Han, Guangfu; Li, Xinyue; Zhao, Qiulan; Li, Chuanzhong Interaction structures of multi localized waves within the Kadomtsev-Petviashvili I equation. (English) Zbl 07660951 Physica D 446, Article ID 133671, 11 p. (2023). MSC: 35G25 35Q35 35Q53 35Q55 PDF BibTeX XML Cite \textit{G. Han} et al., Physica D 446, Article ID 133671, 11 p. (2023; Zbl 07660951) Full Text: DOI OpenURL
Yuan, Yu-Qiang; Zhao, Xue-Hui Resonant solitons of the B-type Kadomtsev-Petviashvili equation. (English) Zbl 07644896 Phys. Lett., A 458, Article ID 128592, 5 p. (2023). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{Y.-Q. Yuan} and \textit{X.-H. Zhao}, Phys. Lett., A 458, Article ID 128592, 5 p. (2023; Zbl 07644896) Full Text: DOI OpenURL
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: 81-XX 82-XX PDF BibTeX XML Cite \textit{X. Yan} et al., Phys. Lett., A 457, Article ID 128574, 9 p. (2023; Zbl 07642367) Full Text: DOI OpenURL
Erbay, H. A.; Erbay, S.; Erkip, A. On the full dispersion Kadomtsev-Petviashvili equations for dispersive elastic waves. (English) Zbl 07655102 Wave Motion 114, Article ID 103015, 10 p. (2022). MSC: 35Q74 74J35 74B20 PDF BibTeX XML Cite \textit{H. A. Erbay} et al., Wave Motion 114, Article ID 103015, 10 p. (2022; Zbl 07655102) Full Text: DOI arXiv OpenURL
Xu, Xiaoxue; Cao, Cewen; Zhang, Da-jun Algebro-geometric solutions to the lattice potential modified Kadomtsev-Petviashvili equation. (English) Zbl 07639753 J. Phys. A, Math. Theor. 55, No. 37, Article ID 375201, 28 p. (2022). MSC: 35Q51 37K60 39A36 PDF BibTeX XML Cite \textit{X. Xu} et al., J. Phys. A, Math. Theor. 55, No. 37, Article ID 375201, 28 p. (2022; Zbl 07639753) Full Text: DOI arXiv OpenURL
Moon, Byungsoo Existence of the periodic peaked solitary-wave solutions to the Camassa-Holm-Kadomtsev-Petviashvili equation. (English) Zbl 1502.35141 J. Nonlinear Math. Phys. 29, No. 4, 905-918 (2022). MSC: 35Q51 35Q53 35G25 35Q35 35C08 PDF BibTeX XML Cite \textit{B. Moon}, J. Nonlinear Math. Phys. 29, No. 4, 905--918 (2022; Zbl 1502.35141) Full Text: DOI OpenURL
Gaillard, Pierre Families of solutions to the KPI equation given by an extended Darboux transformation. (English) Zbl 07634967 SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 80, 14 p. (2022). MSC: 35G25 35A22 PDF BibTeX XML Cite \textit{P. Gaillard}, SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 80, 14 p. (2022; Zbl 07634967) Full Text: DOI OpenURL
Feng, Bao-Feng; Shi, Changyan; Zhang, Guangxiong; Wu, Chengfa Higher-order rogue wave solutions of the Sasa-Satsuma equation. (English) Zbl 07618039 J. Phys. A, Math. Theor. 55, No. 23, Article ID 235701, 24 p. (2022). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{B.-F. Feng} et al., J. Phys. A, Math. Theor. 55, No. 23, Article ID 235701, 24 p. (2022; Zbl 07618039) Full Text: DOI OpenURL
Chakravarty, Sarbarish; Zowada, Michael Classification of KPI lumps. (English) Zbl 07617419 J. Phys. A, Math. Theor. 55, No. 21, Article ID 215701, 45 p. (2022). MSC: 35Q53 PDF BibTeX XML Cite \textit{S. Chakravarty} and \textit{M. Zowada}, J. Phys. A, Math. Theor. 55, No. 21, Article ID 215701, 45 p. (2022; Zbl 07617419) Full Text: DOI arXiv OpenURL
Chakravarty, Sarbarish; Zowada, Michael Dynamics of KPI lumps. (English) Zbl 07617399 J. Phys. A, Math. Theor. 55, No. 19, Article ID 195701, 28 p. (2022). MSC: 35Q53 PDF BibTeX XML Cite \textit{S. Chakravarty} and \textit{M. Zowada}, J. Phys. A, Math. Theor. 55, No. 19, Article ID 195701, 28 p. (2022; Zbl 07617399) Full Text: DOI arXiv OpenURL
Hristov, Nikolay; Pelinovsky, Dmitry E. Justification of the KP-II approximation in dynamics of two-dimensional FPU systems. (English) Zbl 1498.35476 Z. Angew. Math. Phys. 73, No. 5, Paper No. 213, 26 p. (2022). MSC: 35Q53 37K60 82C20 35C08 35C09 35A01 35A02 PDF BibTeX XML Cite \textit{N. Hristov} and \textit{D. E. Pelinovsky}, Z. Angew. Math. Phys. 73, No. 5, Paper No. 213, 26 p. (2022; Zbl 1498.35476) Full Text: DOI arXiv OpenURL
Choi, J.; Bokhove, O.; Kalogirou, A.; Kelmanson, M. A. Numerical experiments on extreme waves through oblique-soliton interactions. (English) Zbl 07581207 Water Waves 4, No. 2, 139-179 (2022). MSC: 76B25 76B15 76M10 PDF BibTeX XML Cite \textit{J. Choi} et al., Water Waves 4, No. 2, 139--179 (2022; Zbl 07581207) Full Text: DOI OpenURL
Feng, Bao-Feng; Ma, Ruyun; Zhang, Yujuan General breather and rogue wave solutions to the complex short pulse equation. (English) Zbl 1496.35138 Physica D 439, Article ID 133360, 16 p. (2022). MSC: 35C05 35C08 35G25 PDF BibTeX XML Cite \textit{B.-F. Feng} et al., Physica D 439, Article ID 133360, 16 p. (2022; Zbl 1496.35138) Full Text: DOI OpenURL
Kuo, Chun-Ku; Ma, Wen-Xiu An effective approach for constructing novel KP-like equations. (English) Zbl 07563733 Waves Random Complex Media 32, No. 2, 629-640 (2022). MSC: 76B25 35Q51 PDF BibTeX XML Cite \textit{C.-K. Kuo} and \textit{W.-X. Ma}, Waves Random Complex Media 32, No. 2, 629--640 (2022; Zbl 07563733) Full Text: DOI OpenURL
