Cheng, Chong-Dong; Tian, Bo; Zhou, Tian-Yu; Shen, Yuan Nonlinear localized waves and their interactions for a \((2+1)\)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid. (English) Zbl 07825045 Wave Motion 125, Article ID 103246, 13 p. (2024). MSC: 35-XX 74-XX PDFBibTeX XMLCite \textit{C.-D. Cheng} et al., Wave Motion 125, Article ID 103246, 13 p. (2024; Zbl 07825045) Full Text: DOI
Biondini, Gino; Bivolcic, Alexander J.; Hoefer, Mark A.; Moro, Antonio Two-dimensional reductions of the Whitham modulation system for the Kadomtsev-Petviashvili equation. (English) Zbl 07791456 Nonlinearity 37, No. 2, Article ID 025012, 29 p. (2024). MSC: 35F50 37K10 37J35 PDFBibTeX XMLCite \textit{G. Biondini} et al., Nonlinearity 37, No. 2, Article ID 025012, 29 p. (2024; Zbl 07791456) Full Text: DOI arXiv
Mizumachi, Tetsu Linear stability of elastic \(2\)-line solitons for the KP-II equation. (English) Zbl 07776366 Q. Appl. Math. 82, No. 1, 115-226 (2024). MSC: 35B35 35C08 35Q35 35Q51 37K40 PDFBibTeX XMLCite \textit{T. Mizumachi}, Q. Appl. Math. 82, No. 1, 115--226 (2024; Zbl 07776366) Full Text: DOI arXiv
Şenol, Mehmet; Gençyiğit, Mehmet; Sarwar, Shahzad Different solutions to the conformable generalized \((3+1)\)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation arising in shallow-water waves. (English) Zbl 07793950 Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350154, 22 p. (2023). MSC: 35R11 35C05 35C07 35Q51 PDFBibTeX XMLCite \textit{M. Şenol} et al., Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350154, 22 p. (2023; Zbl 07793950) Full Text: DOI
Xie, Zheng; Chen, Jing Multiplicity of solutions for a generalized Kadomtsev-Petviashvili equation with potential in \(\mathbb{R}^2\). (English) Zbl 07781036 Electron. J. Differ. Equ. 2023, Paper No. 48, 17 p. (2023). MSC: 35A15 35A18 35B25 35Q53 58E05 76B25 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{J. Chen}, Electron. J. Differ. Equ. 2023, Paper No. 48, 17 p. (2023; Zbl 07781036) Full Text: Link
Zhang, Xueqing; Ren, Bo Resonance soliton, breather and interaction solutions of the modified Kadomtsev-Petviashvili-II equation. (English) Zbl 1523.35119 J. Nonlinear Math. Phys. 30, No. 3, 1272-1281 (2023). MSC: 35C08 35Q51 37K10 37K40 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{B. Ren}, J. Nonlinear Math. Phys. 30, No. 3, 1272--1281 (2023; Zbl 1523.35119) Full Text: DOI OA License
Zhang, Guangxiong; Huang, Peng; Feng, Bao-Feng; Wu, Chengfa Rogue waves and their patterns in the vector nonlinear Schrödinger equation. (English) Zbl 1526.35114 J. Nonlinear Sci. 33, No. 6, Paper No. 116, 64 p. (2023). MSC: 35C08 35C05 35Q55 37K40 PDFBibTeX XMLCite \textit{G. Zhang} et al., J. Nonlinear Sci. 33, No. 6, Paper No. 116, 64 p. (2023; Zbl 1526.35114) Full Text: DOI arXiv
Raut, Santanu; Barman, Ranjan; Sarkar, Tanay Integrability, breather, lump and quasi-periodic waves of non-autonomous Kadomtsev-Petviashvili equation based on Bell-polynomial approach. (English) Zbl 1524.35551 Wave Motion 119, Article ID 103125, 24 p. (2023). MSC: 35Q53 33C47 PDFBibTeX XMLCite \textit{S. Raut} et al., Wave Motion 119, Article ID 103125, 24 p. (2023; Zbl 1524.35551) Full Text: DOI
Chiron, David Smooth branch of rarefaction pulses for the nonlinear Schrödinger equation and the Euler-Korteweg system in 2d. (Branche régulière d’ondes de raréfaction pour l’équation de Schrödinger non linéaire et le système d’Euler-Korteweg en 2d.) (English. French summary) Zbl 1527.35268 Ann. Henri Lebesgue 6, 767-845 (2023). MSC: 35Q35 35Q31 35Q40 35Q55 35Q41 35Q53 35J60 35D30 35C07 35C08 35A01 35A02 PDFBibTeX XMLCite \textit{D. Chiron}, Ann. Henri Lebesgue 6, 767--845 (2023; Zbl 1527.35268) Full Text: DOI
