Lin, Shuning; Chen, Yong Gradient-enhanced physics-informed neural networks based on transfer learning for inverse problems of the variable coefficient differential equations. (English) Zbl 07814534 Physica D 459, Article ID 134023, 21 p. (2024). MSC: 35Q55 35Q41 35R30 35C08 68T07 78A60 76U65 65K10 65M99 35R60 PDFBibTeX XMLCite \textit{S. Lin} and \textit{Y. Chen}, Physica D 459, Article ID 134023, 21 p. (2024; Zbl 07814534) Full Text: DOI arXiv
Wang, Ming; He, Guo-Liang Soliton solutions and collisions for the multicomponent Gross-Pitaevskii equation in spinor Bose-Einstein condensates. (English) Zbl 1459.35345 Math. Probl. Eng. 2020, Article ID 4632434, 11 p. (2020). MSC: 35Q55 35Q51 82C10 PDFBibTeX XMLCite \textit{M. Wang} and \textit{G.-L. He}, Math. Probl. Eng. 2020, Article ID 4632434, 11 p. (2020; Zbl 1459.35345) Full Text: DOI
Huang, Qian-Min Integrability and dark soliton solutions for a high-order variable coefficients nonlinear Schrödinger equation. (English) Zbl 1412.35053 Appl. Math. Lett. 93, 29-33 (2019). MSC: 35C08 35Q55 35Q60 PDFBibTeX XMLCite \textit{Q.-M. Huang}, Appl. Math. Lett. 93, 29--33 (2019; Zbl 1412.35053) Full Text: DOI
Wang, Yong-Yan; Su, Chuan-Qi; Liu, Xue-Qing; Li, Jian-Guang Nonautonomous solitons for an extended forced Korteweg-de Vries equation with variable coefficients in the fluid or plasma. (English) Zbl 07583364 Waves Random Complex Media 28, No. 3, 411-425 (2018). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{Y.-Y. Wang} et al., Waves Random Complex Media 28, No. 3, 411--425 (2018; Zbl 07583364) Full Text: DOI
Wang, Yong; Deng, Jiahao Explicit solutions and conservation laws of the logarithmic-KP equation. (English) Zbl 1419.37065 Adv. Difference Equ. 2016, Paper No. 229, 11 p. (2016). MSC: 37K10 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. Deng}, Adv. Difference Equ. 2016, Paper No. 229, 11 p. (2016; Zbl 1419.37065) Full Text: DOI
Sun, Ya; Tian, Bo; Wang, Yu-Feng; Zhen, Hui-Ling Bäcklund transformation and \(N\)-shock-wave solutions for a (3+1)-dimensional nonlinear evolution equation. (English) Zbl 1354.37071 Nonlinear Dyn. 84, No. 2, 851-861 (2016). MSC: 37K35 37K10 76L05 PDFBibTeX XMLCite \textit{Y. Sun} et al., Nonlinear Dyn. 84, No. 2, 851--861 (2016; Zbl 1354.37071) Full Text: DOI
Huang, Zhi-Ruo; Tian, Bo; Wang, Yun-Po; Sun, Ya Bright soliton solutions and collisions for a \((3+1)\)-dimensional coupled nonlinear Schrödinger system in optical-fiber communication. (English) Zbl 1443.35019 Comput. Math. Appl. 69, No. 12, 1383-1389 (2015). MSC: 35C08 35Q55 37K40 PDFBibTeX XMLCite \textit{Z.-R. Huang} et al., Comput. Math. Appl. 69, No. 12, 1383--1389 (2015; Zbl 1443.35019) Full Text: DOI
Li, He; Gao, Yi-Tian Bilinear form and two Bäcklund transformations for the \((3+1)\)-dimensional Jimbo-Miwa equation. (English) Zbl 1433.35342 Abstr. Appl. Anal. 2015, Article ID 834521, 5 p. (2015). MSC: 35Q53 35A30 37K35 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y.-T. Gao}, Abstr. Appl. Anal. 2015, Article ID 834521, 5 p. (2015; Zbl 1433.35342) Full Text: DOI