Cullen, Joseph D.; Ivanov, Rossen I. Hamiltonian description of internal ocean waves with Coriolis force. (English) Zbl 1491.35332 Commun. Pure Appl. Anal. 21, No. 7, 2291-2307 (2022). MSC: 35Q35 35Q86 35Q53 76B55 76U60 37K10 PDF BibTeX XML Cite \textit{J. D. Cullen} and \textit{R. I. Ivanov}, Commun. Pure Appl. Anal. 21, No. 7, 2291--2307 (2022; Zbl 1491.35332) Full Text: DOI arXiv OpenURL
Zhang, Zhao; Li, Biao; Chen, Junchao; Guo, Qi; Stepanyants, Yury Degenerate lump interactions within the Kadomtsev-Petviashvili equation. (English) Zbl 1498.37109 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106555, 14 p. (2022). MSC: 37K40 35Q51 35C08 35P25 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106555, 14 p. (2022; Zbl 1498.37109) Full Text: DOI OpenURL
Adeyemo, Oke Davies; Khalique, Chaudry Masood Dynamics of soliton waves of group-invariant solutions through optimal system of an extended KP-like equation in higher dimensions with applications in medical sciences and mathematical physics. (English) Zbl 1490.35092 J. Geom. Phys. 177, Article ID 104502, 28 p. (2022). MSC: 35C08 35B06 35G25 35Q51 PDF BibTeX XML Cite \textit{O. D. Adeyemo} and \textit{C. M. Khalique}, J. Geom. Phys. 177, Article ID 104502, 28 p. (2022; Zbl 1490.35092) Full Text: DOI OpenURL
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. (English) Zbl 1489.35257 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022). MSC: 35Q55 35Q35 86A05 35C08 37N10 PDF BibTeX XML Cite \textit{J. Rao} et al., Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022; Zbl 1489.35257) Full Text: DOI OpenURL
Morales Paredes, Jorge; Méndez, Félix Humberto Soriano On the Cauchy problems associated to a ZK-KP-type family equations with a transversal fractional dispersion. (English) Zbl 1492.35277 Discrete Contin. Dyn. Syst. 42, No. 5, 2257-5593 (2022). MSC: 35Q53 35Q35 35A01 35A02 26A33 35R11 35R25 PDF BibTeX XML Cite \textit{J. Morales Paredes} and \textit{F. H. S. Méndez}, Discrete Contin. Dyn. Syst. 42, No. 5, 2257--5593 (2022; Zbl 1492.35277) Full Text: DOI OpenURL
Cai, Jiaxiang; Chen, Juan; Chen, Min Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation. (English) Zbl 1491.65159 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2441-2453 (2022). MSC: 65P10 65N35 65N06 35Q53 PDF BibTeX XML Cite \textit{J. Cai} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2441--2453 (2022; Zbl 1491.65159) Full Text: DOI OpenURL
Zhao, Xin; Tian, Bo; Qu, Qi-Xing; Li, He; Zhao, Xue-Hui; Zhang, Chen-Rong; Chen, Su-Su Kadomtsev-Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid. (English) Zbl 1499.35154 Int. J. Comput. Math. 99, No. 3, 407-425 (2022). MSC: 35C06 35C08 35Q53 76B25 PDF BibTeX XML Cite \textit{X. Zhao} et al., Int. J. Comput. Math. 99, No. 3, 407--425 (2022; Zbl 1499.35154) Full Text: DOI OpenURL
Wu, Jianping \(N\)-soliton, \(M\)-breather and hybrid solutions of a time-dependent Kadomtsev-Petviashvili equation. (English) Zbl 07478786 Math. Comput. Simul. 194, 89-96 (2022). MSC: 35-XX 37-XX PDF BibTeX XML Cite \textit{J. Wu}, Math. Comput. Simul. 194, 89--96 (2022; Zbl 07478786) Full Text: DOI OpenURL
Esfahani, Amin; Levandosky, Steve Instability and blow-up of solutions of the fifth-order KP equation. (English) Zbl 07472986 J. Math. Anal. Appl. 509, No. 2, Article ID 125953, 28 p. (2022). MSC: 35Q35 35Q53 76B15 76B45 35C08 35B35 35B44 35A15 35A01 PDF BibTeX XML Cite \textit{A. Esfahani} and \textit{S. Levandosky}, J. Math. Anal. Appl. 509, No. 2, Article ID 125953, 28 p. (2022; Zbl 07472986) Full Text: DOI OpenURL
Sun, Yong-Li; Chen, Jing; Ma, Wen-Xiu; Yu, Jian-Ping; Khalique, Chaudry Masood Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili equation. (English) Zbl 07469342 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106131, 11 p. (2022). MSC: 35Q53 35Q51 37K10 35C08 PDF BibTeX XML Cite \textit{Y.-L. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106131, 11 p. (2022; Zbl 07469342) Full Text: DOI OpenURL
Zhang, Zhao; Li, Biao; Wazwaz, Abdul-Majid; Guo, Qi Lump molecules in fluid systems: Kadomtsev-Petviashvili I case. (English) Zbl 07452208 Phys. Lett., A 424, Article ID 127848, 10 p. (2022). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{Z. Zhang} et al., Phys. Lett., A 424, Article ID 127848, 10 p. (2022; Zbl 07452208) Full Text: DOI OpenURL
Zhang, Xue; Wang, Lei; Chen, Wei-Qin; Yao, Xue-Min; Wang, Xin; Zhao, Yin-Chuan Dynamics of transformed nonlinear waves in the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. I: Transitions mechanisms. (English) Zbl 1497.35396 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106070, 17 p. (2022). MSC: 35Q35 35Q53 35C08 76B25 37K35 37K40 PDF BibTeX XML Cite \textit{X. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106070, 17 p. (2022; Zbl 1497.35396) Full Text: DOI OpenURL
Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. (English) Zbl 1497.35440 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106067, 15 p. (2022). MSC: 35Q55 35Q53 35C08 35C09 37K35 68T07 PDF BibTeX XML Cite \textit{W.-Q. Peng} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106067, 15 p. (2022; Zbl 1497.35440) Full Text: DOI arXiv OpenURL
Xie, Yingying; Yan, Yongsheng; Li, Lingfei Optical nondiffractive and nondispersive dark-wave dynamics in hydrodynamic origin. (English) Zbl 07654529 J. Phys. A, Math. Theor. 54, No. 42, Article ID 425201, 19 p. (2021). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{Y. Xie} et al., J. Phys. A, Math. Theor. 54, No. 42, Article ID 425201, 19 p. (2021; Zbl 07654529) Full Text: DOI OpenURL
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Similarity reductions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in nonlinear optics, fluid mechanics and plasma physics. (English) Zbl 1501.76057 Appl. Comput. Math. 20, No. 3, 421-429 (2021). MSC: 76M55 76B15 76X05 78A10 35Q35 35Q60 PDF BibTeX XML Cite \textit{X.-Y. Gao} et al., Appl. Comput. Math. 20, No. 3, 421--429 (2021; Zbl 1501.76057) Full Text: Link OpenURL
Boukarou, Aissa; Guerbati, Kaddour; Zennir, Khaled; Alnegga, Mohammad Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation. (English) Zbl 07536319 AIMS Math. 6, No. 9, 10037-10054 (2021). MSC: 35Q35 35Q53 PDF BibTeX XML Cite \textit{A. Boukarou} et al., AIMS Math. 6, No. 9, 10037--10054 (2021; Zbl 07536319) Full Text: DOI OpenURL
Lu, Huanhuan; Zhang, Yufeng The application of the \(\bar\partial\)-dressing method to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1487.35009 Rocky Mt. J. Math. 51, No. 6, 2137-2145 (2021). MSC: 35A08 37K10 PDF BibTeX XML Cite \textit{H. Lu} and \textit{Y. Zhang}, Rocky Mt. J. Math. 51, No. 6, 2137--2145 (2021; Zbl 1487.35009) Full Text: DOI Link OpenURL
Li, Junjie; Singh, Gurpreet; İlhan, Onur Alp; Manafian, Jalil; Gasimov, Yusif S. Modulational instability, multiple exp-function method, SIVP, solitary and cross-kink solutions for the generalized KP equation. (English) Zbl 1484.35126 AIMS Math. 6, No. 7, 7555-7584 (2021). MSC: 35C08 35A20 35A24 35A25 35B10 70K50 PDF BibTeX XML Cite \textit{J. Li} et al., AIMS Math. 6, No. 7, 7555--7584 (2021; Zbl 1484.35126) Full Text: DOI OpenURL
Fan, Lulu; Bao, Taogetusang Lumps and interaction solutions to the \((4+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. (English) Zbl 1496.37074 Int. J. Mod. Phys. B 35, No. 23, Article ID 2150233, 24 p. (2021). MSC: 37K40 35Q35 35Q51 35C08 PDF BibTeX XML Cite \textit{L. Fan} and \textit{T. Bao}, Int. J. Mod. Phys. B 35, No. 23, Article ID 2150233, 24 p. (2021; Zbl 1496.37074) Full Text: DOI OpenURL
Kaptsov, O. V.; Kaptsov, D. O. Symmetries and solutions of the three-dimensional Kadomtsev-Petviashvili equation. (English. Russian original) Zbl 1486.35012 J. Appl. Mech. Tech. Phys. 62, No. 4, 649-653 (2021); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 142-147 (2021). MSC: 35B06 35C08 PDF BibTeX XML Cite \textit{O. V. Kaptsov} and \textit{D. O. Kaptsov}, J. Appl. Mech. Tech. Phys. 62, No. 4, 649--653 (2021; Zbl 1486.35012); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 142--147 (2021) Full Text: DOI OpenURL
Wang, Miaomiao; Qi, Zequn; Chen, Junchao; Li, Biao Resonance Y-shaped soliton and interaction solutions in the \((2+1)\)-dimensional B-type Kadomtsev-Petviashvili equation. (English) Zbl 1490.35101 Int. J. Mod. Phys. B 35, No. 21, Article ID 2150222, 10 p. (2021). MSC: 35C08 35C05 35C07 35Q51 76B15 PDF BibTeX XML Cite \textit{M. Wang} et al., Int. J. Mod. Phys. B 35, No. 21, Article ID 2150222, 10 p. (2021; Zbl 1490.35101) Full Text: DOI OpenURL
Raut, Santanu; Roy, Ashim; Mondal, Kajal Kumar; Chatterjee, Prasanta; Chadha, Naresh M. Non-stationary solitary wave solution for damped forced Kadomtsev-Petviashvili equation in a magnetized dusty plasma with q-nonextensive velocity distributed electron. (English) Zbl 1499.82043 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 223, 20 p. (2021). MSC: 82D10 35C08 35C07 35Q53 PDF BibTeX XML Cite \textit{S. Raut} et al., Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 223, 20 p. (2021; Zbl 1499.82043) Full Text: DOI OpenURL
Kharshiladze, Oleg; Belashov, Vasily; Belashova, Elena Solitons on a shallow fluid of variable depth. (English) Zbl 1487.76022 Trans. A. Razmadze Math. Inst. 175, No. 2, 215-224 (2021). MSC: 76B25 76B15 76B45 76M20 PDF BibTeX XML Cite \textit{O. Kharshiladze} et al., Trans. A. Razmadze Math. Inst. 175, No. 2, 215--224 (2021; Zbl 1487.76022) Full Text: Link OpenURL