Zhou, Yue; Xu, Hang Accurate coiflet wavelet solution of extended \((2+1)\)-dimensional Kadomtsev-Petviashvili equation using the novel wavelet-homotopy analysis approach. (English) Zbl 07733062 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107393, 20 p. (2023). MSC: 65-XX 35-XX 93-XX 34-XX 76-XX PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{H. Xu}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107393, 20 p. (2023; Zbl 07733062) Full Text: DOI
Karczewska, Anna; Rozmej, Piotr (2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions. (English) Zbl 1523.35257 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107317, 16 p. (2023). MSC: 35Q53 35Q35 35C08 35B10 76B15 PDFBibTeX XMLCite \textit{A. Karczewska} and \textit{P. Rozmej}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107317, 16 p. (2023; Zbl 1523.35257) Full Text: DOI arXiv
Sanwal, Akansha; Schippa, Robert Low regularity well-posedness for KP-I equations: the dispersion-generalized case. (English) Zbl 1522.35449 Nonlinearity 36, No. 8, 4342-4383 (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35R11 42B37 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{A. Sanwal} and \textit{R. Schippa}, Nonlinearity 36, No. 8, 4342--4383 (2023; Zbl 1522.35449) Full Text: DOI arXiv
Arthamonov, S.; Harnad, J.; Hurtubise, J. Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations. (English) Zbl 1525.37074 Commun. Math. Phys. 401, No. 2, 1337-1381 (2023). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 37K10 37K20 37K25 37K40 35Q51 14M15 14H70 PDFBibTeX XMLCite \textit{S. Arthamonov} et al., Commun. Math. Phys. 401, No. 2, 1337--1381 (2023; Zbl 1525.37074) Full Text: DOI arXiv
Alves, Claudianor O.; Ji, Chao Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^2\). (English) Zbl 1518.35016 J. Differ. Equations 368, 141-172 (2023). MSC: 35A15 35A18 35C08 35G25 76B25 PDFBibTeX XMLCite \textit{C. O. Alves} and \textit{C. Ji}, J. Differ. Equations 368, 141--172 (2023; Zbl 1518.35016) Full Text: DOI arXiv
Wang, Kang-Le New solitary wave solutions of the fractional modified KdV-Kadomtsev-Petviashvili equation. (English) Zbl 1521.35163 Fractals 31, No. 3, Article ID 2350025, 12 p. (2023). MSC: 35Q53 35C08 35C07 26A33 35R11 PDFBibTeX XMLCite \textit{K.-L. Wang}, Fractals 31, No. 3, Article ID 2350025, 12 p. (2023; Zbl 1521.35163) Full Text: DOI
Li, Junjie; Manafian, Jalil; Hang, Nguyen Thi; Ngoc Huy, Dinh Tran; Davidyants, Alla Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation. (English) Zbl 07677981 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 227-243 (2023). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{J. Li} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 227--243 (2023; Zbl 07677981) Full Text: DOI
Han, Guangfu; Li, Xinyue; Zhao, Qiulan; Li, Chuanzhong Interaction structures of multi localized waves within the Kadomtsev-Petviashvili I equation. (English) Zbl 1510.35121 Physica D 446, Article ID 133671, 11 p. (2023). MSC: 35G25 35Q35 35Q53 35Q55 PDFBibTeX XMLCite \textit{G. Han} et al., Physica D 446, Article ID 133671, 11 p. (2023; Zbl 1510.35121) 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
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
