Zemlyanukhin, Aleksandr I.; Bochkarev, Andrey V.; Ratushny, Aleksandr V. Exact solutions to the four-component Merola-Ragnisco-Tu lattice equations. (English) Zbl 07643790 Altenbach, Holm (ed.) et al., Nonlinear mechanics of complex structures. From theory to engineering applications. Cham: Springer. Adv. Struct. Mater. 157, 457-469 (2021). MSC: 70F45 70-08 PDFBibTeX XMLCite \textit{A. I. Zemlyanukhin} et al., Adv. Struct. Mater. 157, 457--469 (2021; Zbl 07643790) Full Text: DOI
Aslan, İsmail Traveling waves of DDEs with rational nonlinearity. (English) Zbl 1401.35307 Int. J. Nonlinear Sci. Numer. Simul. 17, No. 5, 243-248 (2016). MSC: 35R10 35C07 35C08 34A33 PDFBibTeX XMLCite \textit{İ. Aslan}, Int. J. Nonlinear Sci. Numer. Simul. 17, No. 5, 243--248 (2016; Zbl 1401.35307) Full Text: DOI Link
Meng, Fanwei A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations. (English) Zbl 1275.65035 Abstr. Appl. Anal. 2013, Article ID 810363, 6 p. (2013). MSC: 65L03 34K28 34K31 PDFBibTeX XMLCite \textit{F. Meng}, Abstr. Appl. Anal. 2013, Article ID 810363, 6 p. (2013; Zbl 1275.65035) Full Text: DOI
Dimitrova, Zlatinka On traveling waves in lattices: the case of Riccati lattices. (English) Zbl 1330.35062 J. Theor. Appl. Mech., Sofia 42, No. 3, 3-22 (2012). MSC: 35C07 35G20 PDFBibTeX XMLCite \textit{Z. Dimitrova}, J. Theor. Appl. Mech., Sofia 42, No. 3, 3--22 (2012; Zbl 1330.35062) Full Text: arXiv
Aslan, İsmail Some exact solutions for Toda type lattice differential equations using the improved (G\(^{\prime}\)/G)-expansion method. (English) Zbl 1238.34018 Math. Methods Appl. Sci. 35, No. 4, 474-481 (2012). MSC: 34A33 35C07 34A25 34A05 PDFBibTeX XMLCite \textit{İ. Aslan}, Math. Methods Appl. Sci. 35, No. 4, 474--481 (2012; Zbl 1238.34018) Full Text: DOI
Aslan, Ịsmail The discrete \((G^{\prime}/G)\)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system. (English) Zbl 1252.65112 Numer. Methods Partial Differ. Equations 28, No. 1, 127-137 (2012). MSC: 65L03 34K28 34K13 PDFBibTeX XMLCite \textit{Ị. Aslan}, Numer. Methods Partial Differ. Equations 28, No. 1, 127--137 (2012; Zbl 1252.65112) Full Text: DOI Link
Aslan, İsmail A discrete generalization of the extended simplest equation method. (English) Zbl 1222.65114 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 1967-1973 (2010). MSC: 65M99 35C07 34A33 37K60 PDFBibTeX XMLCite \textit{İ. Aslan}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 1967--1973 (2010; Zbl 1222.65114) Full Text: DOI Link
Xin, Hua The exponential function rational expansion method and exact solutions to nonlinear lattice equations system. (English) Zbl 1207.34097 Appl. Math. Comput. 217, No. 4, 1561-1565 (2010). MSC: 34K31 34A05 PDFBibTeX XMLCite \textit{H. Xin}, Appl. Math. Comput. 217, No. 4, 1561--1565 (2010; Zbl 1207.34097) Full Text: DOI
Aslan, İsmail Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method. (English) Zbl 1186.34004 Appl. Math. Comput. 215, No. 8, 3140-3147 (2009). MSC: 34A05 34K31 34A33 34A45 PDFBibTeX XMLCite \textit{İ. Aslan}, Appl. Math. Comput. 215, No. 8, 3140--3147 (2009; Zbl 1186.34004) Full Text: DOI Link
Zhang, Shan-Qing A new expanded method for solving nonlinear differential-difference equation. (English) Zbl 1229.65145 J. Shanghai Jiaotong Univ., Sci. 13, No. 4, 509-512 (2008). MSC: 65L99 34K99 PDFBibTeX XMLCite \textit{S.-Q. Zhang}, J. Shanghai Jiaotong Univ., Sci. 13, No. 4, 509--512 (2008; Zbl 1229.65145) Full Text: DOI
Xie, Fuding; Wang, Dingkang; Lü, Zhuosheng An approach to directly construct exact solutions of nonlinear differential-difference equations. (English) Zbl 1096.34501 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 8, 1490-1497 (2005). Reviewer: N. C. Apreutesei (Iaşi) MSC: 34A05 34K05 34A35 PDFBibTeX XMLCite \textit{F. Xie} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 8, 1490--1497 (2005; Zbl 1096.34501) Full Text: DOI