Gao, Yun-Zhi; Tian, Shou-Fu; Fan, Hai-Ning On the Poisson structure and action-angle variables for the Fokas-Lenells equation. (English) Zbl 07799742 J. Geom. Phys. 197, Article ID 105099, 17 p. (2024). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 PDFBibTeX XMLCite \textit{Y.-Z. Gao} et al., J. Geom. Phys. 197, Article ID 105099, 17 p. (2024; Zbl 07799742) Full Text: DOI
Guo, Lijuan; Wang, Lihong; Chen, Lei; He, Jingsong Dynamics of the rogue lump in the asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 07778792 Stud. Appl. Math. 151, No. 1, 35-59 (2023). MSC: 35Q35 35Q86 76B25 76Q05 86A05 35C08 37K15 PDFBibTeX XMLCite \textit{L. Guo} et al., Stud. Appl. Math. 151, No. 1, 35--59 (2023; Zbl 07778792) Full Text: DOI
Xu, Xuemei; Yang, Yunqing Breather and nondegenerate solitons in the two-component modified Korteweg-de Vries equation. (English) Zbl 07708914 Appl. Math. Lett. 144, Article ID 108695, 9 p. (2023). MSC: 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{X. Xu} and \textit{Y. Yang}, Appl. Math. Lett. 144, Article ID 108695, 9 p. (2023; Zbl 07708914) Full Text: DOI
Yang, Shuxin; Li, Biao \(\bar{\partial}\)-dressing method for the \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 1519.35280 Appl. Math. Lett. 140, Article ID 108589, 8 p. (2023). MSC: 35Q53 37K15 34K35 35P25 35B40 PDFBibTeX XMLCite \textit{S. Yang} and \textit{B. Li}, Appl. Math. Lett. 140, Article ID 108589, 8 p. (2023; Zbl 1519.35280) Full Text: DOI
Meng, Yong Interaction solutions of the \((2+1)\)-dimensional Sawada-Kotera equation. (English) Zbl 1510.35110 Adv. Math. Phys. 2023, Article ID 9472715, 13 p. (2023). MSC: 35C08 35C05 PDFBibTeX XMLCite \textit{Y. Meng}, Adv. Math. Phys. 2023, Article ID 9472715, 13 p. (2023; Zbl 1510.35110) Full Text: DOI
Zhang, Ling-Ling; Wang, Xin Soliton solution and asymptotic analysis of the three-component Hirota-Satsuma coupled KdV equation. (English) Zbl 1508.35137 Physica A 612, Article ID 128481, 16 p. (2023). MSC: 35Q53 35C08 35B40 35R09 PDFBibTeX XMLCite \textit{L.-L. Zhang} and \textit{X. Wang}, Physica A 612, Article ID 128481, 16 p. (2023; Zbl 1508.35137) Full Text: DOI
Wang, Kangle Novel scheme for the fractal-fractional short water wave model with unsmooth boundaries. (English) Zbl 1509.35250 Fractals 30, No. 9, Article ID 2250193, 10 p. (2022). MSC: 35Q35 35Q86 35A15 35C08 76S05 86A05 28A80 26A33 35R11 PDFBibTeX XMLCite \textit{K. Wang}, Fractals 30, No. 9, Article ID 2250193, 10 p. (2022; Zbl 1509.35250) Full Text: DOI
Li, Ji; Liu, Yue; Wu, Qiliang Orbital stability of the sum of smooth solitons in the Degasperis-Procesi equation. (English. French summary) Zbl 1491.35341 J. Math. Pures Appl. (9) 163, 204-230 (2022). MSC: 35Q35 35Q51 37K40 37K45 76B25 35B35 35B45 35B20 35B40 35B65 35C08 PDFBibTeX XMLCite \textit{J. Li} et al., J. Math. Pures Appl. (9) 163, 204--230 (2022; Zbl 1491.35341) Full Text: DOI arXiv
Ma, Wen-Xiu \(N\)-soliton solutions and the Hirota conditions in (1 + 1)-dimensions. (English) Zbl 07533159 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 1, 123-133 (2022). MSC: 35Q51 35Q53 37K40 PDFBibTeX XMLCite \textit{W.-X. Ma}, Int. J. Nonlinear Sci. Numer. Simul. 23, No. 1, 123--133 (2022; Zbl 07533159) Full Text: DOI
Bak, Soyoon A mixed approximate method to simulate generalized Hirota-Satsuma coupled KdV equations. (English) Zbl 1499.65371 Comput. Appl. Math. 41, No. 3, Paper No. 102, 22 p. (2022). MSC: 65M06 35Q53 65M25 PDFBibTeX XMLCite \textit{S. Bak}, Comput. Appl. Math. 41, No. 3, Paper No. 102, 22 p. (2022; Zbl 1499.65371) Full Text: DOI
Ma, Hongcai; Yue, Shupan; Deng, Aiping D’Alembert wave, the Hirota conditions and soliton molecule of a new generalized KdV equation. (English) Zbl 1492.35274 J. Geom. Phys. 172, Article ID 104413, 10 p. (2022). MSC: 35Q53 35C07 35C08 PDFBibTeX XMLCite \textit{H. Ma} et al., J. Geom. Phys. 172, Article ID 104413, 10 p. (2022; Zbl 1492.35274) Full Text: DOI
Guo, Lijuan; He, Jingsong; Mihalache, Dumitru Rational and semi-rational solutions to the asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 1519.35270 J. Phys. A, Math. Theor. 54, No. 9, Article ID 095703, 22 p. (2021). MSC: 35Q53 35Q55 35C08 PDFBibTeX XMLCite \textit{L. Guo} et al., J. Phys. A, Math. Theor. 54, No. 9, Article ID 095703, 22 p. (2021; Zbl 1519.35270) Full Text: DOI
