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- Title
Further physical study about solution structures for nonlinear q-deformed Sinh–Gordon equation along with bifurcation and chaotic behaviors.
- Authors
Bai, Leiqiang; Qi, Jianming; Sun, Yiqun
- Abstract
The main novelty of this paper lies in five aspects: (1) To our best knowledge, the modified G ′ G 2 -expansion method was firstly applied in nonlinear q-deformed Sinh–Gordon equation (NQSGE). (2) The effects of wave obliqueness about NQSGE are firstly discussed in this paper which did not happen in previous papers. (3) Phase portraits and bifurcation behaviors about NQSGE are also firstly investigated in Hamiltonian system that did not appear in previous studies. (4) Sensitive analysis to initial value and chaotic behavior are also firstly studied in NQSGE. (5) The modified Riemann–Liouville, Beta, Conformable and M-truncated fractional derivatives are tested for accuracy in Fig. 18a, b. To our best knowledge, we seem firstly compare the relations and distinctions among different fractional-order derivatives in NQSGE model. The generalizations (1)–(5) indicated that the wave propagation of solitions about NQSGE model is mastered by the changed fraction, changed wave obliqueness angle and other physical factors.
- Subjects
HAMILTONIAN systems; THEORY of wave motion; EQUATIONS; FRACTIONS; ANGLES; BIFURCATION diagrams; LORENZ equations
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 21, p20165
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-08882-0