Multiwave interaction solutions for a (3 + 1)-dimensional generalized BKP equation

References

• M.G. Asaad and W.X. Ma, Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation and its modified counterpart, Appl. Math. Comput. 218 (2012), pp. 5524–5542.
   Web of Science ®Google Scholar
• G.W. Chen and X.Y. Chen, Nonlinear Higher Order Evolution Equation, Science Press, Peking, 2017.
   Google Scholar
• S.J. Chen, W.X. Ma, X. Lü, Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota–Satsuma–Ito-like equation, Commun. Nonlinear Sci. Numer. Simul. 83 (2020), pp.105135.
   Web of Science ®Google Scholar
• S.J. Chen, X. Lü, X.F. Tang, Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients, Commun. Nonlinear Sci. Numer. Simul. 95 (2021), pp. 105612.
   Web of Science ®Google Scholar
• L. Cheng and Y. Zhang, Grammian-type determinant solutions to generalized KP and BKP equations, Comput. Math. Appl. 74 (2017), pp. 727–735.
   Web of Science ®Google Scholar
• W.Y. Cui and Zhaqilao, Multiple rogue wave and breather solutions for the (3+1)-dimensional KPI equation, Comput. Math. Appl. 76 (2018), pp. 1099–1107.
   Web of Science ®Google Scholar
• W.Y. Cui, W. Li, and Y.P. Liu, Multiwave interaction solutions for a (3+1)-dimensional nonlinear evolution equation, Nonlinear Dyn. 101 (2020), pp. 1–11.
   Web of Science ®Google Scholar
• S. Demiray and F. Tacan, Quasi-periodic solutions of (3+1) generalized BKP equation by using Riemann theta functions, Appl. Math. Comput. 273 (2016), pp. 131–141.
   Web of Science ®Google Scholar
• X.J. He, X. Lü, M.G. Li, Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation, Anal. Math. Phys. 11 (2021), pp. 4.
   Web of Science ®Google Scholar
• Z.Z. Kang and T.C. Xia, Construction of abundant solutions of the (2+1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation, Appl. Math. Lett. 103 (2020), pp. 1–7.
   Web of Science ®Google Scholar
• L. Kaur and A.M. Wazwaz, Dynamical analysis of lump solutions for (3+1)-dimensional generalized KP-Boussinesq equation and its dimensionally reduced equations, Phys. Scr. 93 (2018), pp. 1–8.
   Web of Science ®Google Scholar
• L. Kaur and A.M. Wazwaz, Bright-dark lump wave solutions for a new form of the (3+1)-dimensional BKP-Boussinesq equation, Rom. Rep. Phys. 71 (2019), pp. 1–11.
   Web of Science ®Google Scholar
• L. Kaur and A.M. Wazwaz, Bright-dark optical solitons for Schrödinger–Hirota equation with variable coefficients, Optik 179 (2019), pp. 479–484.
   Web of Science ®Google Scholar
• L. Kaur and A.M. Wazwaz, Lump, breather and solitary wave solutions to new reduced form of the generalized BKP equation, Int. J. Numer. Methods Heat Fluid Flow 29 (2019), pp. 569–579.
   Web of Science ®Google Scholar
• W.X. Ma and E.G. Fan, Linear superposition principle applying to Hirota bilinear equations, Comput. Math. Appl. 61 (2011), pp. 950–959.
   Web of Science ®Google Scholar
• W.X. Ma and Z.N. Zhu, Solving the (3+1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm, Appl. Math. Comput. 218 (2012), pp. 11871–11879.
   Web of Science ®Google Scholar
• J. Satsuma and M. Ablowitz, Two-dimensional lumps in nonlinear dispersive systems, J. Math. Phys.20 (1978), pp. 1496–1503.
   Web of Science ®Google Scholar
• H.F. Shen and M.H. Tu, On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry, J. Math. Phys. 52 (2011), pp. 1–21.
   Web of Science ®Google Scholar
• S. Singh, L. Kaur, K. Sakkaravarthi, R. Sakthivel, and K. Murugesan, Dynamics of higher-order bright and dark rogue waves in a new (2+1)-dimensional integrable Boussinesq model, Phys. Scr. 95 (2020), pp. 1–13.
   Web of Science ®Google Scholar
• M. Tajiri and Y. Murakami, On breather solutions to the Boussinesq equation, J. Phys. Soc. Japan58 (1989), pp. 3585–3590.
   Google Scholar
• Y.N. Tang and W.J. Zai, New exact periodic solitary-wave solutions for the (3+1)-dimensional generalized KP and BKP equations, Comput. Math. Appl. 70 (2015), pp. 2432–2441.
   Web of Science ®Google Scholar
• A.M. Wazwaz, Distinct kinds of multiple-soliton solutions for a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation, Phys. Scr. 84 (2011), pp. 1–6.
   Web of Science ®Google Scholar
• A.M. Wazwaz, Two new Painlevé-integrable (2+1) and (3+1)-dimensional KdV equations with constant and time-dependent coefficients, Nuclear Phys. B 954 (2020), pp. 1–10.
   Web of Science ®Google Scholar
• J.W. Xia, Y.W. Zhao, X. Lü, Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev–Petviashvili equation, Commun. Nonlinear Sci. Numer. Simul.90 (2020), pp. 105260.
   Web of Science ®Google Scholar
• G.Q. Xu, Painlevé analysis, lump-kink solutions and localized excitation solutions for the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation, Appl. Math. Lett. 97 (2019), pp. 81–87.
   Web of Science ®Google Scholar
• G.Q. Xu and A.M. Wazwaz, Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion, Nonlinear Dyn. 101 (2020), pp. 581–595.
   Web of Science ®Google Scholar
• Y.H. Yin, S.J. Chen, X. Lü, Localized characteristics of lump and interaction solutions to two extended Jimbo–Miwa equations, Chin. Phys. B 29 (2020), pp. 120502.
   Web of Science ®Google Scholar