Zhu, Shundong; Yin, Shanshan; Li, Xin Degenerate soliton and breather solutions of the modified Korteweg-de Vries-Sine Gordon equation. (English) Zbl 07523672 Appl. Math. Lett. 131, Article ID 108070, 8 p. (2022). MSC: 35C08 35Q53 PDF BibTeX XML Cite \textit{S. Zhu} et al., Appl. Math. Lett. 131, Article ID 108070, 8 p. (2022; Zbl 07523672) Full Text: DOI OpenURL
Sheng, Han-Han; Yu, Guo-Fu Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system. (English) Zbl 1484.35132 Physica D 432, Article ID 133140, 19 p. (2022). MSC: 35C08 35G25 PDF BibTeX XML Cite \textit{H.-H. Sheng} and \textit{G.-F. Yu}, Physica D 432, Article ID 133140, 19 p. (2022; Zbl 1484.35132) Full Text: DOI OpenURL
He, Bin; Meng, Qing Lump and interaction solutions for a generalized \((3 + 1)\)-dimensional propagation model of nonlinear waves in fluid dynamics. (English) Zbl 1479.35720 Int. J. Comput. Math. 98, No. 3, 592-607 (2021). MSC: 35Q51 35Q53 74J30 PDF BibTeX XML Cite \textit{B. He} and \textit{Q. Meng}, Int. J. Comput. Math. 98, No. 3, 592--607 (2021; Zbl 1479.35720) Full Text: DOI OpenURL
Chen, Guiying; Xin, Xiangpeng; Zhang, Feng The soliton solutions and long-time asymptotic analysis for an integrable variable coefficient nonlocal nonlinear Schrödinger equation. (English) Zbl 1483.35200 Adv. Math. Phys. 2021, Article ID 5570788, 6 p. (2021). MSC: 35Q55 35C08 35B40 35B10 37K10 PDF BibTeX XML Cite \textit{G. Chen} et al., Adv. Math. Phys. 2021, Article ID 5570788, 6 p. (2021; Zbl 1483.35200) Full Text: DOI OpenURL
Shi, Changyan; Fu, Heming; Wu, Chengfa Soliton solutions to the reverse-time nonlocal Davey-Stewartson III equation. (English) Zbl 07428506 Wave Motion 104, Article ID 102744, 18 p. (2021). MSC: 35-XX 37-XX PDF BibTeX XML Cite \textit{C. Shi} et al., Wave Motion 104, Article ID 102744, 18 p. (2021; Zbl 07428506) Full Text: DOI OpenURL
Tan, Wei; Yin, Zhao-Yang The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations. (English) Zbl 07412246 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 3-4, 409-417 (2021). MSC: 35-XX 34-XX PDF BibTeX XML Cite \textit{W. Tan} and \textit{Z.-Y. Yin}, Int. J. Nonlinear Sci. Numer. Simul. 22, No. 3--4, 409--417 (2021; Zbl 07412246) Full Text: DOI OpenURL
Rao, Jiguang; Fokas, Athanassios S.; He, Jingsong Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. (English) Zbl 1472.35089 J. Nonlinear Sci. 31, No. 4, Paper No. 67, 44 p. (2021). MSC: 35C08 35C11 35F10 35Q55 PDF BibTeX XML Cite \textit{J. Rao} et al., J. Nonlinear Sci. 31, No. 4, Paper No. 67, 44 p. (2021; Zbl 1472.35089) Full Text: DOI OpenURL
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi On general solitons in the parity-time-symmetric defocusing nonlinear Schrödinger equation. (English) Zbl 1466.35332 Z. Angew. Math. Phys. 72, No. 2, Paper No. 65, 27 p. (2021). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 35F10 35C08 35B10 PDF BibTeX XML Cite \textit{J. Rao} et al., Z. Angew. Math. Phys. 72, No. 2, Paper No. 65, 27 p. (2021; Zbl 1466.35332) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Yao} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105820, 11 p. (2021; Zbl 1467.37066) Full Text: DOI arXiv OpenURL
Kumar, Dipankar; Kuo, Chun-Ku; Paul, Gour Chandra; Saha, Jui; Jahan, Israt Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation. (English) Zbl 1468.35036 Commun. Nonlinear Sci. Numer. Simul. 100, Article ID 105853, 15 p. (2021). MSC: 35G25 33F10 35C08 68W30 PDF BibTeX XML Cite \textit{D. Kumar} et al., Commun. Nonlinear Sci. Numer. Simul. 100, Article ID 105853, 15 p. (2021; Zbl 1468.35036) Full Text: DOI OpenURL
