Alquran, Marwan; Alhami, Rahaf Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota’s bilinear method. (English) Zbl 1519.35269 Nonlinear Dyn. 109, No. 3, 1985-1992 (2022). MSC: 35Q53 35F25 35C10 PDFBibTeX XMLCite \textit{M. Alquran} and \textit{R. Alhami}, Nonlinear Dyn. 109, No. 3, 1985--1992 (2022; Zbl 1519.35269) Full Text: DOI
Smaoui, Nejib; Al Jamal, Rasha Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions. (English) Zbl 1516.93062 Nonlinear Dyn. 103, No. 1, 987-1009 (2021). MSC: 93B52 35Q53 35Q93 PDFBibTeX XMLCite \textit{N. Smaoui} and \textit{R. Al Jamal}, Nonlinear Dyn. 103, No. 1, 987--1009 (2021; Zbl 1516.93062) Full Text: DOI
Wang, Zhenli; Liu, Xiqiang Bifurcations and exact traveling wave solutions for the KdV-like equation. (English) Zbl 1439.35435 Nonlinear Dyn. 95, No. 1, 465-477 (2019). MSC: 35Q53 35C07 35B32 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{X. Liu}, Nonlinear Dyn. 95, No. 1, 465--477 (2019; Zbl 1439.35435) Full Text: DOI
Afzal, Usman; Raza, Nauman; Murtaza, Isma Ghulam On soliton solutions of time fractional form of Sawada-Kotera equation. (English) Zbl 1439.35423 Nonlinear Dyn. 95, No. 1, 391-405 (2019). MSC: 35Q53 35C08 35R11 PDFBibTeX XMLCite \textit{U. Afzal} et al., Nonlinear Dyn. 95, No. 1, 391--405 (2019; Zbl 1439.35423) Full Text: DOI
Tan, Wei; Dai, Zheng-De; Yin, Zhao-Yang Dynamics of multi-breathers, N-solitons and M-lump solutions in the \((2+1)\)-dimensional KdV equation. (English) Zbl 1437.35612 Nonlinear Dyn. 96, No. 2, 1605-1614 (2019). MSC: 35Q53 37K10 35C08 PDFBibTeX XMLCite \textit{W. Tan} et al., Nonlinear Dyn. 96, No. 2, 1605--1614 (2019; Zbl 1437.35612) Full Text: DOI
Wang, Chuanjian; Fang, Hui; Tang, Xiuxiu State transition of lump-type waves for the \((2+1)\)-dimensional generalized KdV equation. (English) Zbl 1437.35613 Nonlinear Dyn. 95, No. 4, 2943-2961 (2019). MSC: 35Q53 37K10 37K40 35C08 PDFBibTeX XMLCite \textit{C. Wang} et al., Nonlinear Dyn. 95, No. 4, 2943--2961 (2019; Zbl 1437.35613) Full Text: DOI
Wazwaz, Abdul-Majid Negative-order integrable modified KdV equations of higher orders. (English) Zbl 1398.37086 Nonlinear Dyn. 93, No. 3, 1371-1376 (2018). MSC: 37M10 35Q53 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Nonlinear Dyn. 93, No. 3, 1371--1376 (2018; Zbl 1398.37086) Full Text: DOI
Osman, M. S.; Machado, J. A. T. New nonautonomous combined multi-wave solutions for \((2+1)\)-dimensional variable coefficients KdV equation. (English) Zbl 1398.35102 Nonlinear Dyn. 93, No. 2, 733-740 (2018). MSC: 35K10 35Q53 35C08 PDFBibTeX XMLCite \textit{M. S. Osman} and \textit{J. A. T. Machado}, Nonlinear Dyn. 93, No. 2, 733--740 (2018; Zbl 1398.35102) Full Text: DOI
Huang, Lili; Chen, Yong Nonlocal symmetry and similarity reductions for a \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 1398.35197 Nonlinear Dyn. 92, No. 2, 221-234 (2018). MSC: 35Q53 35B06 PDFBibTeX XMLCite \textit{L. Huang} and \textit{Y. Chen}, Nonlinear Dyn. 92, No. 2, 221--234 (2018; Zbl 1398.35197) Full Text: DOI
