad; Muhamad, Kalsum Abdulrahman; Tanriverdi, Tanfer A study on Caudrey-Dodd-Gibbon-Sawada-Kotera partial differential equation. (English) Zbl 1527.34035 Math. Methods Appl. Sci. 45, No. 14, 8737-8753 (2022). MSC: 34A34 34B30 PDFBibTeX XMLCite \textit{H. M. Baskonus} et al., Math. Methods Appl. Sci. 45, No. 14, 8737--8753 (2022; Zbl 1527.34035) Full Text: DOI
Ciancio, Armando; Yel, Gulnur; Kumar, Ajay; Baskonus, Haci Mehmet; Ilhan, Esin On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models. (English) Zbl 1507.35233 Fractals 30, No. 1, Article ID 2240018, 14 p. (2022). MSC: 35Q53 35Q51 35C08 35C09 35C20 35A24 37K10 PDFBibTeX XMLCite \textit{A. Ciancio} et al., Fractals 30, No. 1, Article ID 2240018, 14 p. (2022; Zbl 1507.35233) Full Text: DOI
Jebreen, Haifa Bin; Chalco-Cano, Yurilev Application of the multiple exp-function, cross-kink, periodic-kink, solitary wave methods, and stability analysis for the CDG equation. (English) Zbl 1478.35081 Adv. Math. Phys. 2021, Article ID 6643512, 12 p. (2021). MSC: 35C08 35A22 PDFBibTeX XMLCite \textit{H. B. Jebreen} and \textit{Y. Chalco-Cano}, Adv. Math. Phys. 2021, Article ID 6643512, 12 p. (2021; Zbl 1478.35081) Full Text: DOI
Ma, Hongcai; Wang, Yuxin; Deng, Aiping Soliton molecules and some novel mixed solutions for the extended Caudrey-Dodd-Gibbon equation. (English) Zbl 1479.35724 J. Geom. Phys. 168, Article ID 104309, 8 p. (2021). MSC: 35Q51 PDFBibTeX XMLCite \textit{H. Ma} et al., J. Geom. Phys. 168, Article ID 104309, 8 p. (2021; Zbl 1479.35724) Full Text: DOI
Alam, Md. Khorshed; Hossain, Md. Dulal; Akbar, M. Ali; Gepreel, Khaled A. Determination of the rich structural wave dynamic solutions to the Caudrey-Dodd-Gibbon equation and the Lax equation. (English) Zbl 1471.35083 Lett. Math. Phys. 111, No. 4, Paper No. 103, 19 p. (2021). MSC: 35C08 35Q53 35R35 47J35 PDFBibTeX XMLCite \textit{Md. K. Alam} et al., Lett. Math. Phys. 111, No. 4, Paper No. 103, 19 p. (2021; Zbl 1471.35083) Full Text: DOI
Ahmad, Hijaz; Khan, Tufail A.; Yao, Shao-Wen An efficient approach for the numerical solution of fifth-order KdV equations. (English) Zbl 1475.65155 Open Math. 18, 738-748 (2020). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{H. Ahmad} et al., Open Math. 18, 738--748 (2020; Zbl 1475.65155) Full Text: DOI
Saleem, Sidra; Hussain, Malik Zawwar Numerical solution of nonlinear fifth-order KdV-type partial differential equations via Haar wavelet. (English) Zbl 1472.65132 Int. J. Appl. Comput. Math. 6, No. 6, Paper No. 164, 16 p. (2020). MSC: 65M70 65M15 65T60 33E12 35Q53 PDFBibTeX XMLCite \textit{S. Saleem} and \textit{M. Z. Hussain}, Int. J. Appl. Comput. Math. 6, No. 6, Paper No. 164, 16 p. (2020; Zbl 1472.65132) Full Text: DOI
Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui; Jia, Ting-Ting Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. (English) Zbl 1459.35076 Nonlinear Dyn. 99, No. 2, 1039-1052 (2020). MSC: 35C08 37K40 76B25 PDFBibTeX XMLCite \textit{G.-F. Deng} et al., Nonlinear Dyn. 99, No. 2, 1039--1052 (2020; Zbl 1459.35076) Full Text: DOI
