We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The dynamical study and analysis of diverse bright-dark and breathers wave solutions of nonlinear evolution equations and their applications.
- Authors
Shehzad, Khurrem; Seadawy, Aly R.; Wang, Jun; Arshad, Muhammad
- Abstract
In this work, we establish novel solitary wave solutions of three nonlinear evolution dynamical models, namely, Boussinesq model, (3 + 1) -dimensional generalized shallow water wave (SWW) and (4 + 1) -dimensional Fokas dynamical models by applying two-variable (G ′ ∕ G , 1 ∕ G) - expansion technique. The SWW equations are usually appropriate when the fluid is in a state where the vertical length scale is significantly smaller than the length of horizontal scale. In computer simulations for ocean engineering, Boussinesq-type models are frequently used to represent water waves in harbors and shallow seas. In order to understand the physical processes of waves inside and on the surface of water, the Fokas dynamical model plays a crucial part in wave theory. Analytical solutions in different forms such as solitons, solitary waves, trigonometric, hyperbolic, rational function solutions, breathers-type waves and more wave solutions are devised through using the proposed method. The exact solutions are also presented in graphical form having applications in engineering and other areas of applied sciences. The obtained results show that the given technique is universal and efficient. In addition, this technique can also be applied on lots of other nonlinear dynamical wave models occurring in many scientific real-world application domains, including engineering sciences, mathematics physics, and many more.
- Subjects
NONLINEAR waves; NONLINEAR evolution equations; MATHEMATICAL physics; APPLIED sciences; NONLINEAR dynamical systems; WATER waves; WATER depth
- Publication
Modern Physics Letters B, 2024, Vol 38, Issue 16, p1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984923410130