Ma, Yu-Lan; Wazwaz, Abdul-Majid; Li, Bang-Qing Phase transition from soliton to breather, soliton-breather molecules, breather molecules of the Caudrey-Dodd-Gibbon equation. (English) Zbl 07763984 Phys. Lett., A 488, Article ID 129132, 5 p. (2023). MSC: 81V55 82B26 35C08 35A18 81P40 PDFBibTeX XMLCite \textit{Y.-L. Ma} et al., Phys. Lett., A 488, Article ID 129132, 5 p. (2023; Zbl 07763984) Full Text: DOI
Cheng, Chong-Dong; Tian, Bo; Hu, Cong-Cong; Shen, Yuan Line-rogue waves, transformed nonlinear waves and their interactions for a \((3+1)\)-dimensional Korteweg-de Vries equation in a fluid. (English) Zbl 1527.35346 Phys. Lett., A 480, Article ID 128970, 13 p. (2023). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{C.-D. Cheng} et al., Phys. Lett., A 480, Article ID 128970, 13 p. (2023; Zbl 1527.35346) Full Text: DOI
Yang, Xiangyu; Wang, Zhen; Wazwaz, Abdul-Majid; Zhang, Zhao Resonantly interacting lump chains in the Mel’nikov equation. (English) Zbl 07705950 Phys. Lett., A 478, Article ID 128910, 17 p. (2023). MSC: 35Q53 35C08 35B34 PDFBibTeX XMLCite \textit{X. Yang} et al., Phys. Lett., A 478, Article ID 128910, 17 p. (2023; Zbl 07705950) Full Text: DOI
Li, Bang-Qing; Ma, Yu-Lan Hybrid soliton and breather waves, solution molecules and breather molecules of a \((3+1)\)-dimensional Geng equation in shallow water waves. (English) Zbl 1525.76022 Phys. Lett., A 463, Article ID 128672, 7 p. (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B25 35Q51 PDFBibTeX XMLCite \textit{B.-Q. Li} and \textit{Y.-L. Ma}, Phys. Lett., A 463, Article ID 128672, 7 p. (2023; Zbl 1525.76022) Full Text: DOI
Song, Yunjia; Yang, Ben; Wang, Zenggui Bifurcations and exact solutions of a new \((3+1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1518.35057 Phys. Lett., A 461, Article ID 128647, 11 p. (2023). MSC: 35B32 35C07 35C08 35G25 PDFBibTeX XMLCite \textit{Y. Song} et al., Phys. Lett., A 461, Article ID 128647, 11 p. (2023; Zbl 1518.35057) Full Text: DOI
Lv, Na; Li, Jiaheng; Yuan, Xuegang; Wang, Ran Controllable rogue waves in a compressible hyperelastic plate. (English) Zbl 1524.74062 Phys. Lett., A 461, Article ID 128639, 8 p. (2023). MSC: 74B20 74J30 PDFBibTeX XMLCite \textit{N. Lv} et al., Phys. Lett., A 461, Article ID 128639, 8 p. (2023; Zbl 1524.74062) Full Text: DOI
Wu, Lifei; Zhang, Yi Solutions to the complex shifted reverse space-time modified Korteweg-de Vries equation. (English) Zbl 1518.83111 Phys. Lett., A 460, Article ID 128616, 8 p. (2023). MSC: 83F05 47B37 35Q05 35Q53 70H33 PDFBibTeX XMLCite \textit{L. Wu} and \textit{Y. Zhang}, Phys. Lett., A 460, Article ID 128616, 8 p. (2023; Zbl 1518.83111) Full Text: DOI
Yuan, Yu-Qiang; Zhao, Xue-Hui Resonant solitons of the B-type Kadomtsev-Petviashvili equation. (English) Zbl 1518.35209 Phys. Lett., A 458, Article ID 128592, 5 p. (2023). MSC: 35C08 35Q51 PDFBibTeX XMLCite \textit{Y.-Q. Yuan} and \textit{X.-H. Zhao}, Phys. Lett., A 458, Article ID 128592, 5 p. (2023; Zbl 1518.35209) Full Text: DOI
