A unified analysis of exact traveling wave solutions for the fractional-order and integer-order Biswas-Milovic equation: via bifurcation theory of dynamical system
DOI10.1007/s12346-020-00352-xzbMath1450.34008OpenAlexW3001565297WikidataQ126306017 ScholiaQ126306017MaRDI QIDQ2301725
Yong-Hui Xia, Bei Zhang, Yuzhen Bai, Wenjing Zhu
Publication date: 25 February 2020
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-020-00352-x
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07) Fractional partial differential equations (35R11)
Related Items (14)
Cites Work
- Unnamed Item
- Unnamed Item
- Optical solitons with Biswas-Milovic equation for power law and dual-power law nonlinearities
- The first integral method for Wu-Zhang system with conformable time-fractional derivative
- Optical solitons with Biswas-Milovic equation by extended trial equation method
- Exact traveling wave solutions and bifurcations of the Biswas-Milovic equation
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Bright and dark solitons of the generalized nonlinear Schrödinger's equation
- Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation
- Counterexamples on Jumarie's two basic fractional calculus formulae
- Exact traveling wave solutions to the fractional coupled nonlinear Schrödinger equations
- A new definition of fractional derivative
- Explicit exact traveling wave solutions and bifurcations of the generalized combined double \(\sinh\)-\(\cosh\)-Gordon equation
- Invariant solutions of Biswas-Milovic equation
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- Soliton solutions of the generalized Klein-Gordon equation by using \(\left(\frac{G'}{G}\right)\)-expansion method
- A multiple exp-function method for nonlinear differential equations and its application
- ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
- Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
- Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications
This page was built for publication: A unified analysis of exact traveling wave solutions for the fractional-order and integer-order Biswas-Milovic equation: via bifurcation theory of dynamical system