Bibi, Sadaf; Ahmed, Naveed; Faisal, Imran; Mohyud-Din, Syed Tauseef; Rafiq, Muhammad; Khan, Umar Some new solutions of the Caudrey-Dodd-Gibbon (CDG) equation using the conformable derivative. (English) Zbl 1458.35366 Adv. Difference Equ. 2019, Paper No. 89, 27 p. (2019). MSC: 35Q53 35Q51 35C08 PDFBibTeX XMLCite \textit{S. Bibi} et al., Adv. Difference Equ. 2019, Paper No. 89, 27 p. (2019; Zbl 1458.35366) 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
Qin, Lichun New double-periodic soliton solutions of Caudrey-Dodd-Gibbon-Kaeada equation. (Chinese. English summary) Zbl 1413.35122 J. Nanchang Univ., Nat. Sci. 41, No. 6, 524-526, 530 (2017). MSC: 35C08 35Q51 47J35 PDFBibTeX XMLCite \textit{L. Qin}, J. Nanchang Univ., Nat. Sci. 41, No. 6, 524--526, 530 (2017; Zbl 1413.35122) Full Text: DOI
Sharma, Ankita; Arora, Rajan Solutions of Fisher-type, cubic-Boussinesq and 7th-order Caudrey-Dodd-Gibbon equations by MVIM. (English) Zbl 1397.65221 Int. J. Appl. Comput. Math. 3, No. 4, 3857-3875 (2017). MSC: 65M99 35Q53 35Q35 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{R. Arora}, Int. J. Appl. Comput. Math. 3, No. 4, 3857--3875 (2017; Zbl 1397.65221) Full Text: DOI
Tang, Yaning; Tao, Siqiao; Guan, Qing Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations. (English) Zbl 1372.35268 Comput. Math. Appl. 72, No. 9, 2334-2342 (2016). MSC: 35Q51 35C08 35G20 35Q53 PDFBibTeX XMLCite \textit{Y. Tang} et al., Comput. Math. Appl. 72, No. 9, 2334--2342 (2016; Zbl 1372.35268) Full Text: DOI
Tu, Jian-Min; Tian, Shou-Fu; Xu, Mei-Juan; Zhang, Tian-Tian Quasi-periodic waves and solitary waves to a generalized KdV-Caudrey-Dodd-Gibbon equation from fluid dynamics. (English) Zbl 1357.35256 Taiwanese J. Math. 20, No. 4, 823-848 (2016). MSC: 35Q53 35C08 35Q35 37N10 PDFBibTeX XMLCite \textit{J.-M. Tu} et al., Taiwanese J. Math. 20, No. 4, 823--848 (2016; Zbl 1357.35256) Full Text: DOI
Cheng, Xue-Ping; Wang, Jian-Yong; Ren, Bo; Yang, Yun-Qing Interaction behaviours between solitons and cnoidal periodic waves for \((2+1)\)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation. (English) Zbl 1345.35015 Commun. Theor. Phys. 66, No. 2, 163-170 (2016). MSC: 35C08 35Q53 PDFBibTeX XMLCite \textit{X.-P. Cheng} et al., Commun. Theor. Phys. 66, No. 2, 163--170 (2016; Zbl 1345.35015) Full Text: DOI
Neamaty, A.; Agheli, B.; Darzi, R. Exact travelling wave solutions for some nonlinear time fractional fifth-order Caudrey-Dodd-Gibbon equation by \((G'/G)\)-expansion method. (English) Zbl 1386.35450 S\(\vec{\text{e}}\)MA J. 73, No. 2, 121-129 (2016). MSC: 35R11 35C08 PDFBibTeX XMLCite \textit{A. Neamaty} et al., S\(\vec{\text{e}}\)MA J. 73, No. 2, 121--129 (2016; Zbl 1386.35450) Full Text: DOI
Rawashdeh, Mahmoud S.; Alsmadi, Ghada M. A new approach to find exact and approximate solutions to PDEs in different dimensions. (English) Zbl 1339.35099 Nonlinear Stud. 23, No. 1, 149-156 (2016). MSC: 35J05 35J10 35K05 35L05 PDFBibTeX XMLCite \textit{M. S. Rawashdeh} and \textit{G. M. Alsmadi}, Nonlinear Stud. 23, No. 1, 149--156 (2016; Zbl 1339.35099) Full Text: Link
Chen, Hanlin; Xu, Zhenhui; Dai, Zhengde Breather soliton and cross two-soliton solutions for the fifth order Caudrey-Dodd-Gibbon (CDG) equation. (English) Zbl 1356.35198 Int. J. Numer. Methods Heat Fluid Flow 25, No. 3, 651-655 (2015). MSC: 35Q53 35C08 35Q51 PDFBibTeX XMLCite \textit{H. Chen} et al., Int. J. Numer. Methods Heat Fluid Flow 25, No. 3, 651--655 (2015; Zbl 1356.35198) Full Text: DOI