Raza, Nauman; Arshed, Saima; Wazwaz, Abdul-Majid Structures of interaction between lump, breather, rogue and periodic wave solutions for new \((3 + 1)\)-dimensional negative order KdV-CBS model. (English) Zbl 1518.35207 Phys. Lett., A 458, Article ID 128589, 9 p. (2023). MSC: 35C08 35Q51 35Q53 PDFBibTeX XMLCite \textit{N. Raza} et al., Phys. Lett., A 458, Article ID 128589, 9 p. (2023; Zbl 1518.35207) Full Text: DOI
Ma, Wen-Xiu A multi-component integrable hierarchy and its integrable reductions. (English) Zbl 1518.37069 Phys. Lett., A 457, Article ID 128575, 6 p. (2023). MSC: 37K10 37K30 35Q55 35Q53 17B80 PDFBibTeX XMLCite \textit{W.-X. Ma}, Phys. Lett., A 457, Article ID 128575, 6 p. (2023; Zbl 1518.37069) Full Text: DOI
Yan, Xinying; Liu, Jinzhou; Xin, Xiangpeng Soliton solutions and lump-type solutions to the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficient. (English) Zbl 07642367 Phys. Lett., A 457, Article ID 128574, 9 p. (2023). MSC: 37K10 76B15 76B25 35C08 PDFBibTeX XMLCite \textit{X. Yan} et al., Phys. Lett., A 457, Article ID 128574, 9 p. (2023; Zbl 07642367) Full Text: DOI
Saifullah, Sayed; Ahmad, Shabir; Alyami, Maryam Ahmed; Inc, Mustafa Analysis of interaction of lump solutions with kink-soliton solutions of the generalized perturbed KdV equation using Hirota-bilinear approach. (English) Zbl 1516.35377 Phys. Lett., A 454, Article ID 128503, 6 p. (2022). MSC: 35Q53 35Q51 35C08 35B20 35B10 PDFBibTeX XMLCite \textit{S. Saifullah} et al., Phys. Lett., A 454, Article ID 128503, 6 p. (2022; Zbl 1516.35377) Full Text: DOI
Kai, Yue; Yin, Zhixiang Linear structure and soliton molecules of Sharma-Tasso-Olver-Burgers equation. (English) Zbl 1515.35093 Phys. Lett., A 452, Article ID 128430, 5 p. (2022). MSC: 35C08 35A22 35C05 PDFBibTeX XMLCite \textit{Y. Kai} and \textit{Z. Yin}, Phys. Lett., A 452, Article ID 128430, 5 p. (2022; Zbl 1515.35093) Full Text: DOI
Liu, Jian-Gen; Yang, Xiao-Jun; Wang, Jing-Jing A new perspective to discuss Korteweg-de Vries-like equation. (English) Zbl 1511.35314 Phys. Lett., A 451, Article ID 128429, 5 p. (2022). MSC: 35Q53 35G05 PDFBibTeX XMLCite \textit{J.-G. Liu} et al., Phys. Lett., A 451, Article ID 128429, 5 p. (2022; Zbl 1511.35314) Full Text: DOI
Ahmad, Shabir; Saifullah, Sayed; Khan, Arshad; Inc, Mustafa New local and nonlocal soliton solutions of a nonlocal reverse space-time mKdV equation using improved Hirota bilinear method. (English) Zbl 1511.35078 Phys. Lett., A 450, Article ID 128393, 7 p. (2022). MSC: 35C08 35Q53 76B15 PDFBibTeX XMLCite \textit{S. Ahmad} et al., Phys. Lett., A 450, Article ID 128393, 7 p. (2022; Zbl 1511.35078) Full Text: DOI
Yu, Di; Zongguo, Zhang; Yang, Hongwei A new nonlinear integral-differential equation describing Rossby waves and its related properties. (English) Zbl 1502.76127 Phys. Lett., A 443, Article ID 128205, 7 p. (2022). MSC: 76U65 76B25 76M45 86A05 PDFBibTeX XMLCite \textit{D. Yu} et al., Phys. Lett., A 443, Article ID 128205, 7 p. (2022; Zbl 1502.76127) Full Text: DOI
Lou, S. Y.; Hao, Xiazhi Linear superposition in the general heavenly equation. (English) Zbl 1500.35097 Phys. Lett., A 443, Article ID 128203, 4 p. (2022). MSC: 35G20 26B40 PDFBibTeX XMLCite \textit{S. Y. Lou} and \textit{X. Hao}, Phys. Lett., A 443, Article ID 128203, 4 p. (2022; Zbl 1500.35097) Full Text: DOI arXiv
