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

Abstract

Gardner's equation has been discussed in the article for finding new solitary wave solutions. Three efficient integration techniques, namely, the Kudryashov's R 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.

Keywords

• gardner's equation
• kudryashov's r function method
• generalized projective riccati equations method
• $ \frac{g'}{g^2} $-expansion method
• solitary wave solution