Li, Lingfei; Xie, Yingying; Zhu, Shihui New exact solutions for a generalized KdV equation. (English) Zbl 1398.35201 Nonlinear Dyn. 92, No. 2, 215-219 (2018). MSC: 35Q53 37K10 35C08 PDFBibTeX XMLCite \textit{L. Li} et al., Nonlinear Dyn. 92, No. 2, 215--219 (2018; Zbl 1398.35201) Full Text: DOI
Wazwaz, Abdul-Majid Painlevé analysis for a new integrable equation combining the modified Calogero-Bogoyavlenskii-Schiff (MCBS) equation with its negative-order form. (English) Zbl 1390.37117 Nonlinear Dyn. 91, No. 2, 877-883 (2018). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Nonlinear Dyn. 91, No. 2, 877--883 (2018; Zbl 1390.37117) Full Text: DOI
Sahoo, S.; Ray, S. Saha Analysis of Lie symmetries with conservation laws for the (3+1) dimensional time-fractional mKdV-ZK equation in ion-acoustic waves. (English) Zbl 1390.37115 Nonlinear Dyn. 90, No. 2, 1105-1113 (2017). MSC: 37K10 35B06 35Q53 PDFBibTeX XMLCite \textit{S. Sahoo} and \textit{S. S. Ray}, Nonlinear Dyn. 90, No. 2, 1105--1113 (2017; Zbl 1390.37115) Full Text: DOI
Zhao, Bao-Jun; Wang, Ru-Yun; Fang, Qing; Sun, Wen-Jin; Zhan, Tian-Ming Rossby solitary waves excited by the unstable topography in weak shear flow. (English) Zbl 1391.76083 Nonlinear Dyn. 90, No. 2, 889-897 (2017). MSC: 76B25 35C08 37K10 35Q53 PDFBibTeX XMLCite \textit{B.-J. Zhao} et al., Nonlinear Dyn. 90, No. 2, 889--897 (2017; Zbl 1391.76083) Full Text: DOI
Song, Jun-Feng; Hu, Ya-Hong; Ma, Zheng-Yi Bäcklund transformation and CRE solvability for the negative-order modified KdV equation. (English) Zbl 1390.37120 Nonlinear Dyn. 90, No. 1, 575-580 (2017). MSC: 37K35 37K10 35Q53 PDFBibTeX XMLCite \textit{J.-F. Song} et al., Nonlinear Dyn. 90, No. 1, 575--580 (2017; Zbl 1390.37120) Full Text: DOI
Sahoo, S.; Garai, G.; Saha Ray, S. Lie symmetry analysis for similarity reduction and exact solutions of modified KdV-Zakharov-Kuznetsov equation. (English) Zbl 1384.37086 Nonlinear Dyn. 87, No. 3, 1995-2000 (2017). MSC: 37K10 35B06 35Q53 PDFBibTeX XMLCite \textit{S. Sahoo} et al., Nonlinear Dyn. 87, No. 3, 1995--2000 (2017; Zbl 1384.37086) Full Text: DOI
Zhang, Lijun; Khalique, Chaudry Masood Quasi-periodic wave solutions and two-wave solutions of the KdV-Sawada-Kotera-Ramani equation. (English) Zbl 1384.34078 Nonlinear Dyn. 87, No. 3, 1985-1993 (2017). MSC: 34K10 35Q53 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{C. M. Khalique}, Nonlinear Dyn. 87, No. 3, 1985--1993 (2017; Zbl 1384.34078) Full Text: DOI
Yıldırım, Yakup; Yaşar, Emrullah An extended Korteweg-de Vries equation: multi-soliton solutions and conservation laws. (English) Zbl 1380.35139 Nonlinear Dyn. 90, No. 3, 1571-1579 (2017). MSC: 35Q53 37K10 35B06 PDFBibTeX XMLCite \textit{Y. Yıldırım} and \textit{E. Yaşar}, Nonlinear Dyn. 90, No. 3, 1571--1579 (2017; Zbl 1380.35139) Full Text: DOI