Gürses, Metin; Pekcan, Aslı Soliton solutions of the shifted nonlocal NLS and MKdV equations. (English) Zbl 07452167 Phys. Lett., A 422, Article ID 127793, 10 p. (2022). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{M. Gürses} and \textit{A. Pekcan}, Phys. Lett., A 422, Article ID 127793, 10 p. (2022; Zbl 07452167) Full Text: DOI arXiv
Kai, Yue; Ji, Jialiang; Yin, Zhixiang Exact solutions and dynamic properties of Ito-type coupled nonlinear wave equations. (English) Zbl 07427918 Phys. Lett., A 421, Article ID 127780, 5 p. (2022). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{Y. Kai} et al., Phys. Lett., A 421, Article ID 127780, 5 p. (2022; Zbl 07427918) Full Text: DOI
Ma, Yu-Lan; Wazwaz, Abdul-Majid; Li, Bang-Qing Novel bifurcation solitons for an extended Kadomtsev-Petviashvili equation in fluids. (English) Zbl 1528.35149 Phys. Lett., A 413, Article ID 127585, 8 p. (2021). MSC: 35Q53 35Q51 35Q35 76E20 PDFBibTeX XMLCite \textit{Y.-L. Ma} et al., Phys. Lett., A 413, Article ID 127585, 8 p. (2021; Zbl 1528.35149) Full Text: DOI
Das, Amiya; Paul, Sujata; Jash, Sudipta Envelope solitary wave and periodic wave solutions in a Madelung fluid description of generalized derivative resonant nonlinear Schrödinger equation. (English) Zbl 07411303 Phys. Lett., A 410, Article ID 127544, 9 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{A. Das} et al., Phys. Lett., A 410, Article ID 127544, 9 p. (2021; Zbl 07411303) Full Text: DOI
Shen, Yuan; Tian, Bo; Liu, Shao-Hua Solitonic fusion and fission for a \((3 + 1)\)-dimensional generalized nonlinear evolution equation arising in the shallow water waves. (English) Zbl 07411257 Phys. Lett., A 405, Article ID 127429, 9 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{Y. Shen} et al., Phys. Lett., A 405, Article ID 127429, 9 p. (2021; Zbl 07411257) Full Text: DOI
Ablowitz, Mark J.; Musslimani, Ziad H. Integrable space-time shifted nonlocal nonlinear equations. (English) Zbl 07411241 Phys. Lett., A 409, Article ID 127516, 6 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{Z. H. Musslimani}, Phys. Lett., A 409, Article ID 127516, 6 p. (2021; Zbl 07411241) Full Text: DOI
Ullah, Mohammad Safi; Zulfikar Ali, M.; Roshid, Harun-Or; Seadawy, A. R.; Baleanu, Dumitru Collision phenomena among lump, periodic and soliton solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton model. (English) Zbl 07409584 Phys. Lett., A 397, Article ID 127263, 6 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{M. S. Ullah} et al., Phys. Lett., A 397, Article ID 127263, 6 p. (2021; Zbl 07409584) Full Text: DOI
Zhang, Mengxia; Feng, Bao-Feng; Liu, Jiawen Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation. (English) Zbl 1479.37075 Phys. Lett., A 385, Article ID 126966, 13 p. (2021). MSC: 37K10 37K35 37K06 PDFBibTeX XMLCite \textit{M. Zhang} et al., Phys. Lett., A 385, Article ID 126966, 13 p. (2021; Zbl 1479.37075) Full Text: DOI
Parra Prado, Hugo; Cisneros-Ake, Luis A. The direct method for multisolitons and two-hump solitons in the Hirota-Satsuma system. (English) Zbl 1448.35453 Phys. Lett., A 384, No. 19, Article ID 126471, 10 p. (2020). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{H. Parra Prado} and \textit{L. A. Cisneros-Ake}, Phys. Lett., A 384, No. 19, Article ID 126471, 10 p. (2020; Zbl 1448.35453) Full Text: DOI