Dubrovsky, V. G.; Topovsky, A. V. Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method. (English) Zbl 1484.35122 Physica D 428, Article ID 133025, 12 p. (2021). MSC: 35C08 35G31 PDF BibTeX XML Cite \textit{V. G. Dubrovsky} and \textit{A. V. Topovsky}, Physica D 428, Article ID 133025, 12 p. (2021; Zbl 1484.35122) Full Text: DOI arXiv arXiv OpenURL
Guo, Lijuan; Chabchoub, Amin; He, Jingsong Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation. (English) Zbl 1484.35124 Physica D 426, Article ID 132990, 10 p. (2021). MSC: 35C08 35Q53 35Q35 PDF BibTeX XML Cite \textit{L. Guo} et al., Physica D 426, Article ID 132990, 10 p. (2021; Zbl 1484.35124) Full Text: DOI OpenURL
Liu, Shao-Hua; Tian, Bo; Qu, Qi-Xing; Li, He; Zhao, Xue-Hui; Du, Xia-Xia; Chen, Su-Su Breather, lump, shock and travelling-wave solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics. (English) Zbl 1479.35680 Int. J. Comput. Math. 98, No. 6, 1130-1145 (2021). MSC: 35Q35 35Q53 76X05 PDF BibTeX XML Cite \textit{S.-H. Liu} et al., Int. J. Comput. Math. 98, No. 6, 1130--1145 (2021; Zbl 1479.35680) Full Text: DOI OpenURL
Lu, Qingchen; Ilhan, Onur Alp; Manafian, Jalil; Avazpour, Laleh Multiple rogue wave solutions for a variable-coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1479.35683 Int. J. Comput. Math. 98, No. 7, 1457-1473 (2021). MSC: 35Q35 35Q51 35Q85 PDF BibTeX XML Cite \textit{Q. Lu} et al., Int. J. Comput. Math. 98, No. 7, 1457--1473 (2021; Zbl 1479.35683) Full Text: DOI OpenURL
Raut, Santanu; Mondal, Kajal Kumar; Chatterjee, Prasanta; Roy, Ashim Propagation of dust-ion-acoustic solitary waves for damped modified Kadomtsev-Petviashvili-Burgers equation in dusty plasma with a q-nonextensive nonthermal electron velocity distribution. (English) Zbl 1483.76071 S\(\vec{\text{e}}\)MA J. 78, No. 4, 571-593 (2021). MSC: 76X05 76Q05 76M45 PDF BibTeX XML Cite \textit{S. Raut} et al., S\(\vec{\text{e}}\)MA J. 78, No. 4, 571--593 (2021; Zbl 1483.76071) Full Text: DOI OpenURL
Lin, Fubiao; Zhang, Qianhong New traveling wave solutions of a class of Kadomtsev-Petviashvili and \((3 + 1)\)-dimensional KdV-type equations. (Chinese. English summary) Zbl 1488.35150 J. Northeast Norm. Univ., Nat. Sci. Ed. 53, No. 2, 25-29 (2021). MSC: 35C07 35Q53 PDF BibTeX XML Cite \textit{F. Lin} and \textit{Q. Zhang}, J. Northeast Norm. Univ., Nat. Sci. Ed. 53, No. 2, 25--29 (2021; Zbl 1488.35150) Full Text: DOI OpenURL
Zhang, Sheng; Zhang, Dexin Analytical methods for the variable-coefficient KP equation and its wave solutions in weakly dispersive media. (English) Zbl 1479.35184 GEM. Int. J. Geomath. 12, Paper No. 13, 14 p. (2021). MSC: 35C05 35A20 35G25 37K10 37K40 83C15 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{D. Zhang}, GEM. Int. J. Geomath. 12, Paper No. 13, 14 p. (2021; Zbl 1479.35184) Full Text: DOI OpenURL
Manafian, Jalil Multiple rogue wave solutions and the linear superposition principle for a \((3 + 1)\)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation arising in energy distributions. (English) Zbl 1492.35226 Math. Methods Appl. Sci. 44, No. 18, 14079-14093 (2021). Reviewer: Andrew Pickering (Madrid) MSC: 35Q35 35Q53 35C08 PDF BibTeX XML Cite \textit{J. Manafian}, Math. Methods Appl. Sci. 44, No. 18, 14079--14093 (2021; Zbl 1492.35226) Full Text: DOI OpenURL
Pandir, Yusuf; Turhan, Nail Multiple soliton solutions for nonlinear differential equations with a new version of extended F-expansion method. (English) Zbl 1490.35096 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 3, 495-501 (2021). MSC: 35C08 37K40 PDF BibTeX XML Cite \textit{Y. Pandir} and \textit{N. Turhan}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 3, 495--501 (2021; Zbl 1490.35096) Full Text: DOI OpenURL
Liu, Yaqing; Ren, Bo; Wang, Deng-Shan Localised nonlinear wave interaction in the generalised Kadomtsev-Petviashvili equation. (English) Zbl 1484.37081 East Asian J. Appl. Math. 11, No. 2, 301-325 (2021). MSC: 37K40 37K10 35Q51 35C08 PDF BibTeX XML Cite \textit{Y. Liu} et al., East Asian J. Appl. Math. 11, No. 2, 301--325 (2021; Zbl 1484.37081) Full Text: DOI OpenURL
Zhu, Yuting; Chen, Chunfang; Chen, Jianhua; Yuan, Chenggui Multiple solutions and ground state solutions for a class of generalized Kadomtsev-Petviashvili equation. (English) Zbl 1483.35191 Open Math. 19, 297-305 (2021). MSC: 35Q53 35C08 PDF BibTeX XML Cite \textit{Y. Zhu} et al., Open Math. 19, 297--305 (2021; Zbl 1483.35191) Full Text: DOI OpenURL
Ma, Yu-Lan; Wazwaz, Abdul-Majid; Li, Bang-Qing A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves. (English) Zbl 07428971 Math. Comput. Simul. 187, 505-519 (2021). MSC: 35-XX 37-XX PDF BibTeX XML Cite \textit{Y.-L. Ma} et al., Math. Comput. Simul. 187, 505--519 (2021; Zbl 07428971) Full Text: DOI OpenURL
Tang, Yaning; Ma, Jinli; Zhou, Bingchang; Zhou, Jiale From 2Mth-order Wronskian determinant solutions to Mth-order lump solutions for the (2+1)-dimensional Kadomtsev-Petviashvili I equation. (English) Zbl 07428508 Wave Motion 104, Article ID 102746, 15 p. (2021). MSC: 35-XX 34-XX PDF BibTeX XML Cite \textit{Y. Tang} et al., Wave Motion 104, Article ID 102746, 15 p. (2021; Zbl 07428508) 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