Khalique, Chaudry Masood; Maefo, Kentse A study on the (2+1)-dimensional first extended Calogero-Bogoyavlenskii-Schiff equation. (English) Zbl 1501.35016 Math. Biosci. Eng. 18, No. 5, 5816-5835 (2021). MSC: 35B06 35G20 PDFBibTeX XMLCite \textit{C. M. Khalique} and \textit{K. Maefo}, Math. Biosci. Eng. 18, No. 5, 5816--5835 (2021; Zbl 1501.35016) Full Text: DOI
Fan, Yong-Yan; Manafian, Jalil; Zia, Syed Maqsood; Dinh Tran Ngoc Huy; Le, Trung-Hieu Analytical treatment of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave. (English) Zbl 1479.35025 Adv. Math. Phys. 2021, Article ID 1164838, 26 p. (2021). MSC: 35A22 35G25 35Q35 76M30 PDFBibTeX XMLCite \textit{Y.-Y. Fan} et al., Adv. Math. Phys. 2021, Article ID 1164838, 26 p. (2021; Zbl 1479.35025) Full Text: DOI
Ma, Wen-Xiu \(N\)-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation. (English) Zbl 07431516 Math. Comput. Simul. 190, 270-279 (2021). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{W.-X. Ma}, Math. Comput. Simul. 190, 270--279 (2021; Zbl 07431516) Full Text: DOI
Lü, Xing; Chen, Si-Jia New general interaction solutions to the KPI equation via an optional decoupling condition approach. (English) Zbl 1478.35083 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105939, 10 p. (2021). MSC: 35C08 35A25 37K10 PDFBibTeX XMLCite \textit{X. Lü} and \textit{S.-J. Chen}, Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105939, 10 p. (2021; Zbl 1478.35083) Full Text: DOI
Hong, Xiao; Manafian, Jalil; Ilhan, Onur Alp; Alkireet, Arshad Ilyas Ali; Nasution, Mahyuddin K. M. Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave. (English) Zbl 1479.35721 J. Geom. Phys. 170, Article ID 104338, 19 p. (2021). MSC: 35Q51 35Q53 35C08 76B25 PDFBibTeX XMLCite \textit{X. Hong} et al., J. Geom. Phys. 170, Article ID 104338, 19 p. (2021; Zbl 1479.35721) Full Text: DOI
Cardona, Duván; Esquivel, Liliana On the Benjamin-Ono equation in the half line. (English) Zbl 1479.35651 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112427, 21 p. (2021). MSC: 35Q35 35Q53 35Q15 35A01 46N20 PDFBibTeX XMLCite \textit{D. Cardona} and \textit{L. Esquivel}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112427, 21 p. (2021; Zbl 1479.35651) Full Text: DOI arXiv
Hao, Xiazhi Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs. (English. Russian original) Zbl 1467.35019 Theor. Math. Phys. 206, No. 2, 119-127 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 139-148 (2021). MSC: 35A30 35B06 PDFBibTeX XMLCite \textit{X. Hao}, Theor. Math. Phys. 206, No. 2, 119--127 (2021; Zbl 1467.35019); translation from Teor. Mat. Fiz. 206, No. 2, 139--148 (2021) Full Text: DOI
Yao, Ruoxia; Li, Yan; Lou, Senyue A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada-Kotera equation. (English) Zbl 1467.37066 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105820, 11 p. (2021). MSC: 37K40 37K10 35Q51 35C08 PDFBibTeX XMLCite \textit{R. Yao} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105820, 11 p. (2021; Zbl 1467.37066) Full Text: DOI arXiv
Matsuno, Yoshimasa Parametric solutions of the generalized short pulse equations. (English) Zbl 1514.35380 J. Phys. A, Math. Theor. 53, No. 10, Article ID 105202, 26 p. (2020). MSC: 35Q51 35C08 PDFBibTeX XMLCite \textit{Y. Matsuno}, J. Phys. A, Math. Theor. 53, No. 10, Article ID 105202, 26 p. (2020; Zbl 1514.35380) Full Text: DOI arXiv
Wang, Lan; Zhou, Yuqian; Liu, Qian; Zhang, Qiuyan Traveling waves of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation. (English) Zbl 1464.37075 J. Appl. Anal. Comput. 10, No. 1, 267-281 (2020). MSC: 37K50 35B32 35C07 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Appl. Anal. Comput. 10, No. 1, 267--281 (2020; Zbl 1464.37075) Full Text: DOI
Chen, Si-Jia; Ma, Wen-Xiu; Lü, Xing Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation. (English) Zbl 1456.35178 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105135, 12 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 37K35 35C08 37K40 PDFBibTeX XMLCite \textit{S.-J. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105135, 12 p. (2020; Zbl 1456.35178) Full Text: DOI
Kuo, Chun-Ku; Ma, Wen-Xiu A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle. (English) Zbl 1430.35048 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111592, 9 p. (2020). MSC: 35C08 35G25 PDFBibTeX XMLCite \textit{C.-K. Kuo} and \textit{W.-X. Ma}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111592, 9 p. (2020; Zbl 1430.35048) Full Text: DOI
