Travelling wave solutions of nonlinear equations in physics via tangent hyperbolic and extended tangent hyperbolic expansion method
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Date
2023
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Publisher
UMT, Lahore
Abstract
The adjacent research inspect the rational and analytical approach for determining the desiring travelling wave solutions, intrinsically a localized nature of nonlinear wave equations (NWEs). A tangent hyperbolic methodology is suggested firstly for securing the exact and accurate solutions which comprehends solitons (as peakons), shocks, and kinks. The premise assumptions describe that majority results are comprised of tangent hyperbolic functions. The study demonstrates that this medium has been advanced for treating different physical and mathematical problems. Furthermore, an extended tangent hyperbolic technique is executed to tribute the incredible evolution of hyperbolic tangent method, for which indicates the consequences of abound solitary waves of NWEs. This yields the soliton kinks, cuspons and periodic solutions as well. The motive to approach on these mediums unambiguously is that they require elementary and limited algebra for attaining the results. These assumptions are concerned for specific cases that heeds to the real solutions. In a nutshell, the hyperbolic tangent expansion offers its immense applications in regard to operate NWEs. All the secured solutions are confirmed and justified by using a computational software, Wolfram Mathematica.