Lü, Xing; Chen, Si-Jia New general interaction solutions to the KPI equation via an optional decoupling condition approach. (English) Zbl 1478.35083 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105939, 10 p. (2021). MSC: 35C08 35A25 37K10 PDF BibTeX XML Cite \textit{X. Lü} and \textit{S.-J. Chen}, Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105939, 10 p. (2021; Zbl 1478.35083) Full Text: DOI OpenURL
Ma, Wen-Xiu; Yong, Xuelin; Lü, Xing Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations. (English) Zbl 07425573 Wave Motion 103, Article ID 102719, 7 p. (2021). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma} et al., Wave Motion 103, Article ID 102719, 7 p. (2021; Zbl 07425573) Full Text: DOI OpenURL
Rao, Jiguang; Chow, Kwok Wing; Mihalache, Dumitru; He, Jingsong Completely resonant collision of lumps and line solitons in the Kadomtsev-Petviashvili I equation. (English) Zbl 1476.35081 Stud. Appl. Math. 147, No. 3, 1007-1035 (2021). MSC: 35C08 35G25 PDF BibTeX XML Cite \textit{J. Rao} et al., Stud. Appl. Math. 147, No. 3, 1007--1035 (2021; Zbl 1476.35081) Full Text: DOI OpenURL
Gui, Guilong; Liu, Yue; Luo, Wei; Yin, Zhaoyang On a two dimensional nonlocal shallow-water model. (English) Zbl 1477.35162 Adv. Math. 392, Article ID 108021, 44 p. (2021). MSC: 35Q35 76B15 76B25 35G25 35B44 35B40 35B53 35C07 35C08 35A01 35A02 35D35 PDF BibTeX XML Cite \textit{G. Gui} et al., Adv. Math. 392, Article ID 108021, 44 p. (2021; Zbl 1477.35162) Full Text: DOI OpenURL
Moretlo, T. S.; Muatjetjeja, B.; Adem, A. R. Lie symmetry analysis and conservation laws of a two-wave mode equation for the integrable Kadomtsev-Petviashvili equation. (English) Zbl 1472.37071 J. Appl. Nonlinear Dyn. 10, No. 1, 65-79 (2021). MSC: 37K10 35B06 PDF BibTeX XML Cite \textit{T. S. Moretlo} et al., J. Appl. Nonlinear Dyn. 10, No. 1, 65--79 (2021; Zbl 1472.37071) Full Text: DOI OpenURL
Ma, Yu-Lan; Wazwaz, Abdul-Majid; Li, Bang-Qing Novel bifurcation solitons for an extended Kadomtsev-Petviashvili equation in fluids. (English) Zbl 07412626 Phys. Lett., A 413, Article ID 127585, 8 p. (2021). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{Y.-L. Ma} et al., Phys. Lett., A 413, Article ID 127585, 8 p. (2021; Zbl 07412626) Full Text: DOI OpenURL
Yuan, Yu-Qiang Periodic-wave and semi-rational solutions for the \((3+1)\)-dimensional Yu-Toda-Sasa-Fukuyama equation. (English) Zbl 1475.35122 Appl. Math. Lett. 120, Article ID 107207, 8 p. (2021). MSC: 35G25 35C07 35C08 PDF BibTeX XML Cite \textit{Y.-Q. Yuan}, Appl. Math. Lett. 120, Article ID 107207, 8 p. (2021; Zbl 1475.35122) Full Text: DOI OpenURL
Wang, Yun-Hu Nonautonomous lump solutions for a variable-coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1479.35751 Appl. Math. Lett. 119, Article ID 107201, 7 p. (2021). MSC: 35Q53 35Q51 35C08 37K40 PDF BibTeX XML Cite \textit{Y.-H. Wang}, Appl. Math. Lett. 119, Article ID 107201, 7 p. (2021; Zbl 1479.35751) Full Text: DOI OpenURL
Klein, Christian; Stoilov, Nikola Numerical study of break-up in solutions to the dispersionless Kadomtsev-Petviashvili equation. (English) Zbl 1486.65202 Lett. Math. Phys. 111, No. 5, Paper No. 113, 15 p. (2021). Reviewer: Anouar Ben Mabrouk (Monastir) MSC: 65M70 65M06 65T50 65N35 76L05 35Q53 PDF BibTeX XML Cite \textit{C. Klein} and \textit{N. Stoilov}, Lett. Math. Phys. 111, No. 5, Paper No. 113, 15 p. (2021; Zbl 1486.65202) Full Text: DOI OpenURL
Feng, Yueyang; Bilige, Sudao Resonant multi-soliton, M-breather, M-lump and hybrid solutions of a combined pKP-BKP equation. (English) Zbl 1486.35360 J. Geom. Phys. 169, Article ID 104322, 12 p. (2021). MSC: 35Q53 35Q51 37K40 35C08 68W30 PDF BibTeX XML Cite \textit{Y. Feng} and \textit{S. Bilige}, J. Geom. Phys. 169, Article ID 104322, 12 p. (2021; Zbl 1486.35360) Full Text: DOI OpenURL
Liu, Jian-Guo; Zhu, Wen-Hui; He, Yan Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients. (English) Zbl 1470.35122 Z. Angew. Math. Phys. 72, No. 4, Paper No. 154, 12 p. (2021). MSC: 35C08 35G25 35Q35 68M07 33F10 PDF BibTeX XML Cite \textit{J.-G. Liu} et al., Z. Angew. Math. Phys. 72, No. 4, Paper No. 154, 12 p. (2021; Zbl 1470.35122) Full Text: DOI arXiv OpenURL
Zhao, Jin; Manafian, Jalil; Zaya, Neven E.; Mohammed, Sizar Abid Multiple rogue wave, lump-periodic, lump-soliton, and interaction between \(k\)-lump and \(k\)-stripe soliton solutions for the generalized KP equation. (English) Zbl 1470.35126 Math. Methods Appl. Sci. 44, No. 6, 5079-5098 (2021). MSC: 35C08 35G20 47J06 47H10 PDF BibTeX XML Cite \textit{J. Zhao} et al., Math. Methods Appl. Sci. 44, No. 6, 5079--5098 (2021; Zbl 1470.35126) Full Text: DOI OpenURL
