Journal
AXIOMS
Volume 11, Issue 5, Pages -Publisher
MDPI
DOI: 10.3390/axioms11050234
Keywords
variational principle; semi-inverse method; variational approach; Ritz-like method
Categories
Funding
- Key Programs of Universities in Henan Province of China [22A140006]
- Fundamental Research Funds for the Universities of Henan Province [NSFRF210324]
- Program of Henan Polytechnic University [B2018-40]
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In this paper, the integrable (2+1)-dimensional Maccari system is investigated using the variational approach. The explicit solutions are constructed and the dynamic behaviors of the solutions are exhibited by choosing appropriate parameters.
In this paper, the integrable (2+1)-dimensional Maccari system (MS), which can model many complex phenomena in hydrodynamics, plasma physics and nonlinear optics, is investigated by the variational approach (VA). This proposed approach that based on the variational theory and Ritz-like method can construct the explicit solutions via the stationary conditions only taking two steps. Finally, the dynamic behaviors of the solutions are exhibited by choosing the appropriate parameters through the 3-D and density plots. It can be seen that the proposed method is concise and straightforward, and can be adopted to study the travelling wave theory in physics.
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