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Cui, Ping Nonlinear dynamic behaviors of the generalized (3+1)-dimensional KP equation. (English) Zbl 07815624 ZAMM, Z. Angew. Math. Mech. 102, No. 10, Article ID e202000168, 10 p. (2022). MSC: 35Q35 76B25 35C08 37K35 PDFBibTeX XMLCite \textit{J.-G. Liu} et al., ZAMM, Z. Angew. Math. Mech. 102, No. 10, Article ID e202000168, 10 p. (2022; Zbl 07815624) Full Text: DOI
Borluk, Handan; Bruell, Gabriele; Nilsson, Dag Traveling waves and transverse instability for the fractional Kadomtsev-Petviashvili equation. (English) Zbl 07779108 Stud. Appl. Math. 149, No. 1, 95-123 (2022). MSC: 35C07 35C08 35B32 35R11 PDFBibTeX XMLCite \textit{H. Borluk} et al., Stud. Appl. Math. 149, No. 1, 95--123 (2022; Zbl 07779108) Full Text: DOI arXiv
Guo, Yanfeng; Dai, Zhengde; Guo, Chunxiao Lump solutions and interaction solutions for \((2+1)\)-dimensional KPI equation. (English) Zbl 1510.35108 Front. Math. China 17, No. 5, 875-886 (2022). MSC: 35C08 35C11 PDFBibTeX XMLCite \textit{Y. Guo} et al., Front. Math. China 17, No. 5, 875--886 (2022; Zbl 1510.35108) Full Text: DOI
Erbay, H. A.; Erbay, S.; Erkip, A. On the full dispersion Kadomtsev-Petviashvili equations for dispersive elastic waves. (English) Zbl 1524.35632 Wave Motion 114, Article ID 103015, 10 p. (2022). MSC: 35Q74 74B20 74J35 PDFBibTeX XMLCite \textit{H. A. Erbay} et al., Wave Motion 114, Article ID 103015, 10 p. (2022; Zbl 1524.35632) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{B. Moon}, J. Nonlinear Math. Phys. 29, No. 4, 905--918 (2022; Zbl 1502.35141) Full Text: DOI
Gaillard, Pierre Families of solutions to the KPI equation given by an extended Darboux transformation. (English) Zbl 1504.35138 SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 80, 14 p. (2022). MSC: 35G25 35A22 PDFBibTeX XMLCite \textit{P. Gaillard}, SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 80, 14 p. (2022; Zbl 1504.35138) Full Text: DOI
Feng, Bao-Feng; Shi, Changyan; Zhang, Guangxiong; Wu, Chengfa Higher-order rogue wave solutions of the Sasa-Satsuma equation. (English) Zbl 1507.37093 J. Phys. A, Math. Theor. 55, No. 23, Article ID 235701, 24 p. (2022). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{B.-F. Feng} et al., J. Phys. A, Math. Theor. 55, No. 23, Article ID 235701, 24 p. (2022; Zbl 1507.37093) Full Text: DOI
Chakravarty, Sarbarish; Zowada, Michael Classification of KPI lumps. (English) Zbl 1506.35197 J. Phys. A, Math. Theor. 55, No. 21, Article ID 215701, 45 p. (2022). MSC: 35Q53 PDFBibTeX XMLCite \textit{S. Chakravarty} and \textit{M. Zowada}, J. Phys. A, Math. Theor. 55, No. 21, Article ID 215701, 45 p. (2022; Zbl 1506.35197) Full Text: DOI arXiv
Chakravarty, Sarbarish; Zowada, Michael Dynamics of KPI lumps. (English) Zbl 1506.35196 J. Phys. A, Math. Theor. 55, No. 19, Article ID 195701, 28 p. (2022). MSC: 35Q53 PDFBibTeX XMLCite \textit{S. Chakravarty} and \textit{M. Zowada}, J. Phys. A, Math. Theor. 55, No. 19, Article ID 195701, 28 p. (2022; Zbl 1506.35196) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{B.-F. Feng} et al., Physica D 439, Article ID 133360, 16 p. (2022; Zbl 1496.35138) Full Text: DOI
Kuo, Chun-Ku; Ma, Wen-Xiu An effective approach for constructing novel KP-like equations. (English) Zbl 1505.76016 Waves Random Complex Media 32, No. 2, 629-640 (2022). MSC: 76B25 35Q51 PDFBibTeX XMLCite \textit{C.-K. Kuo} and \textit{W.-X. Ma}, Waves Random Complex Media 32, No. 2, 629--640 (2022; Zbl 1505.76016) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106555, 14 p. (2022; Zbl 1498.37109) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{J. Rao} et al., Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022; Zbl 1489.35257) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{J. Cai} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2441--2453 (2022; Zbl 1491.65159) Full Text: DOI