Guan, Xue; Zhou, Qin; Biswas, Anjan; Kamis Alzahrani, Abdullah; Liu, Wenjun Darboux transformation for a generalized Ablowitz-Kaup-Newell-Segur hierarchy equation. (English) Zbl 1448.37078 Phys. Lett., A 384, No. 18, Article ID 126394, 6 p. (2020). MSC: 37K10 37J35 35C08 PDFBibTeX XMLCite \textit{X. Guan} et al., Phys. Lett., A 384, No. 18, Article ID 126394, 6 p. (2020; Zbl 1448.37078) Full Text: DOI
Gürses, Metin; Pekcan, Aslı Nonlocal KdV equations. (English) Zbl 1448.35445 Phys. Lett., A 384, No. 35, Article ID 126894, 11 p. (2020). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{M. Gürses} and \textit{A. Pekcan}, Phys. Lett., A 384, No. 35, Article ID 126894, 11 p. (2020; Zbl 1448.35445) Full Text: DOI arXiv
Wazwaz, Abdul-Majid New \((3 + 1)\)-dimensional date-Jimbo-Kashiwara-Miwa equations with constant and time-dependent coefficients: Painlevé integrability. (English) Zbl 1448.35438 Phys. Lett., A 384, No. 32, Article ID 126787, 4 p. (2020). MSC: 35Q51 35Q53 34M55 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Lett., A 384, No. 32, Article ID 126787, 4 p. (2020; Zbl 1448.35438) Full Text: DOI
Gai, Litao; Ma, Wen-Xiu; Li, Mingchu Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3 + 1)-dimensional generalized breaking soliton equation. (English) Zbl 1448.35085 Phys. Lett., A 384, No. 8, Article ID 126178, 12 p. (2020). MSC: 35C08 35Q51 35Q53 PDFBibTeX XMLCite \textit{L. Gai} et al., Phys. Lett., A 384, No. 8, Article ID 126178, 12 p. (2020; Zbl 1448.35085) Full Text: DOI
Vakhnenko, Oleksiy O. Nonlinear integrable systems containing the canonical subsystems of distinct physical origins. (English) Zbl 1448.81361 Phys. Lett., A 384, No. 3, Article ID 126081, 9 p. (2020). MSC: 81R12 82B23 82C23 82B20 37K10 PDFBibTeX XMLCite \textit{O. O. Vakhnenko}, Phys. Lett., A 384, No. 3, Article ID 126081, 9 p. (2020; Zbl 1448.81361) Full Text: DOI
Tan, Wei Evolution of breathers and interaction between high-order lump solutions and \(N\)-solitons (\(N \rightarrow \infty\)) for breaking soliton system. (English) Zbl 1479.35726 Phys. Lett., A 383, No. 32, Article ID 125907, 8 p. (2019). MSC: 35Q51 35Q53 35C08 35A22 35A01 68W30 PDFBibTeX XMLCite \textit{W. Tan}, Phys. Lett., A 383, No. 32, Article ID 125907, 8 p. (2019; Zbl 1479.35726) Full Text: DOI
Wu, Pin-Xia; Zhang, Yu-Feng Lump, lumpoff and predictable rogue wave solutions to the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation. (English) Zbl 1479.35753 Phys. Lett., A 383, No. 15, 1755-1763 (2019). MSC: 35Q53 35C08 35B09 PDFBibTeX XMLCite \textit{P.-X. Wu} and \textit{Y.-F. Zhang}, Phys. Lett., A 383, No. 15, 1755--1763 (2019; Zbl 1479.35753) Full Text: DOI
Wang, Jingqun; Tian, Lixin; Zhang, Yingnan Breather solutions of a negative order modified Korteweg-de Vries equation and its nonlinear stability. (English) Zbl 1479.35749 Phys. Lett., A 383, No. 15, 1689-1697 (2019). MSC: 35Q53 35B35 37K06 PDFBibTeX XMLCite \textit{J. Wang} et al., Phys. Lett., A 383, No. 15, 1689--1697 (2019; Zbl 1479.35749) Full Text: DOI