Hosseini, K.; Mirzazadeh, M.; Aligoli, M.; Eslami, M.; Liu, J. G. Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation. (English) Zbl 1469.37049 Math. Model. Nat. Phenom. 15, Paper No. 61, 12 p. (2020). MSC: 37K10 37K40 35C07 35Q35 PDF BibTeX XML Cite \textit{K. Hosseini} et al., Math. Model. Nat. Phenom. 15, Paper No. 61, 12 p. (2020; Zbl 1469.37049) Full Text: DOI OpenURL
Ma, Hong-Cai; Wu, Han-Fang; Deng, Ai-Ping Novel interaction phenomena of localised waves in the \((2 + 1)\)-dimensional HSI equation. (English) Zbl 1464.35302 East Asian J. Appl. Math. 10, No. 3, 485-498 (2020). MSC: 35Q53 35Q51 35C08 68W30 74J35 PDF BibTeX XML Cite \textit{H.-C. Ma} et al., East Asian J. Appl. Math. 10, No. 3, 485--498 (2020; Zbl 1464.35302) Full Text: DOI OpenURL
Li, Ming; Fu, Heming; Wu, Chengfa General soliton and (semi-)rational solutions to the nonlocal Mel’nikov equation on the periodic background. (English) Zbl 1454.37066 Stud. Appl. Math. 145, No. 1, 97-136 (2020). MSC: 37K10 37K40 35C08 PDF BibTeX XML Cite \textit{M. Li} et al., Stud. Appl. Math. 145, No. 1, 97--136 (2020; Zbl 1454.37066) Full Text: DOI OpenURL
Liu, Jian-Guo; Ye, Qing Exact periodic cross-kink wave solutions for the \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 1452.35062 Anal. Math. Phys. 10, No. 4, Paper No. 54, 9 p. (2020). MSC: 35C08 35B10 35Q55 33F10 68W30 PDF BibTeX XML Cite \textit{J.-G. Liu} and \textit{Q. Ye}, Anal. Math. Phys. 10, No. 4, Paper No. 54, 9 p. (2020; Zbl 1452.35062) Full Text: DOI OpenURL
Chen, Junchao; Yan, Qixiu; Zhang, Hao Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation. (English) Zbl 1439.35122 Appl. Math. Lett. 106, Article ID 106375, 6 p. (2020). MSC: 35C08 35Q55 PDF BibTeX XML Cite \textit{J. Chen} et al., Appl. Math. Lett. 106, Article ID 106375, 6 p. (2020; Zbl 1439.35122) Full Text: DOI OpenURL
Zhang, Liqin; Ma, Wen-Xiu; Huang, Yehui Lump solutions of a nonlinear PDE combining with a new fourth-order term \(D_x^2 D_t^2 *\). (English) Zbl 1435.35105 Adv. Math. Phys. 2020, Article ID 3542320, 8 p. (2020). MSC: 35C05 35G20 PDF BibTeX XML Cite \textit{L. Zhang} et al., Adv. Math. Phys. 2020, Article ID 3542320, 8 p. (2020; Zbl 1435.35105) Full Text: DOI OpenURL
Tan, Wei; Zhang, Wen; Zhang, Jian Evolutionary behavior of breathers and interaction solutions with \(M\)-solitons for \((2 + 1)\)-dimensional KdV system. (English) Zbl 1431.35160 Appl. Math. Lett. 101, Article ID 106063, 7 p. (2020). MSC: 35Q53 35C08 35Q51 68W30 37K10 PDF BibTeX XML Cite \textit{W. Tan} et al., Appl. Math. Lett. 101, Article ID 106063, 7 p. (2020; Zbl 1431.35160) Full Text: DOI OpenURL
Sheng, Han-Han; Yu, Guo-Fu Rational solutions of a (2+1)-dimensional sinh-Gordon equation. (English) Zbl 1428.35070 Appl. Math. Lett. 101, Article ID 106051, 7 p. (2020). MSC: 35C05 35G20 PDF BibTeX XML Cite \textit{H.-H. Sheng} and \textit{G.-F. Yu}, Appl. Math. Lett. 101, Article ID 106051, 7 p. (2020; Zbl 1428.35070) Full Text: DOI OpenURL
Stalin, S.; Senthilvelan, M.; Lakshmanan, M. Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I symmetry preserving and symmetry breaking solutions. (English) Zbl 1439.35447 Nonlinear Dyn. 95, No. 1, 343-360 (2019). MSC: 35Q55 35C08 35B06 PDF BibTeX XML Cite \textit{S. Stalin} et al., Nonlinear Dyn. 95, No. 1, 343--360 (2019; Zbl 1439.35447) Full Text: DOI arXiv OpenURL
Liu, Xiaoyan; Triki, Houria; Zhou, Qin; Mirzazadeh, Mohammad; Liu, Wenjun; Biswas, Anjan; Belic, Milivoj Generation and control of multiple solitons under the influence of parameters. (English) Zbl 1439.78013 Nonlinear Dyn. 95, No. 1, 143-150 (2019). MSC: 78A60 35C08 35Q55 PDF BibTeX XML Cite \textit{X. Liu} et al., Nonlinear Dyn. 95, No. 1, 143--150 (2019; Zbl 1439.78013) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{W. Tan} et al., Nonlinear Dyn. 96, No. 2, 1605--1614 (2019; Zbl 1437.35612) Full Text: DOI OpenURL