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 PDFBibTeX XMLCite \textit{X. Zhao} et al., Int. J. Comput. Math. 99, No. 3, 407--425 (2022; Zbl 1499.35154) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Wu}, Math. Comput. Simul. 194, 89--96 (2022; Zbl 07478786) Full Text: DOI
Esfahani, Amin; Levandosky, Steve Instability and blow-up of solutions of the fifth-order KP equation. (English) Zbl 1509.35213 J. Math. Anal. Appl. 509, No. 2, Article ID 125953, 28 p. (2022). MSC: 35Q35 35Q53 76B15 76B45 35C08 35B35 35B44 35A15 35A01 PDFBibTeX XMLCite \textit{A. Esfahani} and \textit{S. Levandosky}, J. Math. Anal. Appl. 509, No. 2, Article ID 125953, 28 p. (2022; Zbl 1509.35213) Full Text: DOI
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 1508.35133 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106131, 11 p. (2022). MSC: 35Q53 35Q51 37K10 35C08 PDFBibTeX XMLCite \textit{Y.-L. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106131, 11 p. (2022; Zbl 1508.35133) Full Text: DOI
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 PDFBibTeX XMLCite \textit{X. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106070, 17 p. (2022; Zbl 1497.35396) Full Text: DOI
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 PDFBibTeX XMLCite \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
Wu, Hui-Ling; Fan, Sheng-Wan; Fei, Jin-Xi; Ma, Zheng-Yi The d’Alembert type waves and the soliton molecules in a \((2+1)\)-dimensional Kadomtsev-Petviashvili with its hierarchy equation. (English) Zbl 1514.35098 Commun. Theor. Phys. 73, No. 10, Article ID 105002, 9 p. (2021). MSC: 35C08 35G25 35Q51 35R09 PDFBibTeX XMLCite \textit{H.-L. Wu} et al., Commun. Theor. Phys. 73, No. 10, Article ID 105002, 9 p. (2021; Zbl 1514.35098) Full Text: DOI
Xie, Yingying; Yan, Yongsheng; Li, Lingfei Optical nondiffractive and nondispersive dark-wave dynamics in hydrodynamic origin. (English) Zbl 1519.78008 J. Phys. A, Math. Theor. 54, No. 42, Article ID 425201, 19 p. (2021). MSC: 78A60 35Q53 76B15 PDFBibTeX XMLCite \textit{Y. Xie} et al., J. Phys. A, Math. Theor. 54, No. 42, Article ID 425201, 19 p. (2021; Zbl 1519.78008) Full Text: DOI
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 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Appl. Comput. Math. 20, No. 3, 421--429 (2021; Zbl 1501.76057) Full Text: Link
Boukarou, Aissa; Guerbati, Kaddour; Zennir, Khaled; Alnegga, Mohammad Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation. (English) Zbl 1525.35197 AIMS Math. 6, No. 9, 10037-10054 (2021). MSC: 35Q35 35Q53 35B65 PDFBibTeX XMLCite \textit{A. Boukarou} et al., AIMS Math. 6, No. 9, 10037--10054 (2021; Zbl 1525.35197) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H. Lu} and \textit{Y. Zhang}, Rocky Mt. J. Math. 51, No. 6, 2137--2145 (2021; Zbl 1487.35009) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{J. Li} et al., AIMS Math. 6, No. 7, 7555--7584 (2021; Zbl 1484.35126) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{L. Guo} et al., Physica D 426, Article ID 132990, 10 p. (2021; Zbl 1484.35124) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S.-H. Liu} et al., Int. J. Comput. Math. 98, No. 6, 1130--1145 (2021; Zbl 1479.35680) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Q. Lu} et al., Int. J. Comput. Math. 98, No. 7, 1457--1473 (2021; Zbl 1479.35683) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{D. Zhang}, GEM. Int. J. Geomath. 