Li, Li; Duan, Chaonan; Yu, Fajun An improved Hirota bilinear method and new application for a nonlocal integrable complex modified Korteweg-de Vries (MKdV) equation. (English) Zbl 1479.35740 Phys. Lett., A 383, No. 14, 1578-1582 (2019). MSC: 35Q53 35Q51 35C08 37K10 PDFBibTeX XMLCite \textit{L. Li} et al., Phys. Lett., A 383, No. 14, 1578--1582 (2019; Zbl 1479.35740) Full Text: DOI
Rao, Jiguang; Mihalache, Dumitru; Cheng, Yi; He, Jingsong Lump-soliton solutions to the Fokas system. (English) Zbl 1475.35110 Phys. Lett., A 383, No. 11, 1138-1142 (2019). MSC: 35C08 35C20 PDFBibTeX XMLCite \textit{J. Rao} et al., Phys. Lett., A 383, No. 11, 1138--1142 (2019; Zbl 1475.35110) Full Text: DOI
Liu, Quansheng; Zhang, Ruigang; Yang, Liangui; Song, Jian A new model equation for nonlinear Rossby waves and some of its solutions. (English) Zbl 1486.76107 Phys. Lett., A 383, No. 6, 514-525 (2019). MSC: 76U65 76B15 76M45 PDFBibTeX XMLCite \textit{Q. Liu} et al., Phys. Lett., A 383, No. 6, 514--525 (2019; Zbl 1486.76107) Full Text: DOI
Liu, Wenhao; Zhang, Yufeng; Shi, Dandan Lump waves, solitary waves and interaction phenomena to the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equation. (English) Zbl 1428.35457 Phys. Lett., A 383, No. 2-3, 97-102 (2019). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{W. Liu} et al., Phys. Lett., A 383, No. 2--3, 97--102 (2019; Zbl 1428.35457) Full Text: DOI
Peng, Wei-Qi; Tian, Shou-Fu; Zhang, Tian-Tian Analysis on lump, lumpoff and rogue waves with predictability to the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation. (English) Zbl 1404.35396 Phys. Lett., A 382, No. 38, 2701-2708 (2018). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{W.-Q. Peng} et al., Phys. Lett., A 382, No. 38, 2701--2708 (2018; Zbl 1404.35396) Full Text: DOI
Xie, Yingying; Yang, Zhaoyu; Li, Lingfei New exact solutions to the high dispersive cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1404.81101 Phys. Lett., A 382, No. 36, 2506-2514 (2018). MSC: 81Q05 35Q55 35C08 PDFBibTeX XMLCite \textit{Y. Xie} et al., Phys. Lett., A 382, No. 36, 2506--2514 (2018; Zbl 1404.81101) Full Text: DOI
Wang, Deng-Shan; Liu, Jiang; Wang, Lizhen Non-autonomous matter-wave solitons in hybrid atomic-molecular Bose-Einstein condensates with tunable interactions and harmonic potential. (English) Zbl 1383.82072 Phys. Lett., A 382, No. 12, 799-805 (2018). MSC: 82D50 35Q55 35C07 35C08 PDFBibTeX XMLCite \textit{D.-S. Wang} et al., Phys. Lett., A 382, No. 12, 799--805 (2018; Zbl 1383.82072) Full Text: DOI
El-Tantawy, S. A.; Elgendy, A. T.; Ismail, S. Cylindrical freak waves in a non-Maxwellian dusty bulk-sheath plasma: an approximate solution for the cylindrical nonlinear Schrödinger equation. (English) Zbl 1374.35343 Phys. Lett., A 381, No. 40, 3465-3471 (2017). MSC: 35Q53 35Q55 82D10 PDFBibTeX XMLCite \textit{S. A. El-Tantawy} et al., Phys. Lett., A 381, No. 40, 3465--3471 (2017; Zbl 1374.35343) Full Text: DOI
Yang, Xiao; Du, Dianlou Solving negative and mixed Toda hierarchies by Jacobi inversion problems. (English) Zbl 1342.37069 Phys. Lett., A 379, No. 7, 626-634 (2015). MSC: 37K10 35Q51 35Q53 37K40 70H20 70H06 PDFBibTeX XMLCite \textit{X. Yang} and \textit{D. Du}, Phys. Lett., A 379, No. 7, 626--634 (2015; Zbl 1342.37069) Full Text: DOI