Stalin, S.; Senthilvelan, M.; Lakshmanan, M. Energy-sharing collisions and the dynamics of degenerate solitons in the nonlocal Manakov system. (English) Zbl 1432.37092 Nonlinear Dyn. 95, No. 3, 1767-1780 (2019). MSC: 37K40 35C08 35Q51 35Q55 PDF BibTeX XML Cite \textit{S. Stalin} et al., Nonlinear Dyn. 95, No. 3, 1767--1780 (2019; Zbl 1432.37092) Full Text: DOI OpenURL
He, Bin; Meng, Qing Bilinear form and new interaction solutions for the sixth-order Ramani equation. (English) Zbl 1426.35084 Appl. Math. Lett. 98, 411-418 (2019). MSC: 35G25 PDF BibTeX XML Cite \textit{B. He} and \textit{Q. Meng}, Appl. Math. Lett. 98, 411--418 (2019; Zbl 1426.35084) Full Text: DOI OpenURL
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi Dynamics and interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili-based system. (English) Zbl 1412.35051 Appl. Math. Lett. 94, 166-173 (2019). MSC: 35C07 35A22 35Q55 35K57 PDF BibTeX XML Cite \textit{J. Rao} et al., Appl. Math. Lett. 94, 166--173 (2019; Zbl 1412.35051) Full Text: DOI OpenURL
Liu, Wei; Zheng, Xiaoxiao; Li, Xiliang Bright and dark soliton solutions to the partial reverse space-time nonlocal Mel’nikov equation. (English) Zbl 1422.35150 Nonlinear Dyn. 94, No. 3, 2177-2189 (2018). MSC: 35Q55 35C08 PDF BibTeX XML Cite \textit{W. Liu} et al., Nonlinear Dyn. 94, No. 3, 2177--2189 (2018; Zbl 1422.35150) Full Text: DOI OpenURL
Tan, Wei; Dai, ZhengDe; Xie, JingLi; Qiu, DeQing Parameter limit method and its application in the (4+1)-dimensional Fokas equation. (English) Zbl 1420.35328 Comput. Math. Appl. 75, No. 12, 4214-4220 (2018). MSC: 35Q53 35C08 PDF BibTeX XML Cite \textit{W. Tan} et al., Comput. Math. Appl. 75, No. 12, 4214--4220 (2018; Zbl 1420.35328) Full Text: DOI OpenURL
Feng, Bao-Feng; Luo, Xu-Dan; Ablowitz, Mark J.; Musslimani, Ziad H. General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions. (English) Zbl 1406.37049 Nonlinearity 31, No. 12, 5385-5409 (2018). MSC: 37K10 37K15 35Q51 PDF BibTeX XML Cite \textit{B.-F. Feng} et al., Nonlinearity 31, No. 12, 5385--5409 (2018; Zbl 1406.37049) Full Text: DOI arXiv OpenURL
Liu, Wei; Li, Xiliang General soliton solutions to a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions. (English) Zbl 1398.35217 Nonlinear Dyn. 93, No. 2, 721-731 (2018). MSC: 35Q55 35C08 37K10 PDF BibTeX XML Cite \textit{W. Liu} and \textit{X. Li}, Nonlinear Dyn. 93, No. 2, 721--731 (2018; Zbl 1398.35217) Full Text: DOI OpenURL
Singh, Manjit Bilinear Bäcklund transformations and explicit solutions of equation in \((3+1)\)-dimension. (English) Zbl 1453.35159 Int. J. Comput. Sci. Math. 8, No. 1, 82-90 (2017). MSC: 35Q53 35A30 PDF BibTeX XML Cite \textit{M. Singh}, Int. J. Comput. Sci. Math. 8, No. 1, 82--90 (2017; Zbl 1453.35159) Full Text: DOI OpenURL
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro A modified complex short pulse equation of defocusing type. (English) Zbl 1420.35326 J. Nonlinear Math. Phys. 24, No. 2, 195-209 (2017). MSC: 35Q53 35C08 37K10 PDF BibTeX XML Cite \textit{S. Shen} et al., J. Nonlinear Math. Phys. 24, No. 2, 195--209 (2017; Zbl 1420.35326) Full Text: DOI OpenURL
Zhang, Sheng; Wang, Zhaoyu Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients. (English) Zbl 1412.35295 J. Nonlinear Sci. Appl. 10, No. 5, 2324-2339 (2017). MSC: 35Q51 35Q53 35Q99 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{Z. Wang}, J. Nonlinear Sci. Appl. 10, No. 5, 2324--2339 (2017; Zbl 1412.35295) Full Text: DOI OpenURL