Triki, Houria; Ak, Turgut; Ekici, Mehmet; Sonmezoglu, Abdullah; Mirzazadeh, Mohammad; Kara, Abdul Hamid; Aydemir, Tugba Some new exact wave solutions and conservation laws of potential Korteweg-de Vries equation. (English) Zbl 1374.37087 Nonlinear Dyn. 89, No. 1, 501-508 (2017). MSC: 37K10 35Q53 35C08 35C09 PDFBibTeX XMLCite \textit{H. Triki} et al., Nonlinear Dyn. 89, No. 1, 501--508 (2017; Zbl 1374.37087) Full Text: DOI
Zhao, Zhonglong; Han, Bo The Riemann-Bäcklund method to a quasiperiodic wave solvable generalized variable coefficient \((2+1)\)-dimensional KdV equation. (English) Zbl 1373.37165 Nonlinear Dyn. 87, No. 4, 2661-2676 (2017). MSC: 37K35 37K10 35Q53 35C08 34C25 37K40 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{B. Han}, Nonlinear Dyn. 87, No. 4, 2661--2676 (2017; Zbl 1373.37165) Full Text: DOI
Chen, Yiren; Liu, Zhengrong Riemann theta solutions and their asymptotic property for a \((3+1)\)-dimensional water wave equation. (English) Zbl 1372.35272 Nonlinear Dyn. 87, No. 2, 1069-1080 (2017). MSC: 35Q53 76B15 35C08 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Liu}, Nonlinear Dyn. 87, No. 2, 1069--1080 (2017; Zbl 1372.35272) Full Text: DOI
Estévez, P. G.; Lejarreta, J. D.; Sardón, C. Symmetry computation and reduction of a wave model in \(2+1\) dimensions. (English) Zbl 1371.37124 Nonlinear Dyn. 87, No. 1, 13-23 (2017). MSC: 37K10 35C08 35Q53 35B06 PDFBibTeX XMLCite \textit{P. G. Estévez} et al., Nonlinear Dyn. 87, No. 1, 13--23 (2017; Zbl 1371.37124) Full Text: DOI arXiv
Rui, Weiguo Logarithm transformation together with the integral bifurcation method for investigating exact solutions of the CDF equation with mKdV type. (English) Zbl 1371.35258 Nonlinear Dyn. 86, No. 3, 1621-1637 (2016). MSC: 35Q53 35B32 35C07 PDFBibTeX XMLCite \textit{W. Rui}, Nonlinear Dyn. 86, No. 3, 1621--1637 (2016; Zbl 1371.35258) Full Text: DOI
Wazwaz, Abdul-Majid; Xu, Gui-qiong An extended modified KdV equation and its Painlevé integrability. (English) Zbl 1371.35264 Nonlinear Dyn. 86, No. 3, 1455-1460 (2016). MSC: 35Q53 37K10 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{G.-q. Xu}, Nonlinear Dyn. 86, No. 3, 1455--1460 (2016; Zbl 1371.35264) Full Text: DOI
He, Bin; Meng, Qing Three kinds of periodic wave solutions and their limit forms for a modified KdV-type equation. (English) Zbl 1349.35335 Nonlinear Dyn. 86, No. 2, 811-822 (2016). MSC: 35Q53 35B44 35C05 PDFBibTeX XMLCite \textit{B. He} and \textit{Q. Meng}, Nonlinear Dyn. 86, No. 2, 811--822 (2016; Zbl 1349.35335) Full Text: DOI
Guo, Rui; Zhao, Xiao-Juan Discrete Hirota equation: discrete Darboux transformation and new discrete soliton solutions. (English) Zbl 1355.37085 Nonlinear Dyn. 84, No. 4, 1901-1907 (2016). MSC: 37K10 37K30 35Q53 35Q55 39A14 PDFBibTeX XMLCite \textit{R. Guo} and \textit{X.-J. Zhao}, Nonlinear Dyn. 84, No. 4, 1901--1907 (2016; Zbl 1355.37085) Full Text: DOI
Fokou, M.; Kofane, T. C.; Mohamadou, A.; Yomba, E. One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem. (English) Zbl 1353.35249 Nonlinear Dyn. 83, No. 4, 2461-2473 (2016). MSC: 35Q53 76B15 35C08 35B20 PDFBibTeX XMLCite \textit{M. Fokou} et al., Nonlinear Dyn. 83, No. 4, 2461--2473 (2016; Zbl 1353.35249) Full Text: DOI
