Publications by authors named "Somaye Malmir"
In this article, the spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time. In this framework, the Hirota bilinear form is applied to acquire diverse types of breather wave solutions from the foresaid equation. Abundant breather wave solutions are presented by the Hirota bilinear form and a mixture of exponentials and trigonometric functions with the usage of symbolic computation.
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- - This work explores a rogue wave solution strategy based on the Hirota bilinear hypothesis to develop various soliton wave solutions for the generalized Hirota-Satsuma-Ito condition.
- - The study examines multiple types of soliton waves, including first to fourth-order waves, and analyzes properties related to lump solutions and the Hessian lattice.
- - Results are validated through simulations that produce 3D, density, and 2D graphs, suggesting new insights into traveling wave theory.
Article Synopsis
- The study examines solitonic phenomena in wave propagation within a (3 + 1)-dimensional breaking soliton system, focusing on interactions between Riemann waves and long waves in nonlinear media.
- It presents detailed solutions like double-periodic solitons, breather waves, and rogue waves using Hirota's bilinear form and a combination of exponential and trigonometric functions.
- The research employs symbolic computation for analysis and visualization, highlighting the diverse solutions and their implications for understanding nonlinear wave behaviors in various scientific and engineering contexts.