Feng, Bao-Feng; Ohta, Yasuhiro \(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation. (English) Zbl 1387.39003 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 071, 16 p. (2017). MSC: 39A10 35Q55 PDF BibTeX XML Cite \textit{B.-F. Feng} and \textit{Y. Ohta}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 071, 16 p. (2017; Zbl 1387.39003) Full Text: DOI arXiv OpenURL
Lou, Senyue; Feng, Bao-Feng; Yao, Ruoxia Multi-soliton solution to the two-component Hunter-Saxton equation. (English) Zbl 1467.35290 Wave Motion 65, 17-28 (2016). MSC: 35Q53 35C08 76A15 PDF BibTeX XML Cite \textit{S. Lou} et al., Wave Motion 65, 17--28 (2016; Zbl 1467.35290) Full Text: DOI arXiv OpenURL
Demiray, Seçil; Taşcan, Filiz Quasi-periodic solutions of \((3+1)\) generalized BKP equation by using Riemann theta functions. (English) Zbl 1410.35166 Appl. Math. Comput. 273, 131-141 (2016). MSC: 35Q53 14K25 35B15 35G20 PDF BibTeX XML Cite \textit{S. Demiray} and \textit{F. Taşcan}, Appl. Math. Comput. 273, 131--141 (2016; Zbl 1410.35166) Full Text: DOI arXiv Link OpenURL
Yang, Jin-Wei; Gao, Yi-Tian; Su, Chuan-Qi; Zhao, Chen; Feng, Yu-Jie Rational solutions for a \((2+1)\)-dimensional nonlinear model in water waves generated by the Jaulent-Miodek hierarchy. (English) Zbl 1372.35253 Comput. Math. Appl. 72, No. 11, 2685-2693 (2016). MSC: 35Q35 76B15 37K10 35Q53 PDF BibTeX XML Cite \textit{J.-W. Yang} et al., Comput. Math. Appl. 72, No. 11, 2685--2693 (2016; Zbl 1372.35253) Full Text: DOI OpenURL
Tu, Jian-Min; Tian, Shou-Fu; Xu, Mei-Juan; Zhang, Tian-Tian Quasi-periodic waves and solitary waves to a generalized KdV-Caudrey-Dodd-Gibbon equation from fluid dynamics. (English) Zbl 1357.35256 Taiwanese J. Math. 20, No. 4, 823-848 (2016). MSC: 35Q53 35C08 35Q35 37N10 PDF BibTeX XML Cite \textit{J.-M. Tu} et al., Taiwanese J. Math. 20, No. 4, 823--848 (2016; Zbl 1357.35256) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Fokou} et al., Nonlinear Dyn. 83, No. 4, 2461--2473 (2016; Zbl 1353.35249) Full Text: DOI OpenURL
Nguyen, Lu Trong Khiem Wronskian formulation and ansatz method for bad Boussinesq equation. (English) Zbl 06644450 Vietnam J. Math. 44, No. 3, 449-462 (2016). MSC: 35-XX 76-XX PDF BibTeX XML Cite \textit{L. T. K. Nguyen}, Vietnam J. Math. 44, No. 3, 449--462 (2016; Zbl 06644450) Full Text: DOI OpenURL
Zhang, Sheng; Gao, Xudong Exact \(N\)-soliton solutions and dynamics of a new AKNS equation with time-dependent coefficients. (English) Zbl 1349.35059 Nonlinear Dyn. 83, No. 1-2, 1043-1052 (2016). MSC: 35C08 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{X. Gao}, Nonlinear Dyn. 83, No. 1--2, 1043--1052 (2016; Zbl 1349.35059) Full Text: DOI OpenURL
Hietarinta, J.; Joshi, N.; Nijhoff, F. W. Discrete systems and integrability. (English) Zbl 1362.37130 Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 978-1-107-66948-2/pbk; 978-1-107-04272-8/hbk; 978-1-107-33741-1/ebook). xiii, 445 p. (2016). Reviewer: Davide Masoero (Lisboa) MSC: 37K10 37-02 39A10 39A13 39A14 37J35 33E17 65M22 16T25 PDF BibTeX XML Cite \textit{J. Hietarinta} et al., Discrete systems and integrability. Cambridge: Cambridge University Press (2016; Zbl 1362.37130) Full Text: DOI OpenURL
Lu Trong Khiem Nguyen Soliton solution of good Boussinesq equation. (English) Zbl 1339.35084 Vietnam J. Math. 44, No. 2, 375-385 (2016). MSC: 35C08 35Q35 35Q53 PDF BibTeX XML Cite \textit{Lu Trong Khiem Nguyen}, Vietnam J. Math. 44, No. 2, 375--385 (2016; Zbl 1339.35084) Full Text: DOI OpenURL