Manukure, Solomon; Chowdhury, Abhinandan; Zhou, Yuan Complexiton solutions to the asymmetric Nizhnik-Novikov-Veselov equation. (English) Zbl 1427.35237 Int. J. Mod. Phys. B 33, No. 11, Article ID 1950098, 13 p. (2019). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{S. Manukure} et al., Int. J. Mod. Phys. B 33, No. 11, Article ID 1950098, 13 p. (2019; Zbl 1427.35237) Full Text: DOI
Rasin, Alexander G.; Schiff, Jeremy A simple-looking relative of the Novikov, Hirota-Satsuma and Sawada-Kotera equations. (English) Zbl 1418.35330 J. Nonlinear Math. Phys. 26, No. 4, 555-568 (2019). MSC: 35Q53 37K05 37K10 37K35 37K40 37K45 70G65 PDFBibTeX XMLCite \textit{A. G. Rasin} and \textit{J. Schiff}, J. Nonlinear Math. Phys. 26, No. 4, 555--568 (2019; Zbl 1418.35330) Full Text: DOI arXiv
Liu, Jian-Guo; Tian, Yu; Hu, Jian-Guo New non-traveling wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation. (English) Zbl 1459.35071 Appl. Math. Lett. 79, 162-168 (2018). MSC: 35C07 35G25 33F10 PDFBibTeX XMLCite \textit{J.-G. Liu} et al., Appl. Math. Lett. 79, 162--168 (2018; Zbl 1459.35071) Full Text: DOI
Liu, Jian-Guo Double-periodic soliton solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in incompressible fluid. (English) Zbl 1420.35247 Comput. Math. Appl. 75, No. 10, 3604-3613 (2018). MSC: 35Q35 35Q53 35C08 76B25 35B10 PDFBibTeX XMLCite \textit{J.-G. Liu}, Comput. Math. Appl. 75, No. 10, 3604--3613 (2018; Zbl 1420.35247) Full Text: DOI
Chen, Junchao; Ma, Zhengyi; Hu, Yahong Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation. (English) Zbl 1383.35009 J. Math. Anal. Appl. 460, No. 2, 987-1003 (2018). MSC: 35B06 35Q35 37K10 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Math. Anal. Appl. 460, No. 2, 987--1003 (2018; Zbl 1383.35009) Full Text: DOI arXiv
Jevnikar, Aleks; Yang, Wen Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results. (English) Zbl 1370.35128 Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 43, 38 p. (2017). Reviewer: Andrei Perjan (Chişinău) MSC: 35J61 35B44 35J20 35R01 PDFBibTeX XMLCite \textit{A. Jevnikar} and \textit{W. Yang}, Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 43, 38 p. (2017; Zbl 1370.35128) Full Text: DOI arXiv
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue. (English) Zbl 1368.37077 J. Phys. A, Math. Theor. 50, No. 5, Article ID 055201, 15 p. (2017). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 37K10 37K40 37K60 39A12 PDFBibTeX XMLCite \textit{B.-F. Feng} et al., J. Phys. A, Math. Theor. 50, No. 5, Article ID 055201, 15 p. (2017; Zbl 1368.37077) Full Text: DOI arXiv
Peng, Xiaoming; Shang, Yadong; Zheng, Xiaoxiao New non-travelling wave solutions of Calogero equation. (English) Zbl 1488.35161 Adv. Appl. Math. Mech. 8, No. 6, 1036-1049 (2016). MSC: 35C09 35Q53 68W30 PDFBibTeX XMLCite \textit{X. Peng} et al., Adv. Appl. Math. Mech. 8, No. 6, 1036--1049 (2016; Zbl 1488.35161) Full Text: DOI
Rui, Wenjuan Quasi-periodic wave solutions and asymptotic behavior for an extended \((2+1)\)-dimensional shallow water wave equation. (English) Zbl 1419.35008 Adv. Difference Equ. 2016, Paper No. 135, 12 p. (2016). MSC: 35C08 37K35 35Q35 PDFBibTeX XMLCite \textit{W. Rui}, Adv. Difference Equ. 2016, Paper No. 135, 12 p. (2016; Zbl 1419.35008) Full Text: DOI
Vakhnenko, V. O.; Parkes, E. J. Approach in theory of nonlinear evolution equations: the Vakhnenko-Parkes equation. (English) Zbl 1455.35217 Adv. Math. Phys. 2016, Article ID 2916582, 39 p. (2016). Reviewer: Solomon Manukure (Austin) MSC: 35Q51 37K15 35C08 37K35 PDFBibTeX XMLCite \textit{V. O. Vakhnenko} and \textit{E. J. Parkes}, Adv. Math. Phys. 2016, Article ID 2916582, 39 p. (2016; Zbl 1455.35217) Full Text: DOI
Pan, Chaohong; Yi, Yating Some extensions on the soliton solutions for the Novikov equation with cubic nonlinearity. (English) Zbl 1421.76191 J. Nonlinear Math. Phys. 22, No. 2, 308-320 (2015). MSC: 76M60 58D19 35D30 PDFBibTeX XMLCite \textit{C. Pan} and \textit{Y. Yi}, J. Nonlinear Math. Phys. 22, No. 2, 308--320 (2015; Zbl 1421.76191) 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
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
Miao, Qian; Wang, Yunhu; Chen, Yong; Yang, Yunqing PDEBellII: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations. (English) Zbl 1344.37003 Comput. Phys. Commun. 185, No. 1, 357-367 (2014). MSC: 37-04 35Q53 37K35 37K05 37K20 37K10 PDFBibTeX XMLCite \textit{Q. Miao} et al., Comput. Phys. Commun. 185, No. 1, 357--367 (2014; Zbl 1344.37003) Full Text: DOI