Wazwaz, Abdul-Majid; El-Tantawy, S. A. A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions. (English) Zbl 1351.37251 Nonlinear Dyn. 83, No. 3, 1529-1534 (2016). MSC: 37K10 35Q53 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{S. A. El-Tantawy}, Nonlinear Dyn. 83, No. 3, 1529--1534 (2016; Zbl 1351.37251) 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
Xu, Ying; Du, Zengji; Wei, Lei Geometric singular perturbation method to the existence and asymptotic behavior of traveling waves for a generalized Burgers-KdV equation. (English) Zbl 1349.37071 Nonlinear Dyn. 83, No. 1-2, 65-73 (2016). MSC: 37K10 35Q53 35C07 35B25 37C29 PDFBibTeX XMLCite \textit{Y. Xu} et al., Nonlinear Dyn. 83, No. 1--2, 65--73 (2016; Zbl 1349.37071) 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
Wang, Yan-Hong; Zhang, Zhi-Ming A two-Lane lattice hydrodynamic model considering multiple information of preceding cars. (English) Zbl 1348.90190 Nonlinear Dyn. 81, No. 4, 1907-1919 (2015). MSC: 90B20 37K10 35Q53 76M28 PDFBibTeX XMLCite \textit{Y.-H. Wang} and \textit{Z.-M. Zhang}, Nonlinear Dyn. 81, No. 4, 1907--1919 (2015; Zbl 1348.90190) Full Text: DOI
Wang, Yun-Po; Tian, Bo; Wang, Ming; Wang, Yu-Feng; Sun, Ya; Xie, Xi-Yang Bäcklund transformations and soliton solutions for a \((2+1)\)-dimensional Korteweg-de Vries-type equation in water waves. (English) Zbl 1348.37108 Nonlinear Dyn. 81, No. 4, 1815-1821 (2015). MSC: 37K10 35Q35 76B15 PDFBibTeX XMLCite \textit{Y.-P. Wang} et al., Nonlinear Dyn. 81, No. 4, 1815--1821 (2015; Zbl 1348.37108) Full Text: DOI
Zhou, Jie; Shi, Zhong-Ke A new lattice hydrodynamic model for bidirectional pedestrian flow with the consideration of pedestrian’s anticipation effect. (English) Zbl 1348.35228 Nonlinear Dyn. 81, No. 3, 1247-1262 (2015). MSC: 35Q53 37K10 76M28 76L05 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{Z.-K. Shi}, Nonlinear Dyn. 81, No. 3, 1247--1262 (2015; Zbl 1348.35228) Full Text: DOI
Younis, Muhammad; Ali, Safdar; Mahmood, Syed Amer Solitons for compound KdV-Burgers equation with variable coefficients and power law nonlinearity. (English) Zbl 1348.35226 Nonlinear Dyn. 81, No. 3, 1191-1196 (2015). MSC: 35Q53 35C08 82D10 PDFBibTeX XMLCite \textit{M. Younis} et al., Nonlinear Dyn. 81, No. 3, 1191--1196 (2015; Zbl 1348.35226) Full Text: DOI
Zhou, Jie; Shi, Zhong-Ke A new lattice hydrodynamic model for bidirectional Pedestrian flow with the consideration of lateral discomfort. (English) Zbl 1348.37110 Nonlinear Dyn. 81, No. 3, 1113-1131 (2015). MSC: 37K10 35Q53 76M28 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{Z.-K. Shi}, Nonlinear Dyn. 81, No. 3, 1113--1131 (2015; Zbl 1348.37110) Full Text: DOI
Tang, Yaning; Zai, Weijian New periodic-wave solutions for (2+1)- and (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equations. (English) Zbl 1431.35159 Nonlinear Dyn. 81, No. 1-2, 249-255 (2015). MSC: 35Q53 35B10 35C08 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{W. Zai}, Nonlinear Dyn. 81, No. 1--2, 249--255 (2015; Zbl 1431.35159) Full Text: DOI