Ma, Li-Yuan; Zhu, Zuo-Nong \(N\)-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation. (English) Zbl 1342.35346 Appl. Math. Lett. 59, 115-121 (2016). MSC: 35Q55 35C08 37K10 35B10 PDF BibTeX XML Cite \textit{L.-Y. Ma} and \textit{Z.-N. Zhu}, Appl. Math. Lett. 59, 115--121 (2016; Zbl 1342.35346) Full Text: DOI OpenURL
Nie, Xianjia; Zhang, Yan; Zhaqilao Multiple complex solutions for the modified generalized Vakhnenko equation. (Chinese. English summary) Zbl 1324.35160 J. Inn. Mong. Norm. Univ., Nat. Sci. 43, No. 5, 535-539 (2014). MSC: 35Q53 35C08 37K10 PDF BibTeX XML Cite \textit{X. Nie} et al., J. Inn. Mong. Norm. Univ., Nat. Sci. 43, No. 5, 535--539 (2014; Zbl 1324.35160) OpenURL
Xing, Xiuzhi; Liu, Yanwei A new type of variable-coefficient KP equation with self-consistent sources and its Gramian solutions. (English) Zbl 1289.35303 Chin. Q. J. Math. 28, No. 1, 152-158 (2013). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{X. Xing} and \textit{Y. Liu}, Chin. Q. J. Math. 28, No. 1, 152--158 (2013; Zbl 1289.35303) OpenURL
Mu, Gui; Liu, Jun; Dai, Zhengde Combined Exp-function ansatz method and applications. (English) Zbl 1304.35178 Univers. J. Math. Math. Sci. 1, No. 2, 189-196 (2012). MSC: 35C05 35Q51 37K10 35G20 PDF BibTeX XML Cite \textit{G. Mu} et al., Univers. J. Math. Math. Sci. 1, No. 2, 189--196 (2012; Zbl 1304.35178) Full Text: Link OpenURL
Abdou, M. A.; Soliman, A. A. On completely integrable coupled Burgers and coupled Korteweg-de Vries systems. (English) Zbl 1251.35120 Appl. Math. Lett. 25, No. 12, 2052-2057 (2012). MSC: 35Q53 35B35 35C08 PDF BibTeX XML Cite \textit{M. A. Abdou} and \textit{A. A. Soliman}, Appl. Math. Lett. 25, No. 12, 2052--2057 (2012; Zbl 1251.35120) Full Text: DOI OpenURL
Ma, Yunling \(N\)-soliton solutions for two multidimensional analogues of the \(m\)-KdV equation. (English) Zbl 1265.35309 Chin. Q. J. Math. 26, No. 3, 434-439 (2011). MSC: 35Q53 35C08 PDF BibTeX XML Cite \textit{Y. Ma}, Chin. Q. J. Math. 26, No. 3, 434--439 (2011; Zbl 1265.35309) Full Text: EuDML OpenURL
Salas, Alvaro H. Computing exact solutions to Hirota-Satsuma KdV system. (English) Zbl 1250.35058 Int. Math. Forum 6, No. 37-40, 1815-1823 (2011). MSC: 35C05 35Q53 35C08 PDF BibTeX XML Cite \textit{A. H. Salas}, Int. Math. Forum 6, No. 37--40, 1815--1823 (2011; Zbl 1250.35058) Full Text: Link OpenURL
Fan, Yan; Tian, Lixin The quasi-rogue Wve solution on the Camassa-Holm equation. (English) Zbl 1394.76025 Int. J. Nonlinear Sci. 11, No. 3, 259-266 (2011). MSC: 76B15 35Q35 PDF BibTeX XML Cite \textit{Y. Fan} and \textit{L. Tian}, Int. J. Nonlinear Sci. 11, No. 3, 259--266 (2011; Zbl 1394.76025) OpenURL
Wei, Long Multiple periodic-soliton solutions to Kadomtsev-Petviashvili equation. (English) Zbl 1223.37090 Appl. Math. Comput. 218, No. 2, 368-375 (2011). MSC: 37K10 35Q53 35B10 PDF BibTeX XML Cite \textit{L. Wei}, Appl. Math. Comput. 218, No. 2, 368--375 (2011; Zbl 1223.37090) Full Text: DOI OpenURL
Salas, Alvaro H.; FIZMAKO Research Group Construction of \(N\)-soliton solutions to (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equations. (English) Zbl 1213.35356 Appl. Math. Comput. 217, No. 18, 7391-7399 (2011). MSC: 35Q51 35Q53 35C08 PDF BibTeX XML Cite \textit{A. H. Salas} and \textit{FIZMAKO Research Group}, Appl. Math. Comput. 217, No. 18, 7391--7399 (2011; Zbl 1213.35356) Full Text: DOI OpenURL
Fan, Engui; Chow, Kwok Wing On the periodic solutions for both nonlinear differential and difference equations: a unified approach. (English) Zbl 1238.35060 Phys. Lett., A 374, No. 35, 3629-3634 (2010). MSC: 35L70 39A14 39A23 35C07 35C08 14K25 PDF BibTeX XML Cite \textit{E. Fan} and \textit{K. W. Chow}, Phys. Lett., A 374, No. 35, 3629--3634 (2010; Zbl 1238.35060) Full Text: DOI OpenURL