Zhang, Ben-gong Analytical and multishaped solitary wave solutions for extended reduced Ostrovsky equation. (English) Zbl 1470.35321 Abstr. Appl. Anal. 2013, Article ID 670847, 8 p. (2013). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{B.-g. Zhang}, Abstr. Appl. Anal. 2013, Article ID 670847, 8 p. (2013; Zbl 1470.35321) Full Text: DOI
Wazwaz, Abdul-Majid Two B-type Kadomtsev-Petviashvili equations of \((2+1)\) and \((3+1)\) dimensions: multiple soliton solutions, rational solutions and periodic solutions. (English) Zbl 1290.35028 Comput. Fluids 86, 357-362 (2013). MSC: 35C05 35C08 35Q53 35B10 76M25 76B25 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Comput. Fluids 86, 357--362 (2013; Zbl 1290.35028) Full Text: DOI
Ye, Yi-Chao; Zhou, Zi-Xiang A universal way to determine Hirota’s bilinear equation of KdV type. (English) Zbl 1293.35285 J. Math. Phys. 54, No. 8, 081506, 17 p. (2013). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{Y.-C. Ye} and \textit{Z.-X. Zhou}, J. Math. Phys. 54, No. 8, 081506, 17 p. (2013; Zbl 1293.35285) Full Text: DOI
Matsuno, Yoshimasa Bäcklund transformation and smooth multisoliton solutions for a modified Camassa-Holm equation with cubic nonlinearity. (English) Zbl 1298.37056 J. Math. Phys. 54, No. 5, 051504, 14 p. (2013). MSC: 37K10 37K35 37K40 35C08 PDFBibTeX XMLCite \textit{Y. Matsuno}, J. Math. Phys. 54, No. 5, 051504, 14 p. (2013; Zbl 1298.37056) Full Text: DOI arXiv
Dai, Chao-Qing; Zhang, Wen-Ting; Chen, Wei-Lu Novel soliton interaction behaviours in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 1291.35277 Rep. Math. Phys. 71, No. 2, 195-204 (2013). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{C.-Q. Dai} et al., Rep. Math. Phys. 71, No. 2, 195--204 (2013; Zbl 1291.35277) Full Text: DOI Link
Wazwaz, Abdul-Majid A variety of distinct kinds of multiple soliton solutions for a \((3+1)\)-dimensional nonlinear evolution equation. (English) Zbl 1510.35112 Math. Methods Appl. Sci. 36, No. 3, 349-357 (2013). MSC: 35C08 35B25 35Q51 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 36, No. 3, 349--357 (2013; Zbl 1510.35112) Full Text: DOI
Wang, Yunhu; Chen, Yong Integrability of the modified generalised Vakhnenko equation. (English) Zbl 1296.37049 J. Math. Phys. 53, No. 12, 123504, 20 p. (2012). Reviewer: Alexander Zheglov (Moskva) MSC: 37K10 37K35 37K40 37K05 37C55 14K25 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Chen}, J. Math. Phys. 53, No. 12, 123504, 20 p. (2012; Zbl 1296.37049) Full Text: DOI Link
Xiao, Yafeng; Xue, Haili; Zhang, Hongqing A new extended Jacobi elliptic function expansion method and its application to the generalized shallow water wave equation. (English) Zbl 1308.76216 J. Appl. Math. 2012, Article ID 896748, 21 p. (2012). MSC: 76M25 76B15 65M70 PDFBibTeX XMLCite \textit{Y. Xiao} et al., J. Appl. Math. 2012, Article ID 896748, 21 p. (2012; Zbl 1308.76216) Full Text: DOI
Yan, Fang; Hua, Cuncai; Liu, Haihong; Liu, Zengrong The exact traveling wave solutions and their bifurcations in the Gardner and Gardner-KP equations. (English) Zbl 1258.34010 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 5, Paper No. 1250126, 11 p. (2012). MSC: 34A05 35Q53 35C07 34C37 34C05 PDFBibTeX XMLCite \textit{F. Yan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 5, Paper No. 1250126, 11 p. (2012; Zbl 1258.34010) Full Text: DOI
Kamenov, Ognyan Yordanov; Angova, Anna P. Exact periodic solutions of the nonintegrable Kawahara equation. (English) Zbl 1247.35121 ISRN Math. Phys. 2012, Article ID 185469, 11 p. (2012). MSC: 35Q51 35C07 35B10 PDFBibTeX XMLCite \textit{O. Y. Kamenov} and \textit{A. P. Angova}, ISRN Math. Phys. 2012, Article ID 185469, 11 p. (2012; Zbl 1247.35121) Full Text: DOI
Wazwaz, Abdul-Majid A study on the \((2 + 1)\)-dimensional and the \((2 + 1)\)-dimensional higher-order Burgers equations. (English) Zbl 1252.35233 Appl. Math. Lett. 25, No. 10, 1495-1499 (2012). MSC: 35Q35 35A22 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Lett. 25, No. 10, 1495--1499 (2012; Zbl 1252.35233) Full Text: DOI
Elboree, Mohammed K. Hyperbolic and trigonometric solutions for some nonlinear evolution equations. (English) Zbl 1248.35183 Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4085-4096 (2012). MSC: 35Q53 35C07 35Q35 PDFBibTeX XMLCite \textit{M. K. Elboree}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4085--4096 (2012; Zbl 1248.35183) Full Text: DOI