12, Paper No. 13, 14 p. (2021; Zbl 1479.35184) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Manafian}, Math. Methods Appl. Sci. 44, No. 18, 14079--14093 (2021; Zbl 1492.35226) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{Y. Liu} et al., East Asian J. Appl. Math. 11, No. 2, 301--325 (2021; Zbl 1484.37081) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhu} et al., Open Math. 19, 297--305 (2021; Zbl 1483.35191) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y.-L. Ma} et al., Math. Comput. Simul. 187, 505--519 (2021; Zbl 07428971) Full Text: DOI
Tang, Yaning; Ma, Jinli; Zhou, Bingchang; Zhou, Jiale From \(2M\)th-order Wronskian determinant solutions to \(M\)th-order lump solutions for the \((2+1)\)-dimensional Kadomtsev-Petviashvili I equation. (English) Zbl 1524.35557 Wave Motion 104, Article ID 102746, 15 p. (2021). MSC: 35Q53 76B25 78A60 PDFBibTeX XMLCite \textit{Y. Tang} et al., Wave Motion 104, Article ID 102746, 15 p. (2021; Zbl 1524.35557) Full Text: DOI
Shi, Changyan; Fu, Heming; Wu, Chengfa Soliton solutions to the reverse-time nonlocal Davey-Stewartson III equation. (English) Zbl 1524.35600 Wave Motion 104, Article ID 102744, 18 p. (2021). MSC: 35Q55 35Q51 37K10 PDFBibTeX XMLCite \textit{C. Shi} et al., Wave Motion 104, Article ID 102744, 18 p. (2021; Zbl 1524.35600) Full Text: DOI
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 PDFBibTeX XMLCite \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
Ma, Wen-Xiu; Yong, Xuelin; Lü, Xing Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations. (English) Zbl 1524.35508 Wave Motion 103, Article ID 102719, 7 p. (2021). MSC: 35Q51 35Q53 37K40 PDFBibTeX XMLCite \textit{W.-X. Ma} et al., Wave Motion 103, Article ID 102719, 7 p. (2021; Zbl 1524.35508) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Rao} et al., Stud. Appl. Math. 147, No. 3, 1007--1035 (2021; Zbl 1476.35081) Full Text: DOI
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 PDFBibTeX XMLCite \textit{G. Gui} et al., Adv. Math. 392, Article ID 108021, 44 p. (2021; Zbl 1477.35162) Full Text: DOI
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 PDFBibTeX XMLCite \textit{T. S. Moretlo} et al., J. Appl. Nonlinear Dyn. 10, No. 1, 65--79 (2021; Zbl 1472.37071) 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
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 PDFBibTeX XMLCite \textit{Y.-Q. Yuan}, Appl. Math. Lett. 120, Article ID 107207, 8 p. (2021; Zbl 1475.35122) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y.-H. Wang}, Appl. Math. Lett. 119, Article ID 107201, 7 p. (2021; Zbl 1479.35751) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{S. Bilige}, J. Geom. Phys. 169, Article ID 104322, 12 p. (2021; Zbl 1486.35360) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{J. Zhao} et al., Math. Methods Appl. Sci. 44, No. 6, 5079--5098 (2021; Zbl 1470.35126) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{D. Kumar} et al., Commun. Nonlinear Sci. Numer. Simul. 100, Article ID 105853, 15 p. (2021; Zbl 1468.35036) Full Text: DOI
Guo, Jutong; He, Jingsong; Li, Maohua; Mihalache, Dumitru Multiple-order line rogue wave solutions of extended Kadomtsev-Petviashvili equation. (English) Zbl 1524.35535 Math. Comput. Simul. 180, 251-257 (2021). MSC: 35Q53 76B15 86A05 PDFBibTeX XMLCite \textit{J. Guo} et al., Math. Comput. Simul. 180, 251--257 (2021; Zbl 1524.35535) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Lett. 113, Article ID 106836, 8 p. (2021; Zbl 1458.35021) Full Text: DOI