Ma, Yong-Xin; Tian, Bo; Qu, Qi-Xing; Yang, Dan-Yu; Chen, Yu-Qi Painlevé analysis, Bäcklund transformations and traveling-wave solutions for a \((3 + 1)\)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid. (English) Zbl 1462.35338 Int. J. Mod. Phys. B 35, No. 7, Article ID 2150108, 13 p. (2021). MSC: 35Q53 35C07 35A22 PDF BibTeX XML Cite \textit{Y.-X. Ma} et al., Int. J. Mod. Phys. B 35, No. 7, Article ID 2150108, 13 p. (2021; Zbl 1462.35338) Full Text: DOI OpenURL
Zhu, Wen-Hui; Liu, Jian-Guo Stripe solitons and lump solutions to a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics. (English) Zbl 1467.35095 J. Math. Anal. Appl. 502, No. 1, Article ID 125198, 12 p. (2021). MSC: 35C08 35G25 35Q35 PDF BibTeX XML Cite \textit{W.-H. Zhu} and \textit{J.-G. Liu}, J. Math. Anal. Appl. 502, No. 1, Article ID 125198, 12 p. (2021; Zbl 1467.35095) 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
Li, Lingfei; Xie, Yingying; Mei, Liquan Multiple-order rogue waves for the generalized \(( 2 + 1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1473.37090 Appl. Math. Lett. 117, Article ID 107079, 8 p. (2021). Reviewer: Wenjun Liu (Nanjing) MSC: 37K40 PDF BibTeX XML Cite \textit{L. Li} et al., Appl. Math. Lett. 117, Article ID 107079, 8 p. (2021; Zbl 1473.37090) Full Text: DOI OpenURL
Ren, Jianguo; Ilhan, Onur Alp; Bulut, Hasan; Manafian, Jalil Multiple rogue wave, dark, bright, and solitary wave solutions to the KP-BBM equation. (English) Zbl 1465.37081 J. Geom. Phys. 164, Article ID 104159, 16 p. (2021). MSC: 37K40 37K10 37K58 PDF BibTeX XML Cite \textit{J. Ren} et al., J. Geom. Phys. 164, Article ID 104159, 16 p. (2021; Zbl 1465.37081) Full Text: DOI OpenURL
Guo, Jutong; He, Jingsong; Li, Maohua; Mihalache, Dumitru Multiple-order line rogue wave solutions of extended Kadomtsev-Petviashvili equation. (English) Zbl 07318194 Math. Comput. Simul. 180, 251-257 (2021). MSC: 37Kxx 58Jxx 35Qxx 37Jxx PDF BibTeX XML Cite \textit{J. Guo} et al., Math. Comput. Simul. 180, 251--257 (2021; Zbl 07318194) Full Text: DOI OpenURL
Pilod, Didier; Saut, Jean-Claude; Selberg, Sigmund; Tesfahun, Achenef Dispersive estimates for full dispersion KP equations. (English) Zbl 1458.35083 J. Math. Fluid Mech. 23, No. 1, Paper No. 25, 25 p. (2021). MSC: 35B45 35Q35 35Q53 42B20 PDF BibTeX XML Cite \textit{D. Pilod} et al., J. Math. Fluid Mech. 23, No. 1, Paper No. 25, 25 p. (2021; Zbl 1458.35083) Full Text: DOI arXiv OpenURL
Wang, Xueru; Zhu, Junyi; Qiao, Zhijun New solutions to the differential-difference KP equation. (English) Zbl 1458.35021 Appl. Math. Lett. 113, Article ID 106836, 8 p. (2021). MSC: 35B06 35Q53 35R09 PDF BibTeX XML Cite \textit{X. Wang} et al., Appl. Math. Lett. 113, Article ID 106836, 8 p. (2021; Zbl 1458.35021) Full Text: DOI OpenURL
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Yuan, Yu-Qiang; Zhang, Chen-Rong; Chen, Su-Su Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and \(N\) solitons for a generalized \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system. (English) Zbl 1455.35248 Appl. Math. Lett. 111, Article ID 106627, 8 p. (2021). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 35Q53 78A25 78A60 78A40 78A50 76X05 76Q05 76B25 82D40 82D10 74K35 37K35 35C08 68W30 PDF BibTeX XML Cite \textit{X.-Y. Gao} et al., Appl. Math. Lett. 111, Article ID 106627, 8 p. (2021; Zbl 1455.35248) Full Text: DOI OpenURL
Ma, Yu-Lan; Li, Bang-Qing Mixed lump and soliton solutions for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1484.35338 AIMS Math. 5, No. 2, 1162-1176 (2020). MSC: 35Q53 35B40 35C08 37K40 PDF BibTeX XML Cite \textit{Y.-L. Ma} and \textit{B.-Q. Li}, AIMS Math. 5, No. 2, 1162--1176 (2020; Zbl 1484.35338) Full Text: DOI OpenURL
Rui, Wenjuan; Zhang, Yufeng Soliton and lump-soliton solutions in the Grammian form for the Bogoyavlenskii-Kadomtsev-Petviashvili equation. (English) Zbl 1482.35196 Adv. Difference Equ. 2020, Paper No. 195, 12 p. (2020). MSC: 35Q51 35C08 37K40 37K10 PDF BibTeX XML Cite \textit{W. Rui} and \textit{Y. Zhang}, Adv. Difference Equ. 2020, Paper No. 195, 12 p. (2020; Zbl 1482.35196) Full Text: DOI OpenURL
Wang, Meng; Tian, Bo; Qu, Qi-Xing; Zhao, Xue-Hui; Zhang, Ze; Tian, He-Yuan Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics. (English) Zbl 1483.35166 Int. J. Comput. Math. 97, No. 12, 2474-2486 (2020). MSC: 35Q35 35D99 76X05 82D10 PDF BibTeX XML Cite \textit{M. Wang} et al., Int. J. Comput. Math. 97, No. 12, 2474--2486 (2020; Zbl 1483.35166) Full Text: DOI OpenURL
Kharshiladze, Oleg; Belashov, Vasily; Belashova, Elena Dynamics of \(2D\) solitons in media with variable dispersion: simulation and applications. (English) Zbl 1478.35082 Trans. A. Razmadze Math. Inst. 174, No. 3, 363-367 (2020). MSC: 35C08 35Q51 76B15 PDF BibTeX XML Cite \textit{O. Kharshiladze} et al., Trans. A. Razmadze Math. Inst. 174, No. 3, 363--367 (2020; Zbl 1478.35082) Full Text: Link OpenURL