Fan, Engui Supersymmetric KdV-Sawada-Kotera-Ramani equation and its quasi-periodic wave solutions. (English) Zbl 1235.35242 Phys. Lett., A 374, No. 5, 744-749 (2010). MSC: 35Q53 81Q60 14K25 35C07 35C08 14M15 PDF BibTeX XML Cite \textit{E. Fan}, Phys. Lett., A 374, No. 5, 744--749 (2010; Zbl 1235.35242) Full Text: DOI OpenURL
Salas, Alvaro H.; Lozano C., William A.; Vallejo C., Lucy One and two-soliton solutions for the KdV equation via Mathematica 7. (English) Zbl 1235.35255 Int. J. Appl. Math. 23, No. 6, 1075-1080 (2010). MSC: 35Q53 35Q51 35C08 68W30 PDF BibTeX XML Cite \textit{A. H. Salas} et al., Int. J. Appl. Math. 23, No. 6, 1075--1080 (2010; Zbl 1235.35255) OpenURL
Zhaqilao; Yu, Lin \(N\) periodic-soliton solutions of the (2+1)-dimensional CDGKS equation. (English) Zbl 1240.35505 J. Inn. Mong. Norm. Univ., Nat. Sci. 39, No. 1, 1-6 (2010). MSC: 35Q53 35C08 PDF BibTeX XML Cite \textit{Zhaqilao} and \textit{L. Yu}, J. Inn. Mong. Norm. Univ., Nat. Sci. 39, No. 1, 1--6 (2010; Zbl 1240.35505) OpenURL
Fan, E. G.; Hon, Y. C. On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito’s equation. (English) Zbl 1236.81114 Rep. Math. Phys. 66, No. 3, 355-365 (2010). MSC: 81Q60 14K25 58A50 PDF BibTeX XML Cite \textit{E. G. Fan} and \textit{Y. C. Hon}, Rep. Math. Phys. 66, No. 3, 355--365 (2010; Zbl 1236.81114) Full Text: DOI OpenURL
Bi, Jinbo; Chen, Dengyuan Soliton solutions of higher-order generalized derivative nonlinear Schrödinger equation. (English) Zbl 1205.35288 Comput. Math. Appl. 60, No. 7, 1881-1887 (2010). MSC: 35Q55 37K40 PDF BibTeX XML Cite \textit{J. Bi} and \textit{D. Chen}, Comput. Math. Appl. 60, No. 7, 1881--1887 (2010; Zbl 1205.35288) Full Text: DOI OpenURL
Wazwaz, Abdul-Majid; Triki, Houria Bright solitons and multiple soliton solutions for coupled modified KdV equations with time-dependent coefficients. (English) Zbl 1200.35276 Phys. Scr. 82, No. 1, Article ID 015001, 6 p. (2010). MSC: 35Q53 35Q51 37K10 35C08 76D10 PDF BibTeX XML Cite \textit{A.-M. Wazwaz} and \textit{H. Triki}, Phys. Scr. 82, No. 1, Article ID 015001, 6 p. (2010; Zbl 1200.35276) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Zhu} et al., Appl. Math. Comput. 217, No. 1, 295--307 (2010; Zbl 1277.35310) Full Text: DOI OpenURL
Salas, Alvaro H. Exact solutions to mKdV equation with variable coefficients. (English) Zbl 1195.35270 Appl. Math. Comput. 216, No. 10, 2792-2798 (2010). MSC: 35Q53 35C08 35A30 PDF BibTeX XML Cite \textit{A. H. Salas}, Appl. Math. Comput. 216, No. 10, 2792--2798 (2010; Zbl 1195.35270) Full Text: DOI OpenURL
Wazwaz, Abdul-Majid Integrable \((2+1)\)-dimensional and \((3+1)\)-dimensional breaking soliton equations. (English) Zbl 1191.35226 Phys. Scr. 81, No. 3, Article ID 035005, 5 p. (2010). MSC: 35Q51 35C08 35A24 37K10 PDF BibTeX XML Cite \textit{A.-M. Wazwaz}, Phys. Scr. 81, No. 3, Article ID 035005, 5 p. (2010; Zbl 1191.35226) Full Text: DOI OpenURL
Zhang, Hai-Qiang; Tian, Bo; Lü, Xing; Li, He; Meng, Xiang-Hua Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations. (English) Zbl 1234.35259 Phys. Lett., A 373, No. 47, 4315-4321 (2009). MSC: 35Q55 35C08 81U05 81U35 78A50 78A45 81P68 PDF BibTeX XML Cite \textit{H.-Q. Zhang} et al., Phys. Lett., A 373, No. 47, 4315--4321 (2009; Zbl 1234.35259) Full Text: DOI OpenURL
Zhou, Guoquan; Bi, Xintao Soliton solutions of the DNLS equation based on Hirota’s bilinear derivative transform. (English) Zbl 1212.35404 Wuhan Univ. J. Nat. Sci. 14, No. 6, 505-510 (2009). MSC: 35Q51 35Q55 PDF BibTeX XML Cite \textit{G. Zhou} and \textit{X. Bi}, Wuhan Univ. J. Nat. Sci. 14, No. 6, 505--510 (2009; Zbl 1212.35404) Full Text: DOI OpenURL