Zayed, E. M. E.; Alurrfi, K. A. E. On solving two higher-order nonlinear PDEs describing the propagation of optical pulses in optic fibers using the \((\frac{G^\prime}{G},\frac{1}{G})\)-expansion method. (English) Zbl 1329.35296 Ric. Mat. 64, No. 1, 167-194 (2015). MSC: 35Q55 35C05 35C08 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{K. A. E. Alurrfi}, Ric. Mat. 64, No. 1, 167--194 (2015; Zbl 1329.35296) Full Text: DOI
Wang, Yu-Feng; Tian, Bo; Li, Min; Wang, Pan; Wang, Ming Integrability and soliton-like solutions for the coupled higher-order nonlinear Schrödinger equations with variable coefficients in inhomogeneous optical fibers. (English) Zbl 1457.81038 Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1783-1791 (2014). MSC: 81Q05 35C08 35Q55 37K35 PDFBibTeX XMLCite \textit{Y.-F. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1783--1791 (2014; Zbl 1457.81038) Full Text: DOI
Qi, Feng-Hua; Ju, Hong-Mei; Meng, Xiang-Hua; Li, Juan Conservation laws and Darboux transformation for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in nonlinear optics. (English) Zbl 1331.78022 Nonlinear Dyn. 77, No. 4, 1331-1337 (2014). MSC: 78A60 35Q55 37K10 35C08 PDFBibTeX XMLCite \textit{F.-H. Qi} et al., Nonlinear Dyn. 77, No. 4, 1331--1337 (2014; Zbl 1331.78022) Full Text: DOI
Zhen, Hui-Ling; Tian, Bo; Li, Min; Jiang, Yan; Wang, Ming Dynamics of the generalized \((3 + 1)\)-dimensional nonlinear Schrdinger equation in cosmic plasmas. (English) Zbl 1313.35331 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 3, 503-503 (2014); translation in Comput. Math. Math. Phys. 54, No. 3, 512-521 (2014). MSC: 35Q55 PDFBibTeX XMLCite \textit{H.-L. Zhen} et al., Zh. Vychisl. Mat. Mat. Fiz. 54, No. 3, 503--503 (2014; Zbl 1313.35331); translation in Comput. Math. Math. Phys. 54, No. 3, 512--521 (2014) Full Text: DOI
Samet, H. Chachou; Benarous, M.; Asad-Uz-Zaman, M.; Khawaja, U. Al Effect of third-order dispersion on the solitonic solutions of the Schrödinger equations with cubic nonlinearity. (English) Zbl 1308.35281 Adv. Math. Phys. 2014, Article ID 323591, 6 p. (2014). MSC: 35Q55 35C08 35Q51 81V80 37K35 PDFBibTeX XMLCite \textit{H. C. Samet} et al., Adv. Math. Phys. 2014, Article ID 323591, 6 p. (2014; Zbl 1308.35281) Full Text: DOI
Wang, Ming; Tian, Bo; Li, Min; Shan, Wen-Rui Integrability and soliton solutions for an \(N\)-coupled nonlinear Schrödinger system in optical fibers. (English) Zbl 1395.35177 Physica A 392, No. 19, 4532-4542 (2013). MSC: 35Q55 35Q60 35C08 78A60 82B10 82D10 PDFBibTeX XMLCite \textit{M. Wang} et al., Physica A 392, No. 19, 4532--4542 (2013; Zbl 1395.35177) Full Text: DOI
Wang, Ming; Shan, Wen-Rui; Lü, Xing; Xue, Yu-Shan; Lin, Zhi-Qiang; Tian, Bo Soliton collision in a general coupled nonlinear Schrödinger system via symbolic computation. (English) Zbl 1311.35299 Appl. Math. Comput. 219, No. 24, 11258-11264 (2013). MSC: 35Q55 68W30 35C08 78A60 37K10 PDFBibTeX XMLCite \textit{M. Wang} et al., Appl. Math. Comput. 219, No. 24, 11258--11264 (2013; Zbl 1311.35299) Full Text: DOI
Wang, Yu-Feng; Tian, Bo; Wang, Ming Bell-polynomial approach and integrability for the coupled Gross-Pitaevskii equations in Bose-Einstein condensates. (English) Zbl 1338.37095 Stud. Appl. Math. 131, No. 2, 119-134 (2013). MSC: 37K10 35C08 37N20 37M05 PDFBibTeX XMLCite \textit{Y.-F. Wang} et al., Stud. Appl. Math. 131, No. 2, 119--134 (2013; Zbl 1338.37095) Full Text: DOI
