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Dynamical Properties and Novel Wave Solutions of Ion Sound Langmuir Wave Equation in Fluid Dynamics
Sidheswar Behera, Siddharth Mohanty, Hadi Rezazadeh and Laure Akinyemi
The ion Sound Langmuir wave equation and its three distinct families of solution shyperbolic, trigonometric, and rational were the main topics of this article. More generalized solutions are given after suitable values for the related parameters have been chosen, and some patterns in the solutions are analyzed as well. It provides the mathematical foundation for several areas, such as electromagnetic wave propagation, underwater acoustics in fluid dynamics, bursty waves in the cusp region of plasma physics, the construction of certain optoelectronic devices, Langmuiar turbulence, and quantum mechanics in physics. The dynamic and physical behavior of the solutions derived from the ion Sound Langmuir wave equation has been well illustrated by these graphs. This refined technique can be used for more forward-thinking applications and is efficient, succinct, and trustworthy.
Keywords: Ion sound Langmuir wave equation, Improved 𝐺’/𝐺-expansion method, Analytical solutions, Peakon, Soliton