Abundant solitary wave solutions of Gardner's equation using three effective integration techniques-Reference-Cited by-同舟云学术

Abundant solitary wave solutions of Gardner's equation using three effective integration techniques

Published:2023 Issue:4 Volume:8 Page:8171-8184
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Akram Ghazala¹,Arshed Saima¹,Sadaf Maasoomah¹,Mariyam Hajra¹,Aslam Muhammad Nauman²,Ahmad Riaz³,Khan Ilyas⁴,Alzahrani Jawaher⁴

Affiliation:

1. Department of Mathematics, University of the Punjab, Lahore, Pakistan

2. Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

3. Department of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, China

4. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

Abstract

<abstract><p>Gardner's equation has been discussed in the article for finding new solitary wave solutions. Three efficient integration techniques, namely, the Kudryashov's <italic>R</italic> function method, the generalized projective Ricatti method and $ \frac{G'}{G^2} $-expansion method are implemented to obtain new dark soliton, bright soliton, singular soliton, and combo soliton solutions. Moreover, some of the obtained solutions are graphically depicted by using $ 3 $D-surface plots and the corresponding $ 2 $D-contour graphs.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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