Doliwa, Adam; Lin, Runliang Discrete KP equation with self-consistent sources. (English) Zbl 1342.37067 Phys. Lett., A 378, No. 28-29, 1925-1931 (2014). MSC: 37K10 37K35 35Q53 35Q51 39A14 PDFBibTeX XMLCite \textit{A. Doliwa} and \textit{R. Lin}, Phys. Lett., A 378, No. 28--29, 1925--1931 (2014; Zbl 1342.37067) Full Text: DOI arXiv
Zhou, Ruguang A Darboux transformation of the \(\mathrm{sl}(2| 1)\) super KdV hierarchy and a super lattice potential KdV equation. (English) Zbl 1342.37070 Phys. Lett., A 378, No. 26-27, 1816-1819 (2014). MSC: 37K10 35Q53 37K35 39A14 PDFBibTeX XMLCite \textit{R. Zhou}, Phys. Lett., A 378, No. 26--27, 1816--1819 (2014; Zbl 1342.37070) Full Text: DOI
Yin, Jiuli; Zhao, Liuwei Dynamical behaviors of the shock compacton in the nonlinearly Schrödinger equation with a source term. (English) Zbl 1301.35160 Phys. Lett., A 378, No. 47, 3516-3522 (2014). MSC: 35Q55 PDFBibTeX XMLCite \textit{J. Yin} and \textit{L. Zhao}, Phys. Lett., A 378, No. 47, 3516--3522 (2014; Zbl 1301.35160) Full Text: DOI
Wu, Guo-Cheng; Zhang, Sheng A generalized Tu formula and Hamiltonian structures of fractional AKNS hierarchy. (English) Zbl 1252.37063 Phys. Lett., A 375, No. 42, 3659-3663 (2011). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{S. Zhang}, Phys. Lett., A 375, No. 42, 3659--3663 (2011; Zbl 1252.37063) Full Text: DOI arXiv
Li, Li Conservation laws and self-consistent sources for a super-CKdV equation hierarchy. (English) Zbl 1242.37047 Phys. Lett., A 375, No. 11, 1402-1406 (2011). MSC: 37K10 37K05 81Q60 22E70 PDFBibTeX XMLCite \textit{L. Li}, Phys. Lett., A 375, No. 11, 1402--1406 (2011; Zbl 1242.37047) Full Text: DOI
Li, Li An extended integrable fractional-order KP soliton hierarchy. (English) Zbl 1241.37012 Phys. Lett., A 375, No. 3, 511-516 (2011). MSC: 37K10 35R11 35Q51 PDFBibTeX XMLCite \textit{L. Li}, Phys. Lett., A 375, No. 3, 511--516 (2011; Zbl 1241.37012) Full Text: DOI
Xu, Xi-Xiang An integrable coupling family of Merola-Ragnisco-Tu lattice systems, its Hamiltonian structure and related nonisospectral integrable lattice family. (English) Zbl 1235.37023 Phys. Lett., A 374, No. 3, 401-410 (2010). MSC: 37K10 37K05 70H05 PDFBibTeX XMLCite \textit{X.-X. Xu}, Phys. Lett., A 374, No. 3, 401--410 (2010; Zbl 1235.37023) Full Text: DOI
Xia, Baoqiang; Zhou, Ruguang Integrable deformations of integrable symplectic maps. (English) Zbl 1234.53029 Phys. Lett., A 373, No. 47, 4360-4367 (2009). MSC: 53D55 70H06 70H15 PDFBibTeX XMLCite \textit{B. Xia} and \textit{R. Zhou}, Phys. Lett., A 373, No. 47, 4360--4367 (2009; Zbl 1234.53029) Full Text: DOI
Yu, Fajun Integrable coupling system of fractional soliton equation hierarchy. (English) Zbl 1233.35172 Phys. Lett., A 373, No. 41, 3730-3733 (2009). MSC: 35Q51 35R11 35C08 PDFBibTeX XMLCite \textit{F. Yu}, Phys. Lett., A 373, No. 41, 3730--3733 (2009; Zbl 1233.35172) Full Text: DOI
Yang, Hong-Xiang; Shen, Ding; Zhu, Li-Li A hierarchy of Hamiltonian lattice equations associated with the relativistic Toda type system. (English) Zbl 1231.37036 Phys. Lett., A 373, No. 31, 2695-2703 (2009). MSC: 37K10 58J53 37K60 22E70 16E35 PDFBibTeX XMLCite \textit{H.-X. Yang} et al., Phys. Lett., A 373, No. 31, 2695--2703 (2009; Zbl 1231.37036) Full Text: DOI