Wang, Deng-Shan A systematic method to construct Hirota’s transformations of continuous soliton equations and its applications. (English) Zbl 1189.35295 Comput. Math. Appl. 58, No. 1, 146-153 (2009). MSC: 35Q53 35Q51 PDF BibTeX XML Cite \textit{D.-S. Wang}, Comput. Math. Appl. 58, No. 1, 146--153 (2009; Zbl 1189.35295) Full Text: DOI OpenURL
Zhang, Yi; Cai, Xiao-Na; Xu, Hong-Xian A note on “The integrable KdV6 equation: Multiple soliton solutions and multiple singular soliton solutions”. (English) Zbl 1168.35429 Appl. Math. Comput. 214, No. 1, 1-3 (2009). MSC: 35Q53 35Q51 35C05 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Appl. Math. Comput. 214, No. 1, 1--3 (2009; Zbl 1168.35429) Full Text: DOI OpenURL
Shen, Shoufeng; Song, Junquang Nonlinear variable separation solutions of some mKdV-type equations and the unified construction method. (English) Zbl 1168.65402 Appl. Math. Comput. 212, No. 1, 251-256 (2009). MSC: 65M70 PDF BibTeX XML Cite \textit{S. Shen} and \textit{J. Song}, Appl. Math. Comput. 212, No. 1, 251--256 (2009; Zbl 1168.65402) Full Text: DOI OpenURL
Liu, Wen-Jun; Meng, Xiang-Hua; Cai, Ke-Jie; Lü, Xing; Xu, Tao; Tian, Bo Analytic study on soliton-effect pulse compression in dispersion-shifted fibers with symbolic computation. (English) Zbl 1143.78353 J. Mod. Opt. 55, No. 8, 1331-1344 (2008). MSC: 78A60 35Q55 35Q51 68W05 78A10 PDF BibTeX XML Cite \textit{W.-J. Liu} et al., J. Mod. Opt. 55, No. 8, 1331--1344 (2008; Zbl 1143.78353) Full Text: DOI OpenURL
Wazwaz, Abdul-Majid Multiple-front solutions for the Burgers-Kadomtsev-Petviashvili equation. (English) Zbl 1153.65365 Appl. Math. Comput. 200, No. 1, 437-443 (2008). MSC: 65M70 PDF BibTeX XML Cite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 200, No. 1, 437--443 (2008; Zbl 1153.65365) Full Text: DOI OpenURL
Wang, Deng-Shan; Li, Hongbo Single and multi-solitary wave solutions to a class of nonlinear evolution equations. (English) Zbl 1139.35036 J. Math. Anal. Appl. 343, No. 1, 273-298 (2008). MSC: 35G25 35A25 PDF BibTeX XML Cite \textit{D.-S. Wang} and \textit{H. Li}, J. Math. Anal. Appl. 343, No. 1, 273--298 (2008; Zbl 1139.35036) Full Text: DOI OpenURL
Zhang, Yi; Lü, Yineng On the nonisospectral modified Kadomtsev-Peviashvili equation. (English) Zbl 1139.35324 J. Math. Anal. Appl. 342, No. 1, 534-541 (2008). MSC: 35C05 35Q51 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y. Lü}, J. Math. Anal. Appl. 342, No. 1, 534--541 (2008; Zbl 1139.35324) Full Text: DOI OpenURL
Hao, Hong-hai; Lü, Li-li Exact solutions for the mixed AKNS equation: Hirota approach. (English) Zbl 1142.35554 J. Shanghai Univ. 11, No. 3, 241-244 (2007). MSC: 35Q51 PDF BibTeX XML Cite \textit{H.-h. Hao} and \textit{L.-l. Lü}, J. Shanghai Univ. 11, No. 3, 241--244 (2007; Zbl 1142.35554) Full Text: DOI OpenURL
Liu, Q. P.; Hu, Xing-Biao Bilinearization of \(N=1\) supersymmetric Korteweg-de Vries equation revisited. (English) Zbl 1080.35122 J. Phys. A, Math. Gen. 38, No. 28, 6371-6378 (2005). MSC: 35Q53 37K35 PDF BibTeX XML Cite \textit{Q. P. Liu} and \textit{X.-B. Hu}, J. Phys. A, Math. Gen. 38, No. 28, 6371--6378 (2005; Zbl 1080.35122) Full Text: DOI OpenURL
Zhang, Jun; Guo, Boling; Shen, Shoufeng Homoclinic orbits of the doubly periodic Davey-Stewartson equation. (English) Zbl 1080.37586 Prog. Nat. Sci. 14, No. 11, 1031-1032 (2004). MSC: 37K10 35Q58 PDF BibTeX XML Cite \textit{J. Zhang} et al., Prog. Nat. Sci. 14, No. 11, 1031--1032 (2004; Zbl 1080.37586) Full Text: DOI OpenURL
Chai, Huajin; Gao, Ping Homoclinic orbits for the Zakharov system and Hirota equation. (English) Zbl 1066.37010 J. Math. Study 37, No. 1, 21-24 (2004). MSC: 37C29 35Q53 PDF BibTeX XML Cite \textit{H. Chai} and \textit{P. Gao}, J. Math. Study 37, No. 1, 21--24 (2004; Zbl 1066.37010) OpenURL
