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Superposition Formula of arbitrary functions to a (3+1)-demensional Boiti-Leon-Manna-Pempinelli equation
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Abstract
The (3+1)-dimensional Boiti-Leonon-Manna-Pempinelli equation was studied by using Hirita bilinear method. In this paper, we successfully derived the multi-solutions of this equation by superposition $M$-arbitrary functions. Some solutions from previous studies were found when $M$ took a specific value and the test functions took particular functions. Thus, the recieved solutions were more general compared to the previous studies. A variety of new solutions can be obtained by choosing different values of the parameter $M$ and test functions $f$ in this paper, i.e., the localized solutions generated by $M$-positive quadratic functions, the mixed solutions consisting of the localized wave solutions and the kink wave solutions, and the mixed solutions consisting of a trigonometric function and exponential functions. Meanwhile, their corresponding physical plots are displayed to analyze their physical significance and dynamic properties.
Title: Superposition Formula of arbitrary functions to a (3+1)-demensional Boiti-Leon-Manna-Pempinelli equation
Description:
Abstract
The (3+1)-dimensional Boiti-Leonon-Manna-Pempinelli equation was studied by using Hirita bilinear method.
In this paper, we successfully derived the multi-solutions of this equation by superposition $M$-arbitrary functions.
Some solutions from previous studies were found when $M$ took a specific value and the test functions took particular functions.
Thus, the recieved solutions were more general compared to the previous studies.
A variety of new solutions can be obtained by choosing different values of the parameter $M$ and test functions $f$ in this paper, i.
e.
, the localized solutions generated by $M$-positive quadratic functions, the mixed solutions consisting of the localized wave solutions and the kink wave solutions, and the mixed solutions consisting of a trigonometric function and exponential functions.
Meanwhile, their corresponding physical plots are displayed to analyze their physical significance and dynamic properties.
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