Yu, Fajun; Li, Li Integrable couplings of C-KdV equations hierarchy with self-consistent sources associated with \(\tilde{sl}(4)\). (English) Zbl 1229.35253 Phys. Lett., A 373, No. 18-19, 1632-1638 (2009). MSC: 35Q53 35Q51 37K10 PDFBibTeX XMLCite \textit{F. Yu} and \textit{L. Li}, Phys. Lett., A 373, No. 18--19, 1632--1638 (2009; Zbl 1229.35253) Full Text: DOI
Yang, Hong-Xiang Soliton solutions by Darboux transformation for a Hamiltonian lattice system. (English) Zbl 1227.37015 Phys. Lett., A 373, No. 7, 741-748 (2009). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{H.-X. Yang}, Phys. Lett., A 373, No. 7, 741--748 (2009; Zbl 1227.37015) Full Text: DOI
Yu, Fajun Non-isospectral integrable couplings of Ablowitz-Ladik hierarchy with self-consistent sources. (English) Zbl 1227.37016 Phys. Lett., A 372, No. 46, 6909-6915 (2008). MSC: 37K10 35Q51 55P35 PDFBibTeX XMLCite \textit{F. Yu}, Phys. Lett., A 372, No. 46, 6909--6915 (2008; Zbl 1227.37016) Full Text: DOI
Yu, Fajun A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with \(\tilde{sl}(4)\). (English) Zbl 1225.35193 Phys. Lett., A 372, No. 44, 6613-6621 (2008). MSC: 35Q51 37K10 35C08 22E70 PDFBibTeX XMLCite \textit{F. Yu}, Phys. Lett., A 372, No. 44, 6613--6621 (2008; Zbl 1225.35193) Full Text: DOI
Fan, Engui; Dai, Huihui A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies. (English) Zbl 1221.37122 Phys. Lett., A 372, No. 25, 4578-4585 (2008). MSC: 37K10 70H40 83C15 PDFBibTeX XMLCite \textit{E. Fan} and \textit{H. Dai}, Phys. Lett., A 372, No. 25, 4578--4585 (2008; Zbl 1221.37122) Full Text: DOI
Yu, Fajun New block matrix spectral problem and Hamiltonian structure of the discrete integrable coupling system. (English) Zbl 1221.37141 Phys. Lett., A 372, No. 24, 4353-4360 (2008). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{F. Yu}, Phys. Lett., A 372, No. 24, 4353--4360 (2008; Zbl 1221.37141) Full Text: DOI
Ji, Jie; Yao, Yu-Qin; Zhu, Fu-Bo; Chen, Deng-Yuan Hierarchies of multi-component mKP equations and theirs integrable couplings. (English) Zbl 1220.37053 Phys. Lett., A 372, No. 21, 3824-3828 (2008). MSC: 37K10 35P30 PDFBibTeX XMLCite \textit{J. Ji} et al., Phys. Lett., A 372, No. 21, 3824--3828 (2008; Zbl 1220.37053) Full Text: DOI
Xu, Xi-Xiang A hierarchy of Liouville integrable discrete Hamiltonian equations. (English) Zbl 1220.37058 Phys. Lett., A 372, No. 20, 3683-3693 (2008). MSC: 37K10 37K60 PDFBibTeX XMLCite \textit{X.-X. Xu}, Phys. Lett., A 372, No. 20, 3683--3693 (2008; Zbl 1220.37058) Full Text: DOI
Yu, Fajun; Li, Li A new method to construct the integrable coupling system for discrete soliton equation with the Kronecker product. (English) Zbl 1220.35146 Phys. Lett., A 372, No. 20, 3548-3554 (2008). MSC: 35Q51 37K10 PDFBibTeX XMLCite \textit{F. Yu} and \textit{L. Li}, Phys. Lett., A 372, No. 20, 3548--3554 (2008; Zbl 1220.35146) Full Text: DOI
Zhu, Fu-Bo; Ji, Jie; Zhang, Jian-Bin Two hierarchies of multi-component Kaup-Newell equations and theirs integrable couplings. (English) Zbl 1217.37063 Phys. Lett., A 372, No. 8, 1244-1249 (2008). MSC: 37K10 37K15 PDFBibTeX XMLCite \textit{F.-B. Zhu} et al., Phys. Lett., A 372, No. 8, 1244--1249 (2008; Zbl 1217.37063) Full Text: DOI
