Journal
MODERN PHYSICS LETTERS B
Volume 36, Issue 14, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984922500841
Keywords
Pavlov equation; lump solutions; breather waves; multi-waves; Hirota's bilinear technique
Funding
- State Key Laboratory of Power Grid Environmental Protection [GYW51202101374]
- National Natural Science Foundation of China [52071298]
- ZhongYuan Science and Technology Innovation Leadership Program [214200510010]
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In this paper, Hirota's bilinear method is applied to analyze the wave structures of the (2+1)-dimensional Pavlov equation. The obtained solutions, including lump solutions, breather waves, and two-wave solutions, are verified using Mathematica. The results provide insights into nonlinear science and its higher-dimensional wave fields.
Hirota's bilinear method (HBM) has been successfully applied to the (2+1)-dimensional Pavlov equation to analyze the different wave structures in this paper. The (2 + 1)-dimensional Pavlov equation is used for the study of integrated hydrodynamic chains and Einstein-Weyl manifolds. In our research, we find new solutions in the forms of lump solutions, breather waves, and two-wave solutions. The modulation instability (MI) of the governing model is also discussed. Moreover, a variety of 3D, 2D, and contour profiles are used to illustrate the physical behavior of the reported results. Acquired findings are useful in understanding nonlinear science and its related nonlinear higher-dimensional wave fields. Through the use of Mathematica, the obtained results are verified by inserting them into the governing equation. The strengthening of representative calculations we've made gives us a strong and effective mathematical framework for dealing with the most difficult nonlinear wave problems.
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