Exact solutions and bifurcation for the resonant nonlinear Schrödinger equation with competing weakly nonlocal nonlinearity and fractional temporal evolution
DOI10.1080/17455030.2019.1706013zbMath1495.78009OpenAlexW3000766327MaRDI QIDQ5081739
Xuan Zhou, Panpan Wang, Ying Wang, Wen-Rui Shan
Publication date: 17 June 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2019.1706013
PDEs in connection with optics and electromagnetic theory (35Q60) Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07) Soliton solutions (35C08) Fractional partial differential equations (35R11) Trigonometric solutions to PDEs (35C09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The bifurcation and exact travelling wave solutions of \((1 + 2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Fractional complex transform for fractional differential equations
- On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation
- Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs
- Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics
- Bifurcations and exact traveling wave solutions for a class of nonlinear fourth-order partial differential equations
- Traveling wave solutions of the generalized nonlinear evolution equations
- Bifurcation of periodic solutions and invariant tori for a four-dimensional system
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Explicit Weierstrass traveling wave solutions and bifurcation analysis for dissipative Zakharov-Kuznetsov modified equal width equation
- Bifurcation analysis and solutions of a three-dimensional Kudryashov-Sinelshchikov equation in the bubbly liquid
- Bifurcation and exact traveling wave solutions for dual power Zakharov-Kuznetsov-Burgers equation with fractional temporal evolution
- Bifurcation of traveling waves and exact solutions of Kadomtsev-Petviashvili modified equal width equation with fractional temporal evolution
- Dynamical survey of the dual power Zakharov-Kuznetsov-Burgers equation with external periodic perturbation
- Simplest equation method to look for exact solutions of nonlinear differential equations
- ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
- RESONANCE SOLITONS AS BLACK HOLES IN MADELUNG FLUID
- BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR FOUR CLASSES OF NONLINEAR WAVE EQUATIONS