Qu, Qi-Xing; Tian, Bo; Liu, Wen-Jun; Wang, Pan; Jiang, Yan Soliton solutions and Bäcklund transformation for the normalized linearly coupled nonlinear wave equations with symbolic computation. (English) Zbl 1248.35177 Appl. Math. Comput. 218, No. 21, 10386-10392 (2012). MSC: 35Q51 35C08 37K35 PDFBibTeX XMLCite \textit{Q.-X. Qu} et al., Appl. Math. Comput. 218, No. 21, 10386--10392 (2012; Zbl 1248.35177) Full Text: DOI
Liu, Licai; Tian, Bo; Qin, Bo; Lü, Xing; Lin, Zhiqiang; Liu, Wenjun Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation. (English) Zbl 1252.35243 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2394-2402 (2012). MSC: 35Q53 37K35 35C08 68W30 PDFBibTeX XMLCite \textit{L. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2394--2402 (2012; Zbl 1252.35243) Full Text: DOI
Wazwaz, Abdul-Majid Multiple-soliton solutions for a \((3 + 1)\)-dimensional generalized KP equation. (English) Zbl 1245.35104 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 491-495 (2012). MSC: 35Q51 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 491--495 (2012; Zbl 1245.35104) Full Text: DOI
Ye, Yichao; Wang, Lihong; Chang, Zhaowei; He, Jingsong An efficient algorithm of logarithmic transformation to Hirota bilinear form of KdV-type bilinear equation. (English) Zbl 1416.65385 Appl. Math. Comput. 218, No. 5, 2200-2209 (2011). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{Y. Ye} et al., Appl. Math. Comput. 218, No. 5, 2200--2209 (2011; Zbl 1416.65385) Full Text: DOI arXiv
Rezvan, Farshad; Yaşar, Emrullah; Özer, Teoman Group properties and conservation laws for nonlocal shallow water wave equation. (English) Zbl 1252.76073 Appl. Math. Comput. 218, No. 3, 974-979 (2011). Reviewer: Willi-Hans Steeb (Johannesburg) MSC: 76M60 76B15 35Q35 35A30 PDFBibTeX XMLCite \textit{F. Rezvan} et al., Appl. Math. Comput. 218, No. 3, 974--979 (2011; Zbl 1252.76073) Full Text: DOI
Shang, Yadong; Huang, Yong The Bäcklund transformations and abundant explicit exact solutions for the AKNS-SWW equation. (English) Zbl 1221.35361 Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2445-2455 (2011). MSC: 35Q53 35C07 35C08 37K35 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{Y. Huang}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2445--2455 (2011; Zbl 1221.35361) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations. (English) Zbl 1219.35215 Math. Methods Appl. Sci. 34, No. 13, 1580-1586 (2011). MSC: 35Q51 35Q53 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 34, No. 13, 1580--1586 (2011; Zbl 1219.35215) Full Text: DOI
Wazwaz, Abdul-Majid \(N\)-soliton solutions for shallow water waves equations in \((1+1)\) and \((2+1)\) dimensions. (English) Zbl 1333.35244 Appl. Math. Comput. 217, No. 21, 8840-8845 (2011). MSC: 35Q53 35C08 37K40 76B15 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 21, 8840--8845 (2011; Zbl 1333.35244) Full Text: DOI
Esfahani, Amin Solitary waves for the perturbed nonlinear Klein-Gordon equation. (English) Zbl 1208.35017 Appl. Math. Lett. 24, No. 2, 204-209 (2011). MSC: 35C08 35L71 PDFBibTeX XMLCite \textit{A. Esfahani}, Appl. Math. Lett. 24, No. 2, 204--209 (2011; Zbl 1208.35017) Full Text: DOI
Lü, Xing; Tian, Bo; Sun, Kun; Wang, Pan Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function. (English) Zbl 1314.35129 J. Math. Phys. 51, No. 11, 113506, 8 p. (2010). MSC: 35Q51 37K10 37K35 35C11 PDFBibTeX XMLCite \textit{X. Lü} et al., J. Math. Phys. 51, No. 11, 113506, 8 p. (2010; Zbl 1314.35129) Full Text: DOI
Lü, Xing; Li, Juan; Zhang, Hai-Qiang; Xu, Tao; Li, Li-Li; Tian, Bo Integrability aspects with optical solitons of a generalized variable-coefficient \(N\)-coupled higher order nonlinear Schrödinger system from inhomogeneous optical fibers. (English) Zbl 1310.35219 J. Math. Phys. 51, No. 4, 043511, 24 p. (2010). MSC: 35Q55 35C08 78A50 81U30 35L67 35A22 PDFBibTeX XMLCite \textit{X. Lü} et al., J. Math. Phys. 51, No. 4, 043511, 24 p. (2010; Zbl 1310.35219) Full Text: DOI
Wazwaz, Abdul-Majid Burgers hierarchy: multiple kink solutions and multiple singular kink solutions. (English) Zbl 1298.35167 J. Franklin Inst. 347, No. 3, 618-626 (2010). MSC: 35Q51 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, J. Franklin Inst. 347, No. 3, 618--626 (2010; Zbl 1298.35167) Full Text: DOI
Wazwaz, Abdul-Majid A study on an integrable system of coupled KdV equations. (English) Zbl 1222.37070 Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2846-2850 (2010). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2846--2850 (2010; Zbl 1222.37070) Full Text: DOI