Zhang, Yi; Deng, Shu-Fang; Chen, Deng-Yuan The novel N-soliton solutions of equation for shallow water waves. (English) Zbl 1048.35093 Cheng, Yi (ed.) et al., Nonlinear evolution equations and dynamical systems. Proceedings of the ICM 2002 satellite conference, Yellow Mountains, Huangshan, China, August 15–18, 2002. River Edge, NJ: World Scientific (ISBN 981-238-276-3/hbk). 157-163 (2003). MSC: 35Q35 76B25 37K40 PDF BibTeX XML Cite \textit{Y. Zhang} et al., in: Nonlinear evolution equations and dynamical systems. Proceedings of the ICM 2002 satellite conference, Yellow Mountains, Huangshan, China, August 15--18, 2002. River Edge, NJ: World Scientific. 157--163 (2003; Zbl 1048.35093) OpenURL
Hu, Xingbiao; Ma, Wenxiu Application of Hirota’s bilinear formalism to the Toeplitz lattice - some special soliton-like solutions. (English) Zbl 0985.35072 Phys. Lett., A 293, No. 3-4, 161-165 (2002). MSC: 35Q53 37K60 PDF BibTeX XML Cite \textit{X. Hu} and \textit{W. Ma}, Phys. Lett., A 293, No. 3--4, 161--165 (2002; Zbl 0985.35072) Full Text: DOI OpenURL
Hietarinta, Jarmo Bäcklund transformations from the bilinear viewpoint. (English) Zbl 0991.35077 Coley, Alan (ed.) et al., Bäcklund and Darboux transformations. The geometry of solitons. AARMS-CRM workshop, Halifax, Canada, June 4-9, 1999. With short biographies of Albert Victor Bäcklund and Gaston Darboux. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 29, 245-251 (2001). MSC: 35Q53 35N05 37K35 PDF BibTeX XML Cite \textit{J. Hietarinta}, in: Bäcklund and Darboux transformations. The geometry of solitons. AARMS-CRM workshop, Halifax, Canada, June 4--9, 1999. With short biographies of Albert Victor Bäcklund and Gaston Darboux. Providence, RI: American Mathematical Society (AMS). 245--251 (2001; Zbl 0991.35077) OpenURL
Ghosh, Sasanka; Kundu, Anjan; Nandy, Sudipta Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equation. (English) Zbl 0946.35097 J. Math. Phys. 40, No. 4, 1993-2000 (1999). MSC: 35Q55 37K05 37K15 PDF BibTeX XML Cite \textit{S. Ghosh} et al., J. Math. Phys. 40, No. 4, 1993--2000 (1999; Zbl 0946.35097) Full Text: DOI arXiv OpenURL
Porsezian, K. Bilinearization of coupled nonlinear Schrödinger type equations: Integrability and solitons. (English) Zbl 0944.35098 J. Nonlinear Math. Phys. 5, No. 2, 126-131 (1998). MSC: 35Q55 37K10 35Q80 37K40 PDF BibTeX XML Cite \textit{K. Porsezian}, J. Nonlinear Math. Phys. 5, No. 2, 126--131 (1998; Zbl 0944.35098) Full Text: DOI arXiv OpenURL
Takeno, Shozo; Peyrard, Michel Nonlinear modes in coupled rotator models. (English) Zbl 0885.35110 Physica D 92, No. 3-4, 140-163 (1996). MSC: 35Q53 35Q51 PDF BibTeX XML Cite \textit{S. Takeno} and \textit{M. Peyrard}, Physica D 92, No. 3--4, 140--163 (1996; Zbl 0885.35110) Full Text: DOI OpenURL
Hereman, W.; Zhuang, W. Symbolic software for soliton theory. (English) Zbl 0838.35111 Acta Appl. Math. 39, No. 1-3, 361-378 (1995). MSC: 35Q51 34-04 35Q53 35C05 68W30 35-04 PDF BibTeX XML Cite \textit{W. Hereman} and \textit{W. Zhuang}, Acta Appl. Math. 39, No. 1--3, 361--378 (1995; Zbl 0838.35111) Full Text: DOI OpenURL
Gordoa, P. R.; Estévez, P. G. Double singular manifold method for the mKdV equation. (English) Zbl 0850.35099 Theor. Math. Phys. 99, No. 3, 653-657 (1994) and Teor. Mat. Fiz. 99, No. 3, 370-376 (1994). MSC: 35Q53 35Q51 PDF BibTeX XML Cite \textit{P. R. Gordoa} and \textit{P. G. Estévez}, Theor. Math. Phys. 99, No. 3, 653--657 (1994) and Teor. Mat. Fiz. 99, No.~3, 370--376 (1994; Zbl 0850.35099) Full Text: DOI OpenURL