He, Bin; Meng, Qing Explicit kink-like and compacton-like wave solutions for a generalized KdV equation. (English) Zbl 1348.35220 Nonlinear Dyn. 82, No. 1-2, 703-711 (2015). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{B. He} and \textit{Q. Meng}, Nonlinear Dyn. 82, No. 1--2, 703--711 (2015; Zbl 1348.35220) Full Text: DOI
Zhuang, Kaige; Du, Zengji; Lin, Xiaojie Solitary waves solutions of singularly perturbed higher-order KdV equation via geometric singular perturbation method. (English) Zbl 1345.35007 Nonlinear Dyn. 80, No. 1-2, 629-635 (2015). MSC: 35B25 35Q53 37K10 37C29 PDFBibTeX XMLCite \textit{K. Zhuang} et al., Nonlinear Dyn. 80, No. 1--2, 629--635 (2015; Zbl 1345.35007) Full Text: DOI
Huang, Zhi-Ruo; Tian, Bo; Zhen, Hui-Ling; Jiang, Yan; Wang, Yun-po; Sun, Ya Bäcklund transformations and soliton solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics. (English) Zbl 1345.37070 Nonlinear Dyn. 80, No. 1-2, 1-7 (2015). MSC: 37K10 76B15 37N10 35C08 35Q35 35Q53 PDFBibTeX XMLCite \textit{Z.-R. Huang} et al., Nonlinear Dyn. 80, No. 1--2, 1--7 (2015; Zbl 1345.37070) Full Text: DOI
Ma, Lilin; Li, Hong; Ma, Jun Single-peak solitary wave solutions for the generalized Korteweg-de Vries equation. (English) Zbl 1331.35079 Nonlinear Dyn. 79, No. 1, 349-357 (2015). MSC: 35C08 35Q53 PDFBibTeX XMLCite \textit{L. Ma} et al., Nonlinear Dyn. 79, No. 1, 349--357 (2015; Zbl 1331.35079) Full Text: DOI
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. The Cauchy problem for the equation of the Burgers hierarchy. (English) Zbl 1319.35220 Nonlinear Dyn. 76, No. 1, 561-569 (2014). MSC: 35Q53 35A08 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{D. I. Sinelshchikov}, Nonlinear Dyn. 76, No. 1, 561--569 (2014; Zbl 1319.35220) Full Text: DOI
Yang, Hong Wei; Wang, Xiang Rong; Yin, Bao Shu A kind of new algebraic Rossby solitary waves generated by periodic external source. (English) Zbl 1314.76019 Nonlinear Dyn. 76, No. 3, 1725-1735 (2014). MSC: 76B25 35Q53 35B20 PDFBibTeX XMLCite \textit{H. W. Yang} et al., Nonlinear Dyn. 76, No. 3, 1725--1735 (2014; Zbl 1314.76019) Full Text: DOI
Huang, Ying Exact multi-wave solutions for the KdV equation. (English) Zbl 1314.35141 Nonlinear Dyn. 77, No. 3, 437-444 (2014). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{Y. Huang}, Nonlinear Dyn. 77, No. 3, 437--444 (2014; Zbl 1314.35141) Full Text: DOI
Rui, Weiguo The integral bifurcation method combined with factoring technique for investigating exact solutions and their dynamical properties of a generalized Gardner equation. (English) Zbl 1306.35114 Nonlinear Dyn. 76, No. 2, 1529-1542 (2014). MSC: 35Q53 35B32 35C08 PDFBibTeX XMLCite \textit{W. Rui}, Nonlinear Dyn. 76, No. 2, 1529--1542 (2014; Zbl 1306.35114) Full Text: DOI