Jiang, Yan; Tian, Bo; Li, Min; Wang, Pan Bilinear form and \(N\)-shock-wave solutions for a (2+1)-dimensional breaking soliton equation in certain fluids with the Bell polynomials and auxiliary function. (English) Zbl 1277.35298 Stud. Appl. Math. 131, No. 4, 331-342 (2013). MSC: 35Q51 35Q53 46B25 35Q35 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Stud. Appl. Math. 131, No. 4, 331--342 (2013; Zbl 1277.35298) Full Text: DOI
Zhen, Hui-Ling; Tian, Bo; Wang, Pan; Liu, Rong-Xiang; Zhong, Hui Soliton interaction of the Zakharov–Kuznetsov equations in plasma dynamics. (English) Zbl 1267.35081 Int. J. Mod. Phys. B 27, No. 9, Article ID 1350029 (2013). MSC: 35C08 82D10 PDFBibTeX XMLCite \textit{H.-L. Zhen} et al., Int. J. Mod. Phys. B 27, No. 9, Article ID 1350029 (2013; Zbl 1267.35081) Full Text: DOI
Wang, M.; Tian, B.; Qi, F.-H.; Qin, B.; Lin, Z.-Q. Soliton interactions for a Hirota-Maxwell-Bloch system in the inhomogeneous erbium-doped fiber. (English) Zbl 1274.78085 Int. J. Mod. Phys. B 26, No. 24, Article ID 1250115, 14 p. (2012). MSC: 78A60 78A50 35C08 PDFBibTeX XMLCite \textit{M. Wang} et al., Int. J. Mod. Phys. B 26, No. 24, Article ID 1250115, 14 p. (2012; Zbl 1274.78085) Full Text: DOI
Wang, Yu-Feng; Tian, Bo; Wang, Pan; Li, Min; Jiang, Yan Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation. (English) Zbl 1263.35177 Nonlinear Dyn. 69, No. 4, 2031-2040 (2012). MSC: 35Q30 35Q40 35C08 33B10 PDFBibTeX XMLCite \textit{Y.-F. Wang} et al., Nonlinear Dyn. 69, No. 4, 2031--2040 (2012; Zbl 1263.35177) Full Text: DOI
Li, He; Meng, Xiang-Hua; Tian, Bo Bilinear form and soliton solutions for the coupled nonlinear Klein-Gordon equations. (English) Zbl 1260.35206 Int. J. Mod. Phys. B 26, No. 15, Article ID 1250057, 10 p. (2012). MSC: 35Q55 35C08 33E17 PDFBibTeX XMLCite \textit{H. Li} et al., Int. J. Mod. Phys. B 26, No. 15, Article ID 1250057, 10 p. (2012; Zbl 1260.35206) 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
Sun, Kun; Tian, Bo; Liu, Wen-Jun; Jiang, Yan; Qu, Qi-Xing; Wang, Pan Soliton dynamics and interaction in the Bose-Einstein condensates with harmonic trapping potential and time-varying interatomic interaction. (English) Zbl 1243.82013 Nonlinear Dyn. 67, No. 1, 165-175 (2012). MSC: 82B10 35Q55 37K40 35C08 82C22 68W30 PDFBibTeX XMLCite \textit{K. Sun} et al., Nonlinear Dyn. 67, No. 1, 165--175 (2012; Zbl 1243.82013) Full Text: DOI
Li, Hong-Zhe; Tian, Bo; Guo, Rui; Xue, Yu-Shan; Qi, Feng-Hua Gauge transformation between the first-order nonisospectral and isospectral Heisenberg hierarchies. (English) Zbl 1253.35008 Appl. Math. Comput. 218, No. 15, 7694-7699 (2012). MSC: 35A30 68W30 PDFBibTeX XMLCite \textit{H.-Z. Li} et al., Appl. Math. Comput. 218, No. 15, 7694--7699 (2012; Zbl 1253.35008) Full Text: DOI
Qi, Feng-Hua; Tian, Bo; Xu, Tao; Zhang, Hai-Qiang; Li, Li-Li; Meng, Xiang-Hua; Lü, Xing; Liu, Wen-Jun Painlevé analysis, Lax pair and Bäcklund transformation for the Gross-Pitaevskii equation in the Bose-Einstein condensates. (English) Zbl 1333.82016 Int. J. Mod. Phys. B 25, No. 8, 1037-1047 (2011). MSC: 82C26 81Q05 35Q55 37K35 68W30 PDFBibTeX XMLCite \textit{F.-H. Qi} et al., Int. J. Mod. Phys. B 25, No. 8, 1037--1047 (2011; Zbl 1333.82016) Full Text: DOI
