Existence of novel analytical soliton solutions in a magneto-electro-elastic annular bar for the longitudinal wave equation
摘要
In this paper, a novel application of the improved modified extended tanh function has been implemented to derive analytical solutions for the longitudinal wave equation in a magneto-electro-elastic annular bar model. Singular, bright, dark, rational wave, Weierstrass elliptic doubly periodic, and exponential forms, are generated. These solutions are depicted through surface plots that are derived from numerical simulations, providing valuable insights into their dynamic characteristics. It is anticipated that a substantial contribution will be made to advancing the nonlinear scientific community by these results. This work uncovers novel traveling wave solutions, demonstrating a unique contribution to the field. It is noteworthy that Wolfram Mathematica® software is employed in the exploration and visualization of dynamic solitary perturb solutions. The diverse solutions are presented through 2D, 3D, and contour charts, concluding the work.