Statistics

Symbolic computation

Algorithm

Mathematical analysis

Function (biology)

Exponential function

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Trigonometric functions

Pure mathematics

Bilinear interpolation

Geometry

Maple

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Applied mathematics

Trigonometry

Mathematics

Botany

Evolutionary biology

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Hyperbolic function

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Periodic function

Computers & Mathematics with Applications

This paper retrieves new periodic solitary wave solutions for the (3+1)-dimensional extended Jimbo–Miwa equations, based on the Hirota bilinear method, by utilizing Maple software. As a result, the Hirota bilinear method is successfully employed and acquired several classes of solitary wave solutions in terms of a new combination of exponential function, trigonometric function and hyperbolic functions. All solutions have been verified back into its corresponding equation by Maple. We depicted the physical explanation of the extracted solutions with the free choice of the different parameters by plotting some 3D and 2D illustrations. Finally, it has been illustrated that the executed method is robust and more efficient than other methods and the obtained solutions are trustworthy in the applied sciences.

Novel solitary wave solutions for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml45" display="inline" overflow="scroll" altimg="si45.gif"><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional extended Jimbo–Miwa equations

Novel solitary wave solutions for the (3+1)-dimensional extended Jimbo–Miwa equations