Qin, Bo; Tian, Bo; Liu, Li-Cai; Wang, Ming; Lin, Zhi-Qiang; Liu, Wen-Jun Bell-polynomial approach and \(N\)-soliton solution for the extended Lotka-Volterra equation in plasmas. (English) Zbl 1316.76116 J. Math. Phys. 52, No. 4, 043523, 16 p. (2011). MSC: 76X05 39A12 37K35 35C08 76F20 PDFBibTeX XMLCite \textit{B. Qin} et al., J. Math. Phys. 52, No. 4, 043523, 16 p. (2011; Zbl 1316.76116) Full Text: DOI
Wang, Lei; Gao, Yi-Tian; Meng, De-Xin; Gai, Xiao-Ling; Xu, Peng-Bo Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water. (English) Zbl 1392.35269 Nonlinear Dyn. 66, No. 1-2, 161-168 (2011). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{L. Wang} et al., Nonlinear Dyn. 66, No. 1--2, 161--168 (2011; Zbl 1392.35269) Full Text: DOI
Wen, Xiao-Yong; Gao, Yi-Tian; Wang, Lei Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves. (English) Zbl 1231.35217 Appl. Math. Comput. 218, No. 1, 55-60 (2011). MSC: 35Q53 35A22 74J30 68W30 PDFBibTeX XMLCite \textit{X.-Y. Wen} et al., Appl. Math. Comput. 218, No. 1, 55--60 (2011; Zbl 1231.35217) Full Text: DOI
Wang, Pan; Tian, Bo; Liu, Wen-Jun; Lü, Xing; Jiang, Yan Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves. (English) Zbl 1433.35302 Appl. Math. Comput. 218, No. 5, 1726-1734 (2011). MSC: 35Q35 35C08 37K35 PDFBibTeX XMLCite \textit{P. Wang} et al., Appl. Math. Comput. 218, No. 5, 1726--1734 (2011; Zbl 1433.35302) Full Text: DOI
Liang, Yueqian; Wei, Guangmei; Li, Xiaonan New variable separation solutions and nonlinear phenomena for the \((2+1)\)-dimensional modified Korteweg-de Vries equation. (English) Zbl 1221.35351 Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 603-609 (2011). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{Y. Liang} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 603--609 (2011; Zbl 1221.35351) Full Text: DOI
Feng, Qian; Gao, Yi-Tian; Meng, Xiang-Hua; Yu, Xin; Sun, Zhi-Yuan; Xu, Tao; Tian, Bo N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. (English) Zbl 1218.35207 Int. J. Mod. Phys. B 25, No. 5, 723-733 (2011). MSC: 35Q53 35Q51 37K35 PDFBibTeX XMLCite \textit{Q. Feng} et al., Int. J. Mod. Phys. B 25, No. 5, 723--733 (2011; Zbl 1218.35207) Full Text: DOI
Meng, Xiang-Hua; Sun, Zhi-Yuan; Zhang, Chun-Yi; Tian, Bo Analytic dark soliton solutions for a generalized variable-coefficient higher-order nonlinear Schrödinger equation in optical fibers using symbolic computation. (English) Zbl 1218.78117 Int. J. Mod. Phys. B 25, No. 4, 499-509 (2011). MSC: 78A60 35Q55 37K40 68W30 PDFBibTeX XMLCite \textit{X.-H. Meng} et al., Int. J. Mod. Phys. B 25, No. 4, 499--509 (2011; Zbl 1218.78117) Full Text: DOI
Xu, Tao; Tian, Bo An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation. (English) Zbl 1309.35146 J. Math. Phys. 51, No. 3, 033504, 21 p. (2010). MSC: 35Q55 35C08 35B40 78A45 82D20 PDFBibTeX XMLCite \textit{T. Xu} and \textit{B. Tian}, J. Math. Phys. 51, No. 3, 033504, 21 p. (2010; Zbl 1309.35146) Full Text: DOI
Li, Min; Tian, Bo; Liu, Wen-Jun; Zhang, Hai-Qiang; Meng, Xiang-Hua Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers. (English) Zbl 1215.78014 Nonlinear Dyn. 62, No. 4, 919-929 (2010). MSC: 78A60 35Q55 35Q51 PDFBibTeX XMLCite \textit{M. Li} et al., Nonlinear Dyn. 62, No. 4, 919--929 (2010; Zbl 1215.78014) Full Text: DOI
