Study on the Nonlinear Dynamics of the (3+1)-Dimensional Jimbo-Miwa Equation in Plasma Physics
نویسندگان
چکیده
The Jimbo-Miwa equation (JME) that describes certain interesting (3+1)-dimensional waves in plasma physics is studied this work. Hirota bilinear developed via the Cole-Hopf transform. Then, symbolic computation, together with ansatz function schemes, are utilized to seek exact solutions. Some new solutions, such as multi-wave complexiton solution (MWCS), (MWS) and periodic lump (PLS), successfully constructed. Additionally, different types of travelling wave solutions (TWS), including dark, bright-dark singular disclosed by employing sub-equation method. Finally, physical characteristics interaction behaviors extracted depicted graphically assigning appropriate parameters. obtained outcomes paper more general newer. they reveal used methods concise, direct, can be employed study other partial differential equations (PDEs) physics.
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By means of the extended homoclinic test approach (shortly EHTA) with the aid of a symbolic computation system such as Maple, some complexiton type solutions for the (3+1)-dimensional Jimbo-Miwa equation are presented. Keywords—Jimbo-Miwa equation, Painlevé analysis, Hirota’s bilinear form, Computerized symbolic computation.
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ژورنال
عنوان ژورنال: Axioms
سال: 2023
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms12060592