Wang, Tao; Gao, Ziyou; Zhang, Jing; Zhao, Xiaomei A new lattice hydrodynamic model for two-lane traffic with the consideration of density difference effect. (English) Zbl 1281.90018 Nonlinear Dyn. 75, No. 1-2, 27-34 (2014). MSC: 90B20 35Q53 35B35 PDFBibTeX XMLCite \textit{T. Wang} et al., Nonlinear Dyn. 75, No. 1--2, 27--34 (2014; Zbl 1281.90018) Full Text: DOI
Gupta, R. K.; Bansal, Anupma Similarity reductions and exact solutions of generalized Bretherton equation with time-dependent coefficients. (English) Zbl 1268.35007 Nonlinear Dyn. 71, No. 1-2, 1-12 (2013). MSC: 35B06 37K10 35Q53 PDFBibTeX XMLCite \textit{R. K. Gupta} and \textit{A. Bansal}, Nonlinear Dyn. 71, No. 1--2, 1--12 (2013; Zbl 1268.35007) Full Text: DOI
Smaoui, N.; El-Kadri, A.; Zribi, M. Adaptive boundary control of the unforced generalized Korteweg-de Vries-Burgers equation. (English) Zbl 1253.35155 Nonlinear Dyn. 69, No. 3, 1237-1253 (2012). MSC: 35Q53 35Q93 93C40 PDFBibTeX XMLCite \textit{N. Smaoui} et al., Nonlinear Dyn. 69, No. 3, 1237--1253 (2012; Zbl 1253.35155) Full Text: DOI
Zhang, Yi; Song, Yang; Cheng, Li; Ge, Jian-Ya; Wei, Wei-Wei Exact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equation. (English) Zbl 1254.35206 Nonlinear Dyn. 68, No. 4, 445-458 (2012). MSC: 35Q53 35B10 35B40 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Nonlinear Dyn. 68, No. 4, 445--458 (2012; Zbl 1254.35206) Full Text: DOI
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. (English) Zbl 1356.35212 Nonlinear Dyn. 67, No. 2, 1023-1030 (2012). MSC: 35Q53 35-04 35C08 PDFBibTeX XMLCite \textit{X. Yu} et al., Nonlinear Dyn. 67, No. 2, 1023--1030 (2012; Zbl 1356.35212) Full Text: DOI
Liu, Ying; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves. (English) Zbl 1356.35205 Nonlinear Dyn. 66, No. 4, 575-587 (2011). MSC: 35Q53 35Q35 35C08 76B25 PDFBibTeX XMLCite \textit{Y. Liu} et al., Nonlinear Dyn. 66, No. 4, 575--587 (2011; Zbl 1356.35205) Full Text: DOI
El-Wakil, S. A.; Abulwafa, E. M.; Zahran, M. A.; Mahmoud, A. A. Time-fractional KdV equation: Formulation and solution using variational methods. (English) Zbl 1234.35219 Nonlinear Dyn. 65, No. 1-2, 55-63 (2011). MSC: 35Q53 35R11 35C08 35A15 PDFBibTeX XMLCite \textit{S. A. El-Wakil} et al., Nonlinear Dyn. 65, No. 1--2, 55--63 (2011; Zbl 1234.35219) Full Text: DOI arXiv
Smaoui, Nejib; El-Kadri, Alaa; Zribi, Mohamed Nonlinear boundary control of the unforced generalized Korteweg-de Vries-Burgers equation. (English) Zbl 1194.35389 Nonlinear Dyn. 60, No. 4, 561-574 (2010). MSC: 35Q53 35B35 65M60 PDFBibTeX XMLCite \textit{N. Smaoui} et al., Nonlinear Dyn. 60, No. 4, 561--574 (2010; Zbl 1194.35389) Full Text: DOI
Sakthivel, Rathinasamy Robust stabilization the Korteweg-de Vries-Burgers equation by boundary control. (English) Zbl 1183.76660 Nonlinear Dyn. 58, No. 4, 739-744 (2009). MSC: 76B75 76B25 93C20 PDFBibTeX XMLCite \textit{R. Sakthivel}, Nonlinear Dyn. 58, No. 4, 739--744 (2009; Zbl 1183.76660) Full Text: DOI