Kang, Xiaorong; Xian, Daquan Non-traveling wave breather and periodic solutions for Caudrey-Dodd-Gibbon-Kotera-Sawada equation. (Chinese. English summary) Zbl 1340.35301 J. Sichuan Univ., Nat. Sci. Ed. 52, No. 2, 228-232 (2015). MSC: 35Q53 35B10 35B06 37K35 PDFBibTeX XMLCite \textit{X. Kang} and \textit{D. Xian}, J. Sichuan Univ., Nat. Sci. Ed. 52, No. 2, 228--232 (2015; Zbl 1340.35301) Full Text: DOI
Wang, Xin; Chen, Yong Darboux transformations and \(N\)-soliton solutions of two \((2+1)\)-dimensional nonlinear equations. (English) Zbl 1288.35426 Commun. Theor. Phys. 61, No. 4, 423-430 (2014). MSC: 35Q53 35C08 35A22 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y. Chen}, Commun. Theor. Phys. 61, No. 4, 423--430 (2014; Zbl 1288.35426) Full Text: DOI
Mei, Jianqin; Zhang, Jingjing; Zhang, Hongqing Direct algorithms for constructing high-order conservation laws of nonlinear partial differential equations. (English) Zbl 1249.35215 J. Dalian Univ. Technol. 51, No. 2, 304-308 (2011). MSC: 35L65 PDFBibTeX XMLCite \textit{J. Mei} et al., J. Dalian Univ. Technol. 51, No. 2, 304--308 (2011; Zbl 1249.35215)
Lü, Na; Mei, Jian-Qin; Zhang, Hong-Qing Symmetry reductions and group-invariant solutions of (2 + 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation. (English) Zbl 1218.35188 Commun. Theor. Phys. 53, No. 4, 591-595 (2010). MSC: 35Q51 PDFBibTeX XMLCite \textit{N. Lü} et al., Commun. Theor. Phys. 53, No. 4, 591--595 (2010; Zbl 1218.35188) Full Text: DOI
Shi, Yeqiong; Dai, Zhengde; Han, Song; Huang, Liwei The multi-wave method for nonlinear evolution equations. (English) Zbl 1218.35068 Math. Comput. Appl. 15, No. 5, 776-783 (2010). MSC: 35C08 35B10 35G25 PDFBibTeX XMLCite \textit{Y. Shi} et al., Math. Comput. Appl. 15, No. 5, 776--783 (2010; Zbl 1218.35068) Full Text: DOI
Tian, Shou-Fu; Zhang, Hong-Qing Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations. (English) Zbl 1201.35072 J. Math. Anal. Appl. 371, No. 2, 585-608 (2010). MSC: 35C07 35B40 35B10 35C08 PDFBibTeX XMLCite \textit{S.-F. Tian} and \textit{H.-Q. Zhang}, J. Math. Anal. Appl. 371, No. 2, 585--608 (2010; Zbl 1201.35072) Full Text: DOI
Yuan, Juan-Ming; Wu, Jiahong A dual-Petrov-Galerkin method for two integrable fifth-order KdV type equations. (English) Zbl 1184.35287 Discrete Contin. Dyn. Syst. 26, No. 4, 1525-1536 (2010). MSC: 35Q53 35Q51 65M60 35C08 PDFBibTeX XMLCite \textit{J.-M. Yuan} and \textit{J. Wu}, Discrete Contin. Dyn. Syst. 26, No. 4, 1525--1536 (2010; Zbl 1184.35287) Full Text: DOI
Salas, Alvaro; Gómez, Cesar A.; Lugo, José Gonzalo Escobar Exact solutions for the general fifth order KdV equation by the extended tanh method. (English) Zbl 1179.65132 J. Math. Sci. Adv. Appl. 1, No. 2, 305-310 (2008). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{A. Salas} et al., J. Math. Sci. Adv. Appl. 1, No. 2, 305--310 (2008; Zbl 1179.65132) Full Text: arXiv