Wazwaz, Abdul-Majid Completely integrable coupled KdV and coupled KP systems. (English) Zbl 1222.37069 Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2828-2835 (2010). MSC: 37K10 35Q40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2828--2835 (2010; Zbl 1222.37069) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions for a \((2 + 1)\)-dimensional integrable KdV6 equation. (English) Zbl 1221.35371 Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1466-1472 (2010). MSC: 35Q53 37K20 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1466--1472 (2010; Zbl 1221.35371) Full Text: DOI
Wazwaz, Abdul-Majid Burgers hierarchy in \((2+1)\)-dimensions: multiple kink solutions and multiple singular kink solutions. (English) Zbl 1225.35191 Int. J. Nonlinear Sci. 10, No. 1, 3-11 (2010). MSC: 35Q51 35A22 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Int. J. Nonlinear Sci. 10, No. 1, 3--11 (2010; Zbl 1225.35191)
Qu, Qi-Xing; Tian, Bo; Liu, Wen-Jun; Li, Min; Sun, Kun Painlevé integrability and \(N\)-soliton solution for the variable-coefficient Zakharov-Kuznetsov equation from plasmas. (English) Zbl 1207.35091 Nonlinear Dyn. 62, No. 1-2, 229-235 (2010). MSC: 35C08 82D10 35Q60 37K10 35Q51 PDFBibTeX XMLCite \textit{Q.-X. Qu} et al., Nonlinear Dyn. 62, No. 1--2, 229--235 (2010; Zbl 1207.35091) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions for the Bogoyavlenskii’s generalized breaking soliton equations and its extension form. (English) Zbl 1206.35215 Appl. Math. Comput. 217, No. 8, 4282-4288 (2010). MSC: 35Q51 35C08 35A22 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 8, 4282--4288 (2010; Zbl 1206.35215) Full Text: DOI
Xue, Yu-Shan; Li, Li-Li; Meng, Xiang-Hua; Xu, Tao; Lü, Xing; Liu, Wen-Jun; Tian, Bo Solitons and localized excitations for the (2+1)-dimensional dispersive long wave system via symbolic computation. (English) Zbl 1209.37091 Int. J. Mod. Phys. B 24, No. 18, 3529-3541 (2010). Reviewer: Feng Xie (Shanghai) MSC: 37K40 68W05 68W30 PDFBibTeX XMLCite \textit{Y.-S. Xue} et al., Int. J. Mod. Phys. B 24, No. 18, 3529--3541 (2010; Zbl 1209.37091) Full Text: DOI
Geng, Tao; Meng, Xiang-Hua; Shan, Wen-Rui; Tian, Bo Bäcklund transformation and multi-soliton solutions for a \((2+1)\)-dimensional Korteweg-de Vries system via symbolic computation. (English) Zbl 1203.35218 Appl. Math. Comput. 217, No. 4, 1470-1475 (2010). MSC: 35Q53 35-04 35C08 35A24 37K10 37K35 PDFBibTeX XMLCite \textit{T. Geng} et al., Appl. Math. Comput. 217, No. 4, 1470--1475 (2010; Zbl 1203.35218) Full Text: DOI
Zhang, Bengong; Liu, Zhengrong; Xiao, Qing New exact solitary wave and multiple soliton solutions of quantum Zakharov-Kuznetsov equation. (English) Zbl 1200.35238 Appl. Math. Comput. 217, No. 1, 392-402 (2010). MSC: 35Q40 35Q53 35Q51 35C07 35C08 PDFBibTeX XMLCite \textit{B. Zhang} et al., Appl. Math. Comput. 217, No. 1, 392--402 (2010; Zbl 1200.35238) Full Text: DOI
Li, Juan; Tian, Bo; Wei, Guang-Mei; Zhang, Hai-Qiang Integrable properties and similarity reductions of the sine-Laplace equation from an inviscid incompressible fluid with symbolic computation. (English) Zbl 1203.37109 Int. J. Mod. Phys. B 24, No. 9, 1173-1185 (2010). Reviewer: Rakib Efendiev (Baku) MSC: 37K10 37K35 37K30 68W30 76B25 34M55 PDFBibTeX XMLCite \textit{J. Li} et al., Int. J. Mod. Phys. B 24, No. 9, 1173--1185 (2010; Zbl 1203.37109) Full Text: DOI
Wazwaz, Abdul-Majid \(N\)-soliton solutions for the integrable bidirectional sixth-order Sawada-Kotera equation. (English) Zbl 1192.35156 Appl. Math. Comput. 216, No. 8, 2317-2320 (2010). MSC: 35Q53 35C08 35A30 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 216, No. 8, 2317--2320 (2010; Zbl 1192.35156) Full Text: DOI
Yang, Zonghang; Hon, Y. C. A rational generalization of Fan’s method and its application to generalized shallow water wave equations. (English) Zbl 1425.76195 Appl. Math. Comput. 216, No. 7, 1984-1995 (2010). MSC: 76M25 35Q35 35C07 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{Y. C. Hon}, Appl. Math. Comput. 216, No. 7, 1984--1995 (2010; Zbl 1425.76195) Full Text: DOI
Wazwaz, Abdul-Majid; Triki, Houria Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation. (English) Zbl 1185.35243 Appl. Math. Comput. 216, No. 1, 332-336 (2010). MSC: 35Q53 35Q51 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{H. Triki}, Appl. Math. Comput. 216, No. 1, 332--336 (2010; Zbl 1185.35243) Full Text: DOI
