Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation

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"Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation"
written by Jianqing Lü, Sudao Bilige, Xiaoqing Gao, Yuexing Bai, Runfa Zhang,
published by Journal of Applied Mathematics and Physics, Vol.6 No.8, 2018

has been cited by the following article(s):

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[2]	New periodic-wave, periodic-cross-kink wave, three wave and other analytical wave solitons of new (2+1)-dimensional KdV equation The European Physical Journal Plus, 2024 DOI:10.1140/epjp/s13360-023-04831-3

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[7]	Characteristics of the new multiple rogue wave solutions to the fractional generalized CBS-BK equation Journal of Advanced Research, 2022 DOI:10.1016/j.jare.2021.09.015

[8]	Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3 + 1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation International Journal of Nonlinear Sciences and Numerical Simulation, 2022 DOI:10.1515/ijnsns-2019-0286

[9]	Interaction between kink solitary wave and rogue wave, new periodic cross-kink wave solutions and other exact solutions to the (4 + 1)-dimensional BLMP model Journal of Ocean Engineering and Science, 2022 DOI:10.1016/j.joes.2022.05.020

[10]	Breather, kink and rogue wave solutions of Sharma-Tasso-Olver-like equation Optical and Quantum Electronics, 2022 DOI:10.1007/s11082-022-03933-z

[11]	Dynamical Behaviors of Lumpoff and Rogue Wave Solutions for Nonlocal Gardner Equation Mathematical Problems in Engineering, 2022 DOI:10.1155/2022/9360263

[12]	Breather, kink and rogue wave solutions of Sharma-Tasso-Olver-like equation Optical and Quantum Electronics, 2022 DOI:10.1007/s11082-022-03933-z

[13]	Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics Advances in Difference Equations, 2021 DOI:10.1186/s13662-021-03311-1

[14]	Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave Journal of Geometry and Physics, 2021 DOI:10.1016/j.geomphys.2021.104338

[15]	N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation Journal of Geometry and Physics, 2021 DOI:10.1016/j.geomphys.2021.104312

[16]	New lump and interaction soliton, N-soliton solutions and the LSP for the (3 + 1)-D potential-YTSF-like equation Results in Physics, 2021 DOI:10.1016/j.rinp.2021.104713

[17]	Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction betweenk‐lump andk‐stripe soliton solutions for the generalized KP equation Mathematical Methods in the Applied Sciences, 2021 DOI:10.1002/mma.7093

[18]	Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics Advances in Difference Equations, 2021 DOI:10.1186/s13662-021-03311-1

[19]	N-lump and interaction solutions of localized waves to the (2 + 1)-dimensional generalized KP equation Results in Physics, 2021 DOI:10.1016/j.rinp.2021.104168

[20]	Modulational instability, multiple Exp-function method, SIVP, solitary and cross-kink solutions for the generalized KP equation AIMS Mathematics, 2021 DOI:10.3934/math.2021441

[21]	Periodic wave solutions and stability analysis for the (3+1)-D potential-YTSF equation arising in fluid mechanics International Journal of Computer Mathematics, 2021 DOI:10.1080/00207160.2020.1836358

[22]	N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation Journal of Geometry and Physics, 2021 DOI:10.1016/j.geomphys.2021.104312

[23]	Modulational instability and multiple rogue wave solutions for the generalized CBS–BK equation Modern Physics Letters B, 2021 DOI:10.1142/S021798492150408X

[24]	Multiple-order line rogue wave, lump and its interaction, periodic, and cross-kink solutions for the generalized CHKP equation Propulsion and Power Research, 2021 DOI:10.1016/j.jppr.2021.09.002

[25]	Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave Advances in Mathematical Physics, 2021 DOI:10.1155/2021/1164838

[26]	Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave Journal of Geometry and Physics, 2021 DOI:10.1016/j.geomphys.2021.104338

[27]	Cross-kink wave, solitary, dark, and periodic wave solutions by bilinear and He’s variational direct methods for the KP–BBM equation International Journal of Modern Physics B, 2021 DOI:10.1142/S0217979221502751

[28]	New lump and interaction soliton, N-soliton solutions and the LSP for the (3 + 1)-D potential-YTSF-like equation Results in Physics, 2021 DOI:10.1016/j.rinp.2021.104713

[29]	Diverse wave propagation in shallow water waves with the Kadomtsev–Petviashvili–Benjamin–Bona–Mahony and Benney–Luke integrable models Open Physics, 2021 DOI:10.1515/phys-2021-0100

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[38]	Multiple rogue wave and solitary solutions for the generalized BK equation via Hirota bilinear and SIVP schemes arising in fluid mechanics Communications in Theoretical Physics, 2020 DOI:10.1088/1572-9494/ab8a13

[39]	Investigating lump and its interaction for the third-order evolution equation arising propagation of long waves over shallow water European Journal of Mechanics - B/Fluids, 2020 DOI:10.1016/j.euromechflu.2020.04.013

[40]	Lump-type, breather and interaction solutions to the (3+1)-dimensional generalized KdV-type equation Modern Physics Letters B, 2020 DOI:10.1142/S0217984920503297

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[42]	Multiple rogue wave solutions for a variable-coefficient Kadomtsev–Petviashvili equation International Journal of Computer Mathematics, 2020 DOI:10.1080/00207160.2020.1822996

[43]	Higher-order rogue wave solutions of the Kadomtsev Petviashvili—Benjanim Bona Mahony (KP-BBM) model via the Hirota-bilinear approach Physica Scripta, 2020 DOI:10.1088/1402-4896/abbf6f

[44]	Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction between k ‐lump and k ‐stripe soliton solutions for the generalized KP equation Mathematical Methods in the Applied Sciences, 2020 DOI:10.1002/mma.7093

[45]	Breather wave, periodic, and cross‐kink solutions to the generalized Bogoyavlensky‐Konopelchenko equation Mathematical Methods in the Applied Sciences, 2020 DOI:10.1002/mma.6000

[46]	N‐lump and interaction solutions of localized waves to the (2 + 1)‐dimensional asymmetrical Nizhnik–Novikov–Veselov equation arise from a model for an incompressible fluid Mathematical Methods in the Applied Sciences, 2020 DOI:10.1002/mma.6665

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[48]	Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation Nonlinear Dynamics, 2019 DOI:10.1007/s11071-018-04739-z

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[50]	New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo–Miwa-like equation Computers & Mathematics with Applications, 2019 DOI:10.1016/j.camwa.2019.02.035

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