BIFURCATION AND EXACT SOLUTIONS OF SPACE-TIME FRACTIONAL SIMPLIFIED MODIFIED CAMASSA–HOLM EQUATION

Yanzhi Ma and Zenggui Wang
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Yanzhi Ma: School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P. R. China
Zenggui Wang: School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 07, 1-13

Abstract: In this paper, exact traveling wave solutions of space-time fractional simplified modified Camassa–Holm (mCH) equation are investigated by the bifurcation theory. The phase portraits of the equation are obtained with different parameter conditions. By analyzing different orbits, periodic wave, kink, anti-kink, burst wave, bright and dark solitary solutions of the equation are acquired. Finally, numerical simulation and the effects of fractional order taking on the dynamic behaviors of various forms of solutions are analytically discussed.

Keywords: Bifurcation; Phase Portraits; Exact Solutions; mCH Equation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23500858

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