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An investigation of the physical dynamics of a traveling wave solution called a bright soliton

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This study examines the 1+2 -dimensional Zoomeron equation, which has recently become popular in applied mathematics and physics. Bright soliton (non-topological), kink wave solution and traveling wave solutions are generated… Click to show full abstract

This study examines the 1+2 -dimensional Zoomeron equation, which has recently become popular in applied mathematics and physics. Bright soliton (non-topological), kink wave solution and traveling wave solutions are generated with the advantages of the generalized exponential rational function method. With the help of this method, it is aimed to produce different types of solutions for the Zoomeron equation compared to other traditional exponential function methods. The effects of parameters on the amplitude of the wave function are discussed, along with physical explanations backed by simulations. In addition, the advantages and disadvantages of the method for the 1+2 -dimensional Zoomeron equation are discussed.

Keywords: zoomeron equation; wave solution; bright soliton; traveling wave

Journal Title: Physica Scripta
Year Published: 2021

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