Sun, Ye-Peng; Tam, Hon-Wah A hierarchy of non-isospectral multi-component AKNS equations and its integrable couplings. (English) Zbl 1209.37081 Phys. Lett., A 370, No. 2, 139-144 (2007). MSC: 37K10 35Q55 35Q51 PDFBibTeX XMLCite \textit{Y.-P. Sun} and \textit{H.-W. Tam}, Phys. Lett., A 370, No. 2, 139--144 (2007; Zbl 1209.37081) Full Text: DOI
Zhang, Yi; Lv, Yi-Neng; Ye, Ling-Ya; Zhao, Hai-Qiong The exact solutions to the complex KdV equation. (English) Zbl 1209.35123 Phys. Lett., A 367, No. 6, 465-472 (2007). MSC: 35Q53 35A30 35Q51 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Phys. Lett., A 367, No. 6, 465--472 (2007; Zbl 1209.35123) Full Text: DOI
Ma, Wen-Xiu; Xu, Xixiang; Zhang, Yufeng Semi-direct sums of Lie algebras and continuous integrable couplings. (English) Zbl 1234.37049 Phys. Lett., A 351, No. 3, 125-130 (2006). MSC: 37K30 17B80 PDFBibTeX XMLCite \textit{W.-X. Ma} et al., Phys. Lett., A 351, No. 3, 125--130 (2006; Zbl 1234.37049) Full Text: DOI arXiv
Sun, Yepeng; Chen, Dengyuan; Xu, Xixiang A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system. (English) Zbl 1236.37039 Phys. Lett., A 359, No. 1, 47-51 (2006). MSC: 37K10 PDFBibTeX XMLCite \textit{Y. Sun} et al., Phys. Lett., A 359, No. 1, 47--51 (2006; Zbl 1236.37039) Full Text: DOI
Yan, Zhenya The \((2+1)\)-dimensional integrable coupling of KdV equation: auto-Bäcklund transformation and new non-traveling wave profiles. (English) Zbl 1345.35094 Phys. Lett., A 345, No. 4-6, 362-377 (2005). MSC: 35Q53 35-04 35A30 37K10 37K35 PDFBibTeX XMLCite \textit{Z. Yan}, Phys. Lett., A 345, No. 4--6, 362--377 (2005; Zbl 1345.35094) Full Text: DOI
Ma, Wen-Xiu; Strampp, Walter Bilinear forms and Bäcklund transformations of the perturbation systems. (English) Zbl 1171.37332 Phys. Lett., A 341, No. 5-6, 441-449 (2005). MSC: 37K10 37K35 PDFBibTeX XMLCite \textit{W.-X. Ma} and \textit{W. Strampp}, Phys. Lett., A 341, No. 5--6, 441--449 (2005; Zbl 1171.37332) Full Text: DOI
Ma, Wenxiu Complexiton solutions to the Korteweg-de Vries equation. (English) Zbl 0997.35066 Phys. Lett., A 301, No. 1-2, 35-44 (2002). MSC: 35Q53 PDFBibTeX XMLCite \textit{W. Ma}, Phys. Lett., A 301, No. 1--2, 35--44 (2002; Zbl 0997.35066) Full Text: DOI
Ma, Wen-Xiu; Zhou, Ruguang Liouville integrability of perturbation systems of finite-dimensional integrable Hamiltonian systems. (English) Zbl 1154.70330 Phys. Lett., A 276, No. 1-4, 73-78 (2000). MSC: 70H06 37J35 37J40 70H09 PDFBibTeX XMLCite \textit{W.-X. Ma} and \textit{R. Zhou}, Phys. Lett., A 276, No. 1--4, 73--78 (2000; Zbl 1154.70330) Full Text: DOI
Yang, Lei; Yang, Kongqing; Luo, Honggang Complex version KdV equation and the periods solution. (English) Zbl 0944.35080 Phys. Lett., A 267, No. 5-6, 331-334 (2000). MSC: 35Q53 35B10 37K10 PDFBibTeX XMLCite \textit{L. Yang} et al., Phys. Lett., A 267, No. 5--6, 331--334 (2000; Zbl 0944.35080) Full Text: DOI arXiv
Gürses, Metin; Karasu, Atalay Integrable KdV systems: Recursion operators of degree four. (English) Zbl 0984.37081 Phys. Lett., A 251, No. 4, 247-249 (1999). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{M. Gürses} and \textit{A. Karasu}, Phys. Lett., A 251, No. 4, 247--249 (1999; Zbl 0984.37081) Full Text: DOI arXiv