Yaşar, Emrullah Variational principles and conservation laws to the Burridge-Knopoff equation. (English) Zbl 1173.35667 Nonlinear Dyn. 54, No. 4, 307-312 (2008). MSC: 35Q53 86A17 37K05 37K30 PDFBibTeX XMLCite \textit{E. Yaşar}, Nonlinear Dyn. 54, No. 4, 307--312 (2008; Zbl 1173.35667) Full Text: DOI
Abbasbandy, S. Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method. (English) Zbl 1173.35646 Nonlinear Dyn. 52, No. 1-2, 35-40 (2008). MSC: 35Q53 35C10 35A35 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Nonlinear Dyn. 52, No. 1--2, 35--40 (2008; Zbl 1173.35646) Full Text: DOI
Zhang, Sheng Exact solutions of a KdV equation with variable coefficients via Exp-function method. (English) Zbl 1173.35670 Nonlinear Dyn. 52, No. 1-2, 11-17 (2008). MSC: 35Q53 68W30 35-04 35C05 35Q51 35B10 PDFBibTeX XMLCite \textit{S. Zhang}, Nonlinear Dyn. 52, No. 1--2, 11--17 (2008; Zbl 1173.35670) Full Text: DOI
Smaoui, Nejib; Al-Jamal, Rasha H. Boundary control of the generalized Korteweg-de Vries-Burgers equation. (English) Zbl 1170.93018 Nonlinear Dyn. 51, No. 3, 439-446 (2008). MSC: 93C20 35Q53 93D20 PDFBibTeX XMLCite \textit{N. Smaoui} and \textit{R. H. Al-Jamal}, Nonlinear Dyn. 51, No. 3, 439--446 (2008; Zbl 1170.93018) Full Text: DOI
Lychagin, Valentin; Lychagina, Olga Finite-dimensional dynamics for evolutionary equations. (English) Zbl 1181.35244 Nonlinear Dyn. 48, No. 1-2, 29-48 (2007). MSC: 35Q53 35Q55 35C05 35A24 37K05 PDFBibTeX XMLCite \textit{V. Lychagin} and \textit{O. Lychagina}, Nonlinear Dyn. 48, No. 1--2, 29--48 (2007; Zbl 1181.35244) Full Text: DOI
Ibragimov, N. H.; Kolsrud, T. Lagrangian approach to evolution equations: symmetries and conservation laws. (English) Zbl 1106.70012 Nonlinear Dyn. 36, No. 1, 29-40 (2004). Reviewer: Jesús Marín-Solano (Barcelona) MSC: 70H33 70G65 35Q53 35Q55 PDFBibTeX XMLCite \textit{N. H. Ibragimov} and \textit{T. Kolsrud}, Nonlinear Dyn. 36, No. 1, 29--40 (2004; Zbl 1106.70012) Full Text: DOI
Güngör, F.; Winternitz, P. Equivalence classes and symmetries of the variable coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1059.35117 Nonlinear Dyn. 35, No. 4, 381-396 (2004). MSC: 35Q53 37K30 37K05 PDFBibTeX XMLCite \textit{F. Güngör} and \textit{P. Winternitz}, Nonlinear Dyn. 35, No. 4, 381--396 (2004; Zbl 1059.35117) Full Text: DOI
Johnpillai, A. G.; Kara, A. H. Nonclassical potential symmetry generators of differential equations. (English) Zbl 1013.35071 Nonlinear Dyn. 30, No. 2, 167-177 (2002). MSC: 35Q51 37K05 PDFBibTeX XMLCite \textit{A. G. Johnpillai} and \textit{A. H. Kara}, Nonlinear Dyn. 30, No. 2, 167--177 (2002; Zbl 1013.35071) Full Text: DOI
Dorodnitsyn, V.; Winternitz, P. Lie point symmetry preserving discretizations for variable coefficient Korteweg-de Vries equations. (English) Zbl 0956.65081 Nonlinear Dyn. 22, No. 1, 49-59 (2000). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M06 35Q53 76B15 76M20 PDFBibTeX XMLCite \textit{V. Dorodnitsyn} and \textit{P. Winternitz}, Nonlinear Dyn. 22, No. 1, 49--59 (2000; Zbl 0956.65081) Full Text: DOI