Abdou, M. A.; Owyed, Saud; Ray, S. Saha; Chu, Yu-Ming; Inc, Mustafa; Ouahid, Loubna Fractal ion acoustic waves of the space-time fractional three dimensional KP equation. (English) Zbl 1478.35067 Adv. Math. Phys. 2020, Article ID 8323148, 7 p. (2020). MSC: 35C05 35Q53 PDF BibTeX XML Cite \textit{M. A. Abdou} et al., Adv. Math. Phys. 2020, Article ID 8323148, 7 p. (2020; Zbl 1478.35067) Full Text: DOI OpenURL
Boukarou, A.; Zennir, Kh.; Guerbati, K.; Svetlin, G. G. Well-posedness and regularity of the fifth order Kadomtsev-Petviashvili I equation in the analytic Bourgain spaces. (English) Zbl 1462.35143 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 2, 255-272 (2020). MSC: 35G25 35Q53 35B65 35C07 PDF BibTeX XML Cite \textit{A. Boukarou} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 2, 255--272 (2020; Zbl 1462.35143) Full Text: DOI OpenURL
Wang, Huimin; Liu, Yanhong Numerical simulation of ion-acoustic wave in quantum plasmas based on lattice Boltzmann method. (Chinese. English summary) Zbl 1474.65404 J. Jilin Univ., Sci. 58, No. 6, 1334-1338 (2020). MSC: 65M75 76M28 35Q35 76Q05 76Y05 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Liu}, J. Jilin Univ., Sci. 58, No. 6, 1334--1338 (2020; Zbl 1474.65404) Full Text: DOI OpenURL
Ren, Bo; Lin, Ji; Lou, Zhi-Mei Lumps and their interaction solutions of a (2+1)-dimensional generalized potential Kadomtsev-Petviashvili equation. (English) Zbl 1464.35290 J. Appl. Anal. Comput. 10, No. 3, 935-945 (2020). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{B. Ren} et al., J. Appl. Anal. Comput. 10, No. 3, 935--945 (2020; Zbl 1464.35290) Full Text: DOI OpenURL
Cai, Benzhi; Wang, Zhenli; Zhang, Lihua; Liu, Hanze Lump solutions to the generalized (2+1)-dimensional B-type Kadomtsev-Petviashvili equation. (English) Zbl 1464.35278 J. Appl. Anal. Comput. 10, No. 3, 1038-1046 (2020). MSC: 35Q51 35Q53 37K10 37K40 68W30 PDF BibTeX XML Cite \textit{B. Cai} et al., J. Appl. Anal. Comput. 10, No. 3, 1038--1046 (2020; Zbl 1464.35278) Full Text: DOI OpenURL
Biondini, Gino; Hoefer, Mark A.; Moro, Antonio Integrability, exact reductions and special solutions of the KP-Whitham equations. (English) Zbl 1471.37061 Nonlinearity 33, No. 8, 4114-4132 (2020). MSC: 37K10 37K40 35C08 35Q51 35Q35 PDF BibTeX XML Cite \textit{G. Biondini} et al., Nonlinearity 33, No. 8, 4114--4132 (2020; Zbl 1471.37061) Full Text: DOI arXiv OpenURL
Peng, Lijuan Periodic soliton solutions of \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation. (English) Zbl 1463.35159 J. Nanchang Univ., Nat. Sci. 44, No. 2, 124-127 (2020). MSC: 35C08 35Q53 PDF BibTeX XML Cite \textit{L. Peng}, J. Nanchang Univ., Nat. Sci. 44, No. 2, 124--127 (2020; Zbl 1463.35159) Full Text: DOI OpenURL
Senol, Mehmet Analytical and approximate solutions of \((2+1)\)-dimensional time-fractional Burgers-Kadomtsev-Petviashvili equation. (English) Zbl 1451.35174 Commun. Theor. Phys. 72, No. 5, Article ID 055003, 11 p. (2020). MSC: 35Q53 35R11 PDF BibTeX XML Cite \textit{M. Senol}, Commun. Theor. Phys. 72, No. 5, Article ID 055003, 11 p. (2020; Zbl 1451.35174) Full Text: DOI OpenURL
Bekir, Ahmet; Shehata, Maha S. M.; Zahran, Emad H. M. Comparison between the exact solutions of three distinct shallow water equations using the Painlevé approach and its numerical solutions. (English) Zbl 1455.35038 Russ. J. Nonlinear Dyn. 16, No. 3, 463-477 (2020). MSC: 35C07 35C08 35G25 35Q53 35R11 83C15 PDF BibTeX XML Cite \textit{A. Bekir} et al., Russ. J. Nonlinear Dyn. 16, No. 3, 463--477 (2020; Zbl 1455.35038) Full Text: DOI MNR OpenURL
Wu, Derchyi The direct scattering problem for the perturbed \(\mathrm{Gr}(1,2)_{\geq 0}\) Kadomtsev-Petviashvili II solitons. (English) Zbl 1452.35176 Nonlinearity 33, No. 12, 6729-6759 (2020). MSC: 35Q53 35P25 37K15 35C08 PDF BibTeX XML Cite \textit{D. Wu}, Nonlinearity 33, No. 12, 6729--6759 (2020; Zbl 1452.35176) Full Text: DOI arXiv OpenURL
Wu, Xiao-Yu; Tian, Bo; Qu, Qi-Xing; Yuan, Yu-Qiang; Du, Xia-Xia Rogue waves for a \((2+1)\)-dimensional Gross-Pitaevskii equation with time-varying trapping potential in the Bose-Einstein condensate. (English) Zbl 1443.81040 Comput. Math. Appl. 79, No. 4, 1023-1030 (2020). MSC: 81Q80 35Q55 35Q82 78A60 PDF BibTeX XML Cite \textit{X.-Y. Wu} et al., Comput. Math. Appl. 79, No. 4, 1023--1030 (2020; Zbl 1443.81040) Full Text: DOI OpenURL
Li, Hui; Li, Ye-zhou Meromorphic exact solutions of the generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equations. (English) Zbl 1446.30047 Math. Methods Appl. Sci. 43, No. 2, 628-638 (2020). MSC: 30D35 34M05 PDF BibTeX XML Cite \textit{H. Li} and \textit{Y.-z. Li}, Math. Methods Appl. Sci. 43, No. 2, 628--638 (2020; Zbl 1446.30047) Full Text: DOI OpenURL
