Residual symmetries, consistent-Riccati-expansion integrability, and interaction solutions of a new (3+1)-dimensional generalized Kadomtsev—Petviashvili equation
Jian-Wen Wu(吴剑文), Yue-Jin Cai(蔡跃进), and Ji Lin(林机)†
Department of Physics, Zhejiang Normal University, Jinhua 321004, China
Abstract With the aid of the Painlevé analysis, we obtain residual symmetries for a new (3+1)-dimensional generalized Kadomtsev—Petviashvili (gKP) equation. The residual symmetry is localized and the finite transformation is proposed by introducing suitable auxiliary variables. In addition, the interaction solutions of the (3+1)-dimensional gKP equation are constructed via the consistent Riccati expansion method. Particularly, some analytical soliton-cnoidal interaction solutions are discussed in graphical way.
Fund: This work was supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 12074343).
Corresponding Authors:
Ji Lin
E-mail: linji@zjnu.edu.cn
Cite this article:
Jian-Wen Wu(吴剑文), Yue-Jin Cai(蔡跃进), and Ji Lin(林机) Residual symmetries, consistent-Riccati-expansion integrability, and interaction solutions of a new (3+1)-dimensional generalized Kadomtsev—Petviashvili equation 2022 Chin. Phys. B 31 030201
[1] Nayfeh A H and Hassan S D 1971 J. Fluid Mech.48 463 [2] Kivshar Y S and Malomed B A 1989 Rev. Mod. Phys.61 763 [3] Wang W, Yao R X and Lou S Y 2020 Chin. Phys. Lett.37 100501 [4] Kamchatnov A M 1997 Phys. Rep.286 199 [5] Leblond H and Mihalache D 2010 Phys. Rep.523 61 [6] Wang B, Zhang Z and Li B 2020 Chin. Phys. Lett.37 030501 [7] Nakamura Y and Tsukabayashi I 1984 Phys. Rev. Lett.52 2356 [8] Shen Y, Tian B, Liu S H and Yang D Y 2021 Phys. Scripta96 075212 [9] Jin X W and Lin J 2020 J. Magn. Magn. Mater.514 167192 [10] Kartashov Y V and Konotop V V 2017 Phys. Rev. Lett.118 190401 [11] Kadomtsev B B and Petviashvili V I 1970 Dokl. Akad. Nauk SSSR192 753 [12] Zhang Z, Guo Q, Li B and Chen J C 2021 Commun. Nonlinear Sci.101 105866 [13] Leblond H, Kremer D and Mihalache D 2010 Phys. Rev. A81 033824 [14] Zhou Q 2022 Chin. Phys. Lett.39 010501 [15] Lou S Y and Hu X B 1997 J. Math. Phys.38 6401 [16] Oevel W and Fuchssteiner B 1982 Phys. Lett. A88 323 [17] Ma W X 2020 Opt. Quantum Electron.52 511 [18] Wang X B, Tian S F, Qin C Y and Zhang T T 2017 Appl. Math. Lett.72 58 [19] Mao J J, Tian S F, Zou L and Zhang T T 2019 Nonlinear Dyn.95 3005 [20] Guan X, Liu W J, Zhou Q and Biswas A 2020 Appl. Math. Comput.366 124757 [21] Ma Y L, Wazwaz A M and Li B Q 2021 Math. Comput. Simul.187 505 [22] Ma Y L, Wazwaz A M and Li B Q 2021 Nonlinear Dyn.104 1581 [23] Ablowitz M J and Clarkson P A 1991 Solitons, nolinear evolution equations and inverse scattering (Cambridge:Cambridge University Press) 149 [24] Wang J, Su T, Geng X G and Li R M 2020 Nonlinear Dyn.101 597 [25] Hirota R and Ito M 1981 J. Phys. Soc. Jpn.50 338 [26] Ma W X, Yong X L and Lü X 2021 Wave Motion103 102719 [27] Cai Y J, Wu J W, Hu L T and Lin J 2021 Phys. Scripta96 095212 [28] Wang H F and Zhang Y F 2020 Chin. Phys. B29 040501 [29] Liu Y K and Li B 2017 Chin. Phys. Lett.34 010202 [30] Yin K H, Cheng X P and Lin J 2021 Chin. Phys. Lett.38 080201 [31] Olver P J 1986 Applications of Lie groups to differential equations (New York:Springer-Verlag) [32] Keane A J, Mushtaq A and Wheatland M S 2011 Phys. Rev. E83 066407 [33] Kim E, Li F, Chong C, Theocharis G, Yang J and Kevrekidis P G 2015 Phys. Rev. Lett.114 118002 [34] Feng L L, Tian S F and Zhang T T 2020 Bull. Malays. Math. Sci. Soc.43 141 [35] Zhang Z, Qi Z Q and Li B 2021 Appl. Math. Lett.116 107004 [36] Yang Y Q, Suzuki T and Wang J Y 2021 Commun. Nonlinear Sci.95 105626 [37] Lou S Y, Hu X R and Chen Y 2012 J. Phys. A:Math. Theor.45 155209 [38] Cheng X P, Chen C L and Lou S Y 2014 Wave Motion51 1298 [39] Tang X Y, Hao X Z and Liang Z F 2017 Comput. Math. Appl.74 1311 [40] Huang L L and Chen Y 2018 Nonlinear Dyn.92 221 [41] Hu H C and Lu Y H 2020 Chin. Phys. B29 040201 [42] Wu J W, Cai Y J and Lin J 2021 Commun. Theor. Phys.73 065002 [43] Huang L L and Chen Y 2016 Chin. Phys. B25 060201 [44] Hu H C, Hu X and Feng B F 2016 Z. Naturforsch. A71 235 [45] Xia Y R, Xin X P and Zhang S L 2017 Chin. Phys. B26 030202 [46] Hu X R and Chen Y 2015 Chin. Phys. B24 090203 [47] Chen J C, Ma Z Y and Hu Y H 2017 Chin. Phys. Lett.34 010201 [48] Liu P, Xu H R and Yang J R 2020 Acta Phys. Sin.69 010203 (in Chinese) [49] Ren B and Lin J 2020 Phys. Scripta95 075202 [50] Ren B, Lin J and Lou Z M 2020 Appl. Math. Lett.105 106326 [51] Hu X R, Lou S Y and Chen Y 2012 Phys. Rev. E85 056607 [52] Tang X Y, Liang Z F and Wang J Y 2015 J. Phys. A:Math. Theor.48 285204 [53] Lin J, Jin X W, Gao X L and Lou S Y 2018 Commun. Theor. Phys.70 119 [54] Ren B 2017 Commun. Nonlinear Sci.42 456 [55] Liu S J, Tang X Y and Lou S Y 2018 Chin. Phys. B27 060201 [56] Wang X B, Jia M and Lou S Y 2021 Chin. Phys. B30 010501 [57] Jin X W and Lin J 2020 J. Magn. Magn. Mater.502 166590 [58] Bluman G W, Cheviakov A F and Anco S C 2010 Applications of symmetry methods to partial differential equations (New York:Springer) [59] Lou S Y and Hu X B 1997 J. Phys. A:Math. Gen.30 L95 [60] Cheng X P, Yang Y Q, Ren B and Wang J Y 2019 Wave Motion86 150 [61] Bluman G W 2002 Symmetry and integration methods for differential equations (New York:Springer) [62] Shin H J 2001 Phys. Rev. E63 026606
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