Wazwaz, Abdul-Majid Four \((2 + 1)\)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation. (English) Zbl 1186.37083 Appl. Math. Comput. 215, No. 10, 3631-3644 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 37K10 37K05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 215, No. 10, 3631--3644 (2010; Zbl 1186.37083) Full Text: DOI
Wazwaz, Abdul-Majid Multiple kink solutions and multiple singular kink solutions for two systems of coupled Burgers-type equations. (English) Zbl 1221.35374 Commun. Nonlinear Sci. Numer. Simul. 14, No. 7, 2962-2970 (2009). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 7, 2962--2970 (2009; Zbl 1221.35374) Full Text: DOI
Wang, Ming-Zhen; Gao, Yi-Tian; Zhang, Cheng; Meng, Xiang-Hua; Yu, Xin; Xu, Tao; Feng, Qian The Painlevé integrability and \(N\)-solitonic solution in terms of the Wronskian determinant for a variable-coefficient variant Boussinesq model of nonlinear waves. (English) Zbl 1180.37110 Int. J. Mod. Phys. B 23, No. 18, 3811-3828 (2009). MSC: 37K40 37K35 35Q35 76B15 PDFBibTeX XMLCite \textit{M.-Z. Wang} et al., Int. J. Mod. Phys. B 23, No. 18, 3811--3828 (2009; Zbl 1180.37110) Full Text: DOI
Lü, Xing; Geng, Tao; Zhang, Cheng; Zhu, Hong-Wu; Meng, Xiang-Hua; Tian, Bo Multi-soliton solutions and their interactions for the \((2+1)\)-dimensional Sawada-Kotera model with truncated Painlevé expansion, Hirota bilinear method and symbolic computation. (English) Zbl 1180.37094 Int. J. Mod. Phys. B 23, No. 25, 5003-5015 (2009). MSC: 37K10 34M55 35Q53 68W30 PDFBibTeX XMLCite \textit{X. Lü} et al., Int. J. Mod. Phys. B 23, No. 25, 5003--5015 (2009; Zbl 1180.37094) Full Text: DOI
Li, Dong-Long; Zhao, Jun-Xiao New exact solutions to the \((2 + 1)\)-dimensional Ito equation: Extended homoclinic test technique. (English) Zbl 1190.60052 Appl. Math. Comput. 215, No. 5, 1968-1974 (2009). Reviewer: Constantin Vârsan (Bucureşti) MSC: 60H15 PDFBibTeX XMLCite \textit{D.-L. Li} and \textit{J.-X. Zhao}, Appl. Math. Comput. 215, No. 5, 1968--1974 (2009; Zbl 1190.60052) Full Text: DOI
Wazwaz, Abdul-Majid A \((3+1)\)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions. (English) Zbl 1179.35278 Appl. Math. Comput. 215, No. 4, 1548-1552 (2009). MSC: 35Q51 35C08 35A30 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 215, No. 4, 1548--1552 (2009; Zbl 1179.35278) Full Text: DOI
Wazwaz, Abdul-Majid Four \((2+1)\)-dimensional integrable extensions of the KdV equation: multiple-soliton and multiple singular soliton solutions. (English) Zbl 1177.65162 Appl. Math. Comput. 215, No. 4, 1463-1476 (2009). MSC: 65M70 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 215, No. 4, 1463--1476 (2009; Zbl 1177.65162) Full Text: DOI
Dai, Chao-Qing; Wang, Yue-Yue New variable separation solutions of the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 1173.35315 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 1496-1503 (2009). MSC: 35A25 35C05 PDFBibTeX XMLCite \textit{C.-Q. Dai} and \textit{Y.-Y. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 1496--1503 (2009; Zbl 1173.35315) Full Text: DOI
Wazwaz, Abdul-Majid Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations. (English) Zbl 1173.35704 Appl. Math. Comput. 211, No. 2, 495-501 (2009). MSC: 35Q58 35Q35 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 211, No. 2, 495--501 (2009; Zbl 1173.35704) Full Text: DOI
Hietarinta, J. Hirota’s bilinear method and its connection with integrability. (English) Zbl 1155.35435 Mikhailov, Alexander V., Integrability. Berlin: Springer (ISBN 978-3-540-88110-0/hbk; 978-3-540-88111-7/e-book). Lecture Notes in Physics 767, 279-314 (2009). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{J. Hietarinta}, Lect. Notes Phys. 767, 279--314 (2009; Zbl 1155.35435) Full Text: DOI
Wazwaz, Abdul-Majid The Cole-Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation. (English) Zbl 1155.35426 Appl. Math. Comput. 207, No. 1, 248-255 (2009). MSC: 35Q51 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 207, No. 1, 248--255 (2009; Zbl 1155.35426) Full Text: DOI
Wazwaz, Abdul-Majid Two systems of two-component integrable equations: multiple soliton solutions and multiple singular soliton solutions. (English) Zbl 1159.35433 Appl. Math. Comput. 207, No. 2, 397-405 (2009). MSC: 35Q58 35Q51 37K35 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 207, No. 2, 397--405 (2009; Zbl 1159.35433) Full Text: DOI