Liu, Zhigang; Zhang, Kelei; Li, Mengyuan Exact traveling wave solutions and bifurcation of a generalized \((3+1)\)-dimensional time-fractional Camassa-Holm-Kadomtsev-Petviashvili equation. (English) Zbl 1446.35174 J. Funct. Spaces 2020, Article ID 4532824, 7 p. (2020). MSC: 35Q53 35R11 26A33 35C07 35B32 PDF BibTeX XML Cite \textit{Z. Liu} et al., J. Funct. Spaces 2020, Article ID 4532824, 7 p. (2020; Zbl 1446.35174) Full Text: DOI OpenURL
Zhang, Hui; Liu, De-Yin Localized waves and interactions for the high dimensional nonlinear evolution equations. (English) Zbl 1439.35136 Appl. Math. Lett. 102, Article ID 106102, 7 p. (2020). MSC: 35G25 35C08 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{D.-Y. Liu}, Appl. Math. Lett. 102, Article ID 106102, 7 p. (2020; Zbl 1439.35136) Full Text: DOI OpenURL
Wang, Chuanjian; Fang, Hui General high-order localized waves to the Bogoyavlenskii-Kadomtsev-Petviashvili equation. (English) Zbl 1434.37041 Nonlinear Dyn. 100, No. 1, 583-599 (2020). MSC: 37K10 PDF BibTeX XML Cite \textit{C. Wang} and \textit{H. Fang}, Nonlinear Dyn. 100, No. 1, 583--599 (2020; Zbl 1434.37041) Full Text: DOI OpenURL
Elboree, Mohammed K. Soliton solutions for some nonlinear partial differential equations in mathematical physics using He’s variational method. (English) Zbl 07201329 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 147-158 (2020). MSC: 35-XX 76-XX PDF BibTeX XML Cite \textit{M. K. Elboree}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 147--158 (2020; Zbl 07201329) Full Text: DOI OpenURL
Gao, Min; Zhang, Hai-Qiang Solitary wave solutions, lump solutions and interactional solutions to the \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation. (English) Zbl 1434.35158 Int. J. Mod. Phys. B 34, No. 7, Article ID 2050053, 13 p. (2020). MSC: 35Q53 35C08 PDF BibTeX XML Cite \textit{M. Gao} and \textit{H.-Q. Zhang}, Int. J. Mod. Phys. B 34, No. 7, Article ID 2050053, 13 p. (2020; Zbl 1434.35158) Full Text: DOI OpenURL
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi \(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves. (English) Zbl 1434.35193 Appl. Math. Lett. 104, Article ID 106246, 8 p. (2020). MSC: 35Q55 37K40 35C08 PDF BibTeX XML Cite \textit{J. Rao} et al., Appl. Math. Lett. 104, Article ID 106246, 8 p. (2020; Zbl 1434.35193) Full Text: DOI OpenURL
Yuan, Yu-Qiang; Tian, Bo; Qu, Qi-Xing; Zhao, Xue-Hui; Du, Xia-Xia Periodic-wave and semirational solutions for the \((2 + 1)\)-dimensional Davey-Stewartson equations on the surface water waves of finite depth. (English) Zbl 1439.35411 Z. Angew. Math. Phys. 71, No. 2, Paper No. 46, 14 p. (2020). MSC: 35Q35 35N05 35J05 47H30 76B25 PDF BibTeX XML Cite \textit{Y.-Q. Yuan} et al., Z. Angew. Math. Phys. 71, No. 2, Paper No. 46, 14 p. (2020; Zbl 1439.35411) Full Text: DOI OpenURL
Kishimoto, Nobu; Shan, Minjie; Tsutsumi, Yoshio Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili II equation in the anisotropic Sobolev space. (English) Zbl 1435.35335 Discrete Contin. Dyn. Syst. 40, No. 3, 1283-1307 (2020). MSC: 35Q53 35A01 35B41 35B45 35B40 37K10 PDF BibTeX XML Cite \textit{N. Kishimoto} et al., Discrete Contin. Dyn. Syst. 40, No. 3, 1283--1307 (2020; Zbl 1435.35335) Full Text: DOI OpenURL
Wang, Chuanjian; Fang, Hui Lump-type wave and interaction solutions of the Bogoyavlenskii-Kadomtsev-Petviashvili equation. (English) Zbl 1435.35340 Complexity 2020, Article ID 2476923, 9 p. (2020). MSC: 35Q53 35C08 PDF BibTeX XML Cite \textit{C. Wang} and \textit{H. Fang}, Complexity 2020, Article ID 2476923, 9 p. (2020; Zbl 1435.35340) Full Text: DOI OpenURL
Guan, Xue; Liu, Wenjun; Zhou, Qin; Biswas, Anjan Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1433.35338 Appl. Math. Comput. 366, Article ID 124757, 9 p. (2020). MSC: 35Q53 35C08 35C05 35Q51 PDF BibTeX XML Cite \textit{X. Guan} et al., Appl. Math. Comput. 366, Article ID 124757, 9 p. (2020; Zbl 1433.35338) Full Text: DOI OpenURL
Kuo, Chun-Ku; Lee, Sen-Yung Novel methods for finding general forms of new multi-soliton solutions to \((1+1)\)-dimensional KdV equation and \((2+1)\)-dimensional Kadomtsev-Petviashvili (KP) equation. (English) Zbl 07583662 Waves Random Complex Media 29, No. 3, 569-579 (2019). MSC: 35Q53 35C08 PDF BibTeX XML Cite \textit{C.-K. Kuo} and \textit{S.-Y. Lee}, Waves Random Complex Media 29, No. 3, 569--579 (2019; Zbl 07583662) Full Text: DOI OpenURL
Zasorin, Yuriy Valentinovich About of correctly solvability initial value problems, related with one multi-variable class hight order’s non-stationary tree-dimensional equations; group properties and focusing of solutions. (Russian. English summary) Zbl 1497.35093 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2019, No. 2, 82-106 (2019). MSC: 35G10 35A02 35B06 35E05 PDF BibTeX XML Cite \textit{Y. V. Zasorin}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2019, No. 2, 82--106 (2019; Zbl 1497.35093) Full Text: Link OpenURL