Dark and trigonometric soliton solutions in asymmetrical Nizhnik-Novikov-Veselov equation with (2+1)-dimensional

Haci Mehmet Baskonus

doi:10.11121/ijocta.01.2021.00786

Authors

Haci Mehmet Baskonus Harran University, Sanliurfa, Turkey https://orcid.org/0000-0003-4085-3625

DOI:

https://doi.org/10.11121/ijocta.01.2021.00786

Keywords:

(2 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation, Modified exponential function method, Dark and trigonometric solutions, Contour surfaces

Abstract

In this manuscript, new dark and trigonometric function traveling wave soliton solutions to the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation by using the modified exponential function method are successfully obtained. Along with novel dark structures, trigonometric solutions are also extracted. For deeper investigating of waves propagation on the surface, 2D and 3D graphs along with contour simulations via computational programs such as Wolfram Mathematica, Matlap softwares and so on are presented.

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Author Biography

Haci Mehmet Baskonus, Harran University, Sanliurfa, Turkey

received the PhD degree in Mathematics from the Firat University, Turkey, in 2014. He is currently an Associate Professor at the Department of Mathematics and Science Education in Harran University. His research interests include ordinary and partial differential equations, analytical methods for linear and nonlinear differential equations, mathematical physics, numerical solutions of the partial differential equations, fractional differential equations (of course ordinary and partial) and computer programming like Mathematica.

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