Ali, Ahmad T.; Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, Abdel-Haleem; Lu, Dianchen Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system. (English) Zbl 1495.35156 Chaos Solitons Fractals 131, Article ID 109473, 10 p. (2020). MSC: 35Q53 35C08 65M22 PDF BibTeX XML Cite \textit{A. T. Ali} et al., Chaos Solitons Fractals 131, Article ID 109473, 10 p. (2020; Zbl 1495.35156) Full Text: DOI OpenURL
Khater, Mostafa M. A.; Zahran, Emad H. M.; Shehata, Maha S. M. Solitary wave solution of the generalized Hirota-Satsuma coupled KdV system. (English) Zbl 1358.35157 J. Egypt. Math. Soc. 25, No. 1, 8-12 (2017). MSC: 35Q53 35K99 35P05 35C07 35C08 PDF BibTeX XML Cite \textit{M. M. A. Khater} et al., J. Egypt. Math. Soc. 25, No. 1, 8--12 (2017; Zbl 1358.35157) Full Text: DOI OpenURL
Xue, Lingling; Liu, Q. P.; Wang, Dengshan A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions. (English) Zbl 1348.35225 J. Math. Phys. 57, No. 8, 083506, 13 p. (2016). Reviewer: Nakazono Nobutaka (Sydney) MSC: 35Q53 35C05 35C08 PDF BibTeX XML Cite \textit{L. Xue} et al., J. Math. Phys. 57, No. 8, 083506, 13 p. (2016; Zbl 1348.35225) Full Text: DOI OpenURL
Merdan, Mehmet On the solutions of time-fractional generalized Hirota-Satsuma coupled-KDV equation with modified Riemann-Liouville derivative by an analytical technique. (English) Zbl 1399.35355 Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 16, No. 1, 3-10 (2015). MSC: 35R11 35Q53 PDF BibTeX XML Cite \textit{M. Merdan}, Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 16, No. 1, 3--10 (2015; Zbl 1399.35355) OpenURL
Liu, Jincun; Li, Hong Approximate analytic solutions of time-fractional Hirota-Satsuma coupled KdV equation and coupled MKdV equation. (English) Zbl 1275.65069 Abstr. Appl. Anal. 2013, Article ID 561980, 11 p. (2013). MSC: 65M99 35Q53 35R11 35C10 PDF BibTeX XML Cite \textit{J. Liu} and \textit{H. Li}, Abstr. Appl. Anal. 2013, Article ID 561980, 11 p. (2013; Zbl 1275.65069) Full Text: DOI OpenURL
Guo, Shimin; Mei, Liquan; Li, Ying; Sun, Youfa The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics. (English) Zbl 1255.37022 Phys. Lett., A 376, No. 4, 407-411 (2012). MSC: 37L05 35Q35 35Q53 35R11 PDF BibTeX XML Cite \textit{S. Guo} et al., Phys. Lett., A 376, No. 4, 407--411 (2012; Zbl 1255.37022) Full Text: DOI OpenURL
Abazari, Reza; Abazari, Malek Numerical simulation of generalized Hirota-Satsuma coupled KdV equation by RDTM and comparison with DTM. (English) Zbl 1244.65153 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 619-629 (2012). MSC: 65M99 35Q53 PDF BibTeX XML Cite \textit{R. Abazari} and \textit{M. Abazari}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 619--629 (2012; Zbl 1244.65153) Full Text: DOI OpenURL
Abazari, Reza Comment on “A new method for a generalized Hirota-Satsuma coupled KdV equation” by Manlin Xie and Xuanhao Ding. (English) Zbl 1368.65208 Appl. Math. Comput. 218, No. 9, 5838-5839 (2012). MSC: 65M99 35Q53 35C07 PDF BibTeX XML Cite \textit{R. Abazari}, Appl. Math. Comput. 218, No. 9, 5838--5839 (2012; Zbl 1368.65208) Full Text: DOI OpenURL
Feng, Dahe; Li, Kezan Exact traveling wave solutions for a generalized Hirota-Satsuma coupled KdV equation by Fan sub-equation method. (English) Zbl 1241.35178 Phys. Lett., A 375, No. 23, 2201-2210 (2011). MSC: 35Q53 35C07 35C08 PDF BibTeX XML Cite \textit{D. Feng} and \textit{K. Li}, Phys. Lett., A 375, No. 23, 2201--2210 (2011; Zbl 1241.35178) Full Text: DOI OpenURL
Xie, Manlin; Ding, Xuanhao A new method for a generalized Hirota-Satsuma coupled KdV equation. (English) Zbl 1215.65163 Appl. Math. Comput. 217, No. 17, 7117-7125 (2011). MSC: 65M70 PDF BibTeX XML Cite \textit{M. Xie} and \textit{X. Ding}, Appl. Math. Comput. 217, No. 17, 7117--7125 (2011; Zbl 1215.65163) Full Text: DOI OpenURL
Shukri, Sami; Al-Khaled, Kamel The extended tanh method for solving systems of nonlinear wave equations. (English) Zbl 1202.65131 Appl. Math. Comput. 217, No. 5, 1997-2006 (2010). MSC: 65M70 35Q53 68W30 PDF BibTeX XML Cite \textit{S. Shukri} and \textit{K. Al-Khaled}, Appl. Math. Comput. 217, No. 5, 1997--2006 (2010; Zbl 1202.65131) Full Text: DOI OpenURL
Xie, Manlin; Ding, Xuanhao; Cai, Ruhua On the solution of convergence of the generalized Hirota-Satsuma coupled KdV equation with the ADM method. (Chinese. English summary) Zbl 1224.35378 J. Yunnan Nation. Univ., Nat. Sci. 18, No. 1, 5-9 (2009). MSC: 35Q53 65M12 PDF BibTeX XML Cite \textit{M. Xie} et al., J. Yunnan Nation. Univ., Nat. Sci. 18, No. 1, 5--9 (2009; Zbl 1224.35378) OpenURL
Abbasbandy, S. The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation. (English) Zbl 1273.65156 Phys. Lett., A 361, No. 6, 478-483 (2007). MSC: 65M99 65N99 35Q53 PDF BibTeX XML Cite \textit{S. Abbasbandy}, Phys. Lett., A 361, No. 6, 478--483 (2007; Zbl 1273.65156) Full Text: DOI OpenURL
Chen, Bin; Xie, Yingchao White noise functional solutions of Wick-type stochastic generalized Hirota-Satsuma coupled KdV equations. (English) Zbl 1101.60041 J. Comput. Appl. Math. 197, No. 2, 345-354 (2006). MSC: 60H15 60H40 PDF BibTeX XML Cite \textit{B. Chen} and \textit{Y. Xie}, J. Comput. Appl. Math. 197, No. 2, 345--354 (2006; Zbl 1101.60041) Full Text: DOI OpenURL
Sakovich, S. Yu. Transformation of a generalized Harry Dym equation into the Hirota-Satsuma system. (English) Zbl 1118.81435 Phys. Lett., A 321, No. 4, 252-254 (2004). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{S. Yu. Sakovich}, Phys. Lett., A 321, No. 4, 252--254 (2004; Zbl 1118.81435) Full Text: DOI arXiv OpenURL
Kaya, Doǧan Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation. (English) Zbl 1037.35069 Appl. Math. Comput. 147, No. 1, 69-78 (2004). MSC: 35Q53 37K40 35C10 35Q51 PDF BibTeX XML Cite \textit{D. Kaya}, Appl. Math. Comput. 147, No. 1, 69--78 (2004; Zbl 1037.35069) Full Text: DOI OpenURL