Xu, Yu-Guang; Zhou, Xin-Wei; Yao, Li Solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation using the exp-function method. (English) Zbl 1157.65462 Appl. Math. Comput. 206, No. 1, 70-73 (2008). MSC: 65M70 35Q51 PDFBibTeX XMLCite \textit{Y.-G. Xu} et al., Appl. Math. Comput. 206, No. 1, 70--73 (2008; Zbl 1157.65462) Full Text: DOI
Salas, Alvaro H. Exact solutions for the general fifth KdV equation by the exp function method. (English) Zbl 1160.35525 Appl. Math. Comput. 205, No. 1, 291-297 (2008). MSC: 35Q53 35Q51 35C05 35-04 PDFBibTeX XMLCite \textit{A. H. Salas}, Appl. Math. Comput. 205, No. 1, 291--297 (2008; Zbl 1160.35525) Full Text: DOI
Wazwaz, Abdul-Majid Multiple-soliton solutions for the fifth order Caudrey-Dodd-Gibbon (CDG) equation. (English) Zbl 1136.65096 Appl. Math. Comput. 197, No. 2, 719-724 (2008). MSC: 65M70 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 197, No. 2, 719--724 (2008; Zbl 1136.65096) Full Text: DOI
Wazwaz, Abdul-Majid Analytic study of the fifth order integrable nonlinear evolution equations by using the tanh method. (English) Zbl 1134.35394 Appl. Math. Comput. 174, No. 1, 289-299 (2006). MSC: 35Q53 35A25 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 174, No. 1, 289--299 (2006; Zbl 1134.35394) Full Text: DOI
Zhu, Zuonong; Huang, Hongci; Xue, Weimin Lax representations and integrable time discretizations of the DDKdV, DDmKdV, and DDHOKdV. (English) Zbl 0985.37070 Phys. Lett., A 252, No. 3-4, 180-190 (1999). MSC: 37K10 35Q53 37K35 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Phys. Lett., A 252, No. 3--4, 180--190 (1999; Zbl 0985.37070) Full Text: DOI
Gupta, Neelam Symmetry reductions of partial differential equations related to singular manifold expansions. (English) Zbl 0870.35090 J. Phys. A, Math. Gen. 28, No. 18, 5361-5374 (1995). MSC: 35Q53 58J70 35C05 PDFBibTeX XMLCite \textit{N. Gupta}, J. Phys. A, Math. Gen. 28, No. 18, 5361--5374 (1995; Zbl 0870.35090) Full Text: DOI
Hu, Xingbiao; Li, Yong Some results on the Caudrey-Dodd-Gibbon-Kotera-Sawada equation. (English) Zbl 0734.35121 J. Phys. A, Math. Gen. 24, No. 14, 3205-3212 (1991). MSC: 35Q53 58J72 PDFBibTeX XMLCite \textit{X. Hu} and \textit{Y. Li}, J. Phys. A, Math. Gen. 24, No. 14, 3205--3212 (1991; Zbl 0734.35121) Full Text: DOI
Aiyer, Raju N.; Fuchssteiner, Benno; Oevel, Walter Solitons and discrete eigenfunctions of the recursion operator of nonlinear evolution equations. I: The Caudrey-Dodd-Gibbon-Sawada-Kotera equation. (English) Zbl 0622.35067 J. Phys. A 19, 3755-3770 (1986). MSC: 35Q99 35G20 35A05 35A30 PDFBibTeX XMLCite \textit{R. N. Aiyer} et al., J. Phys. A, Math. Gen. 19, 3755--3770 (1986; Zbl 0622.35067) Full Text: DOI
Weiss, John On classes of integrable systems and the Painlevé property. (English) Zbl 0565.35094 J. Math. Phys. 25, 13-24 (1984). MSC: 35Q58 35A30 35G20 37K10 37K35 PDFBibTeX XMLCite \textit{J. Weiss}, J. Math. Phys. 25, 13--24 (1984; Zbl 0565.35094) Full Text: DOI
Fuchssteiner, Benno; Oevel, Walter The bi-Hamiltonian structure of some nonlinear fifth-and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants. (English) Zbl 0489.35029 J. Math. Phys. 23, 358-363 (1982). MSC: 35G20 35Q99 35B40 22E60 PDFBibTeX XMLCite \textit{B. Fuchssteiner} and \textit{W. Oevel}, J. Math. Phys. 23, 358--363 (1982; Zbl 0489.35029) Full Text: DOI