<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper applies a powerful scheme, namely Bernoulli sub-equation function method, to some partial differential equations with high non-linearity. Many new travelling wave solutions, such as mixed dark-bright soliton, exponential and complex domain, are reported. Under a suitable choice of the values of parameters, wave behaviours of the results obtained in the paper – in terms of 2D, 3D and contour surfaces – are observed.</p>
</abstract>

This paper applies a powerful scheme, namely Bernoulli sub-equation function method, to some partial differential equations with high non-linearity. Many new travelling wave solutions, such as mixed dark-bright soliton, exponential and complex domain, are reported. Under a suitable choice of the values of parameters, wave behaviours of the results obtained in the paper – in terms of 2D, 3D and contour surfaces – are observed.

Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

This paper applies a powerful scheme, namely Bernoulli sub-equation function method, to some partial differential equations with high non-linearity. Many new...

Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations

Published Online: Apr 27, 2023

Page range: 81 - 100

Received: Aug 25, 2020

Accepted: Oct 19, 2020

DOI: https://doi.org/10.2478/amns.2021.1.00006

Keywords
Integro-partial differential equation, Fifth-Order integrable model, Analytical method, Rational function solution, Complex Solution, Contour surface, Travelling wave solutions, Mixed dark-bright soliton

© 2021 Haci Mehmet Baskonus and Mustafa Kayan, published by Sciendo.

This work is licensed under the Creative Commons Attribution 4.0 International License.

Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations

Published Online: Apr 27, 2023

Page range: 81 - 100

Received: Aug 25, 2020

Accepted: Oct 19, 2020

DOI: https://doi.org/10.2478/amns.2021.1.00006

KeywordsIntegro-partial differential equation, Fifth-Order integrable model, Analytical method, Rational function solution, Complex Solution, Contour surface, Travelling wave solutions, Mixed dark-bright soliton

© 2021 Haci Mehmet Baskonus and Mustafa Kayan, published by Sciendo.

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Integro-partial differential equation, Fifth-Order integrable model, Analytical method, Rational function solution, Complex Solution, Contour surface, Travelling wave solutions, Mixed dark-bright soliton