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 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Appl. Math. Lett. 111, Article ID 106627, 8 p. (2021; Zbl 1455.35248) Full Text: DOI
Sun, Jun-Chao; Zhang, Zong-Guo; Dong, Huan-He; Yang, Hong-Wei Dust acoustic rogue waves of fractional-order model in dusty plasma. (English) Zbl 1520.35165 Commun. Theor. Phys. 72, No. 12, Article ID 125001, 17 p. (2020). MSC: 35R11 26A33 35Q51 35C07 PDFBibTeX XMLCite \textit{J.-C. Sun} et al., Commun. Theor. Phys. 72, No. 12, Article ID 125001, 17 p. (2020; Zbl 1520.35165) Full Text: DOI
Wang, Dong; Gao, Yi-Tian; Ding, Cui-Cui; Zhang, Cai-Yin Solitons and periodic waves for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics and plasma physics. (English) Zbl 1520.35134 Commun. Theor. Phys. 72, No. 11, Article ID 115004, 7 p. (2020). MSC: 35Q51 35Q35 35C07 35C08 PDFBibTeX XMLCite \textit{D. Wang} et al., Commun. Theor. Phys. 72, No. 11, Article ID 115004, 7 p. (2020; Zbl 1520.35134) Full Text: DOI
Wang, Yanxia; Gao, Ben The dynamic behaviors between multi-soliton of the generalized \((3+1)\)-dimensional variable coefficients Kadomtsev-Petviashvili equation. (English) Zbl 1525.35062 Nonlinear Dyn. 101, No. 4, 2463-2470 (2020). MSC: 35C08 35Q51 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{B. Gao}, Nonlinear Dyn. 101, No. 4, 2463--2470 (2020; Zbl 1525.35062) Full Text: DOI
Liu, Jian-Guo; Zhu, Wen-Hui Various exact analytical solutions of a variable-coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1516.37118 Nonlinear Dyn. 100, No. 3, 2739-2751 (2020). MSC: 37K40 35C08 35Q51 PDFBibTeX XMLCite \textit{J.-G. Liu} and \textit{W.-H. Zhu}, Nonlinear Dyn. 100, No. 3, 2739--2751 (2020; Zbl 1516.37118) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y.-L. Ma} and \textit{B.-Q. Li}, AIMS Math. 5, No. 2, 1162--1176 (2020; Zbl 1484.35338) Full Text: DOI
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 PDFBibTeX XMLCite \textit{W. Rui} and \textit{Y. Zhang}, Adv. Difference Equ. 2020, Paper No. 195, 12 p. (2020; Zbl 1482.35196) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Wang} et al., Int. J. Comput. Math. 97, No. 12, 2474--2486 (2020; Zbl 1483.35166) Full Text: DOI
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 PDFBibTeX XMLCite \textit{O. Kharshiladze} et al., Trans. A. Razmadze Math. Inst. 174, No. 3, 363--367 (2020; Zbl 1478.35082) Full Text: Link
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 PDFBibTeX XMLCite \textit{M. A. Abdou} et al., Adv. Math. Phys. 2020, Article ID 8323148, 7 p. (2020; Zbl 1478.35067) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Boukarou} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 2, 255--272 (2020; Zbl 1462.35143) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Liu}, J. Jilin Univ., Sci. 58, No. 6, 1334--1338 (2020; Zbl 1474.65404) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. Ren} et al., J. Appl. Anal. Comput. 10, No. 3, 935--945 (2020; Zbl 1464.35290) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. Cai} et al., J. Appl. Anal. Comput. 10, No. 3, 1038--1046 (2020; Zbl 1464.35278) Full Text: DOI
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 PDFBibTeX XMLCite \textit{G. Biondini} et al., Nonlinearity 33, No. 8, 4114--4132 (2020; Zbl 1471.37061) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{L. Peng}, J. Nanchang Univ., Nat. Sci. 44, No. 2, 124--127 (2020; Zbl 1463.35159) Full Text: DOI