Zhang, Cheng; Tian, Bo; Li, Li-Li; Xu, Tao Analytic analysis on a generalized (2+1)-dimensional variable-coefficient Korteweg-de Vries equation using symbolic computation. (English) Zbl 1218.37105 Int. J. Mod. Phys. B 24, No. 27, 5359-5370 (2010). Reviewer: Thomas Ernst (Uppsala) MSC: 37K35 35Q53 37K40 68W30 PDFBibTeX XMLCite \textit{C. Zhang} et al., Int. J. Mod. Phys. B 24, No. 27, 5359--5370 (2010; Zbl 1218.37105) Full Text: DOI
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
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
Cai, Ke-Jie; Zhang, Cheng; Xu, Tao; Zhang, Huan; Tian, Bo Modified exp-function method and variable-coefficient Korteweg-de Vries model from Bose-Einstein condensates. (English) Zbl 1203.82009 Int. J. Mod. Phys. B 24, No. 19, 3759-3768 (2010). MSC: 82B10 35Q53 37K40 PDFBibTeX XMLCite \textit{K.-J. Cai} et al., Int. J. Mod. Phys. B 24, No. 19, 3759--3768 (2010; Zbl 1203.82009) Full Text: DOI
Liu, Wen-Jun; Tian, Bo; Jian, Yan; Sun, Kun; Qu, Qi-Xing; Li, Min; Wang, Pan Bright and dark solitons in the normal dispersion regime of inhomogeneous optical fibers. (English) Zbl 1204.78025 J. Mod. Opt. 57, No. 16, 1498-1503 (2010). MSC: 78A60 35Q55 37K40 PDFBibTeX XMLCite \textit{W.-J. Liu} et al., J. Mod. Opt. 57, No. 16, 1498--1503 (2010; Zbl 1204.78025) Full Text: DOI
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Yu, Xin; Sun, Zhi-Yuan Vandermonde-type odd-soliton solutions for the Whitham-Broer-Kaup model in the shallow water small-amplitude regime. (English) Zbl 1200.35274 J. Nonlinear Math. Phys. 17, No. 2, 197-211 (2010). MSC: 35Q53 35Q35 37K35 76B15 35C08 35-04 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Nonlinear Math. Phys. 17, No. 2, 197--211 (2010; Zbl 1200.35274) Full Text: DOI
Zhu, Shunhui; Gao, Yitian; Yu, Xin; Sun, Zhiyuan; Gai, Xiaoling; Meng, Dexin Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. (English) Zbl 1277.35310 Appl. Math. Comput. 217, No. 1, 295-307 (2010). MSC: 35Q53 35C08 35Q35 PDFBibTeX XMLCite \textit{S. Zhu} et al., Appl. Math. Comput. 217, No. 1, 295--307 (2010; Zbl 1277.35310) Full Text: DOI
Liu, Wen-Jun; Tian, Bo; Wang, Pan; Jiang, Yan; Sun, Kun; Li, Min; Qu, Qi-Xing A new approach to the analytic soliton solutions for the variable-coefficient higher-order nonlinear Schrödinger model in inhomogeneous optical fibers. (English) Zbl 1194.78043 J. Mod. Opt. 57, No. 4, 309-315 (2010). MSC: 78A60 35Q55 37K40 PDFBibTeX XMLCite \textit{W.-J. Liu} et al., J. Mod. Opt. 57, No. 4, 309--315 (2010; Zbl 1194.78043) Full Text: DOI
Tiofack, C. G. Latchio; Mohamadou, Alidou; Kofané, Timoléon C.; Porsezian, K. Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations. (English) Zbl 1194.78045 J. Mod. Opt. 57, No. 4, 261-272 (2010). MSC: 78A60 37K35 35Q55 35Q51 78A50 PDFBibTeX XMLCite \textit{C. G. L. Tiofack} et al., J. Mod. Opt. 57, No. 4, 261--272 (2010; Zbl 1194.78045) 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
Xu, Tao; Zhang, Haiqiang; Zhang, Yaxing; Li, Juan; Feng, Qian; Tian, Bo Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation. (English) Zbl 1153.81450 J. Math. Phys. 49, No. 1, 013501, 19 p. (2008). MSC: 35Q53 35Q51 37K40 PDFBibTeX XMLCite \textit{T. Xu} et al., J. Math. Phys. 49, No. 1, 013501, 19 p. (2008; Zbl 1153.81450) Full Text: DOI arXiv
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