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Bifurcations and Traveling Wave Solutions of a Generalized b-Family of Novikov Equation
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
- 1 School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
- 2 School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
- 3 School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
Advances in Pure Mathematics·Volume 15 (2025)·Pages 711–717·Published 3 November 2025·DOI10.4236/apm.2025.1511037
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Abstract
The Novikov equation is an important shallow water wave model with broad applications in fields, such as fluid mechanics and physics. In this paper, a generalized b-family of Novikov equation is studied by the bifurcation theory method of dynamical system. Firstly, this model is transformed into a planar Hamiltonian system through the traveling wave transformation. Then, the phase portraits of the planar dynamical system under different parameters are then generated using Maple. And two new types of implicit traveling wave solutions are obtained.
KeywordsA Generalized b-Family of Novikov EquationTraveling Wave SolutionBifurcation Theory
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