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New solitary wave solutions of generalized fractional Tzitzéica-type evolution equations using Sardar sub-equation Method
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Abstract
In this study, Sardar sub-equation method (SSM) is employed to obtain the solitary wave solutions for generalized fractional Tzitzéica type equations. By utilizing this method, novel solutions are derived for Tzitzéica, Tzitzéica Dodd-Bullough-Mikhailov (TDBM) and Tzitzéica-Dodd-Bullough (TDB) equations in terms of fractional derivatives. The benefit of SSM is that it offers a wide variety of soliton solutions, consisting of dark, bright, singular, periodic singular as well as combined dark-singular and combined dark-bright solitons. These solutions provide valuable insights into the intricate dynamics of generalized fractional Tzitzéica type evolution equations. Our findings reveal that the proposed method presents a comprehensive and efficient approach to explore exact solitary wave solutions for generalized fractional Tzitzeica type evolution equations.
Title: New solitary wave solutions of generalized fractional Tzitzéica-type evolution equations using Sardar sub-equation Method
Description:
Abstract
In this study, Sardar sub-equation method (SSM) is employed to obtain the solitary wave solutions for generalized fractional Tzitzéica type equations.
By utilizing this method, novel solutions are derived for Tzitzéica, Tzitzéica Dodd-Bullough-Mikhailov (TDBM) and Tzitzéica-Dodd-Bullough (TDB) equations in terms of fractional derivatives.
The benefit of SSM is that it offers a wide variety of soliton solutions, consisting of dark, bright, singular, periodic singular as well as combined dark-singular and combined dark-bright solitons.
These solutions provide valuable insights into the intricate dynamics of generalized fractional Tzitzéica type evolution equations.
Our findings reveal that the proposed method presents a comprehensive and efficient approach to explore exact solitary wave solutions for generalized fractional Tzitzeica type evolution equations.
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