Wazwaz, Abdul-Majid \(N\)-soliton solutions for the combined KdV-CDG equation and the KdV-Lax equation. (English) Zbl 1185.65192 Appl. Math. Comput. 203, No. 1, 402-407 (2008). MSC: 65M70 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 203, No. 1, 402--407 (2008; Zbl 1185.65192) Full Text: DOI
Wazwaz, Abdul-Majid The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions. (English) Zbl 1154.65368 Appl. Math. Comput. 204, No. 2, 963-972 (2008). MSC: 65M70 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 204, No. 2, 963--972 (2008; Zbl 1154.65368) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions and multiple singular soliton solutions for the (3 + 1)-dimensional Burgers equations. (English) Zbl 1154.65367 Appl. Math. Comput. 204, No. 2, 942-948 (2008). MSC: 65M70 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 204, No. 2, 942--948 (2008; Zbl 1154.65367) Full Text: DOI
Wazwaz, Abdul-Majid Multiple kink solutions and multiple singular kink solutions for the (2 + 1)-dimensional Burgers equations. (English) Zbl 1159.35422 Appl. Math. Comput. 204, No. 2, 817-823 (2008). MSC: 35Q53 35Q51 35C05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 204, No. 2, 817--823 (2008; Zbl 1159.35422) Full Text: DOI
Wazwaz, Abdul-Majid Regular soliton solutions and singular soliton solutions for the modified Kadomtsev-Petviashvili equations. (English) Zbl 1159.35421 Appl. Math. Comput. 204, No. 1, 227-232 (2008). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 204, No. 1, 227--232 (2008; Zbl 1159.35421) Full Text: DOI
Wazwaz, Abdul-Majid Solitons and singular solitons for the Gardner-KP equation. (English) Zbl 1159.35432 Appl. Math. Comput. 204, No. 1, 162-169 (2008). MSC: 35Q58 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 204, No. 1, 162--169 (2008; Zbl 1159.35432) Full Text: DOI
Bai, Cheng-Jie; Zhao, Hong New solitary wave and Jacobi periodic wave excitation in \((2+1)\)-dimensional Boiti-Leon-Manna-Pempinelli system. (English) Zbl 1178.35315 Int. J. Mod. Phys. B 22, No. 15, 2407-2420 (2008). MSC: 35Q51 35-04 PDFBibTeX XMLCite \textit{C.-J. Bai} and \textit{H. Zhao}, Int. J. Mod. Phys. B 22, No. 15, 2407--2420 (2008; Zbl 1178.35315) Full Text: DOI
Wazwaz, Abdul-Majid Multiple-soliton solutions of two extended model equations for shallow water waves. (English) Zbl 1165.76007 Appl. Math. Comput. 201, No. 1-2, 790-799 (2008). Reviewer: Qian Zuwen (Beijing) MSC: 76B25 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 201, No. 1--2, 790--799 (2008; Zbl 1165.76007) Full Text: DOI
Wazwaz, Abdul-Majid The Hirota’s direct method for multiple-soliton solutions for three model equations of shallow water waves. (English) Zbl 1143.76018 Appl. Math. Comput. 201, No. 1-2, 489-503 (2008). MSC: 76B25 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 201, No. 1--2, 489--503 (2008; Zbl 1143.76018) Full Text: DOI
Wazwaz, Abdul-Majid Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota’s method, tanh-coth method and exp-function method. (English) Zbl 1147.65109 Appl. Math. Comput. 202, No. 1, 275-286 (2008). MSC: 65R20 45K05 65M70 35Q53 35Q51 76B15 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 202, No. 1, 275--286 (2008; Zbl 1147.65109) Full Text: DOI
Lambert, Franklin; Springael, Johan Soliton equations and simple combinatorics. (English) Zbl 1156.35078 Acta Appl. Math. 102, No. 2-3, 147-178 (2008). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 35Q51 37K40 14H70 35Q53 PDFBibTeX XMLCite \textit{F. Lambert} and \textit{J. Springael}, Acta Appl. Math. 102, No. 2--3, 147--178 (2008; Zbl 1156.35078) Full Text: DOI
Dai, Chao-Qing; Wu, Sheng-Sheng; Cen, Xu New exact solutions of the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 1187.35205 Int. J. Theor. Phys. 47, No. 5, 1286-1293 (2008). MSC: 35Q53 35A20 35-04 PDFBibTeX XMLCite \textit{C.-Q. Dai} et al., Int. J. Theor. Phys. 47, No. 5, 1286--1293 (2008; Zbl 1187.35205) Full Text: DOI
Zhang, Cheng; Zhu, Hong-Wu; Zhang, Chun-Yi; Yao, Zhen-Zhi; Lü, Xing; Meng, Xiang-Hua; Tian, Bo \(N\)-solitonic solution in terms of Wronskian determinant for a perturbed variable-coefficient Korteweg-de Vries equation. (English) Zbl 1143.35362 Int. J. Theor. Phys. 47, No. 2, 553-560 (2008). MSC: 35Q53 35Q51 37K35 35-04 PDFBibTeX XMLCite \textit{C. Zhang} et al., Int. J. Theor. Phys. 47, No. 2, 553--560 (2008; Zbl 1143.35362) Full Text: DOI