The (3+ 1)-dimensional Kadomtsev-Petviashvili and the modified KdV-Zakharov-Kuznetsov equations have a significant impact in modern science for their widespread applications in the theory of long-wave propagation, dynamics of shallow water wave, plasma fluid model, chemical kinematics, chemical engineering, geochemistry, and many other topics. In this article, we have assessed the effects of wave speed and physical parameters on the wave contours and confirmed that waveform changes with the variety of the free factors in it. As a result, wave solutions are extensively analyzed by using the balancing condition on the linear and nonlinear terms of the highest order and extracted different standard wave configurations, containing kink, breather soliton, bell-shaped soliton, and periodic waves. To extract the soliton solutions of the high-dimensional nonlinear evolution equations, a recently developed approach of the sine-Gordon expansion method is used to derive the wave solutions directly. The sine-Gordon expansion approach is a potent and strategic mathematical tool for instituting ample of new traveling wave solutions of nonlinear equations. This study established the efficiency of the described method in solving evolution equations which are nonlinear and with higher dimension (HNEEs). Closed-form solutions are carefully illustrated and discussed through diagrams. (c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
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Hohai Univ, Coll Hydrol & Water Resources, Nanjing 210098, Peoples R China
Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul Eng, Nanjing, Peoples R China
Northern Univ Business & Technol Khulna, Dept Comp Sci & Engn, Khulna 9100, BangladeshHohai Univ, Coll Hydrol & Water Resources, Nanjing 210098, Peoples R China
Abdulla-Al-Mamun
Lu, Chunhui
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Hohai Univ, Coll Hydrol & Water Resources, Nanjing 210098, Peoples R China
Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul Eng, Nanjing, Peoples R ChinaHohai Univ, Coll Hydrol & Water Resources, Nanjing 210098, Peoples R China
Lu, Chunhui
Ananna, Samsun Nahar
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Hohai Univ, Sch Math, Nanjing 210098, Peoples R ChinaHohai Univ, Coll Hydrol & Water Resources, Nanjing 210098, Peoples R China
Ananna, Samsun Nahar
Uddin, Md Mohi
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Hohai Univ, Coll Water Conservancy & Hydropower, Nanjing 210098, Peoples R ChinaHohai Univ, Coll Hydrol & Water Resources, Nanjing 210098, Peoples R China
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S China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R ChinaS China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China
Chen, Yiren
Liu, Rui
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S China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R ChinaS China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China