Dynamics Investigation and Solitons Formation for (2+1) -Dimensional Zoomeron Equation and Foam Drainage Equation

• Published in: Journal of nonlinear mathematical physics Vol. 30; no. 2; pp. 628 - 645
• Main Authors: Batool, Fiza, Akram, Ghazala, Sadaf, Maasoomah, Mehmood, Umair
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01-06-2023; Springer Nature B.V
• Subjects: Drainage; Fluid dynamics; Gravity; Hyperbolic functions; Investigations; Mathematical Physics; Mathematics; Mathematics and Statistics; Nonlinear differential equations; Ordinary differential equations; Partial differential equations; Plastic foams; Rational functions; Research Article; Solitary waves; Trigonometric functions; Extended; Foam drainage equation; Zoomeron equation; Soliton solutions; expansion method
• ISSN: 1776-0852; 1402-9251; 1776-0852
• DOI: 10.1007/s44198-022-00097-y

The prime goal of this study is to investigate novel solutions of two well-known nonlinear models namely the
(
2
+
1
)
-dimensional Zoomeron equation and the foam drainage equation by utilizing a powerful technique; the extended
G
′
G
2
-expansion method. Using this methodology, the hyperbolic function solutions, the trigonometric function solutions and the rational function solutions are constructed. Abundant soliton solutions are retrieved from the obtained results. The dynamical structures of the solutions are illustrated graphically through 3-dimensional graphs and the corresponding contour plots. The reported results depict the effectiveness and capability of the extended
G
′
G
2
-expansion method for handling different nonlinear partial differential equations.