Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms
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Publication:2196581
zbMath1458.34071MaRDI QIDQ2196581
Yong-Hui Xia, Yuzhen Bai, Wenjing Zhu
Publication date: 3 September 2020
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ade/1589594420
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)
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Cites Work
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- Existence of solitary waves and periodic waves for a perturbed generalized BBM equation
- Invariant subspaces and exact solutions of a class of dispersive evolution equations
- Duffing-van der Pol-type oscillator system and its first integrals
- Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form
- Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Traveling wave solutions for nonlinear equations using symbolic computation
- The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach
- Exact solitons, periodic peakons and compactons in an optical soliton model
- Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations
- Bifurcations and exact traveling wave solutions of a new two-component system
- Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation
- Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation
- New compacton solutions and solitary wave solutions of fully nonlinear generalized Camassa--Holm equations
- Quasi-periodic solutions to the two-component nonlinear Klein-Gordon equation
- Exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction
- An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions
- Loop solutions, breaking kink (or anti-kink) wave solutions, solitary wave solutions and periodic wave solutions for the two-component Degasperis-Procesi equation
- Explicit exact traveling wave solutions and bifurcations of the generalized combined double \(\sinh\)-\(\cosh\)-Gordon equation
- Kinks and travelling wave solutions for Burgers-like equations
- Bifurcations of travelling wave solutions for the generalized double sinh-Gordon equation
- A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves
- Dynamical behavior of singular traveling waves of (\(n+1\))-dimensional nonlinear Klein-Gordon equation
- The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations
- Exact solution for \((2+1)\)-dimension nonlinear dispersive long wave equation
- The variable separated ODE and the tanh methods for solving the combined and the double combined sinh-cosh-Gordon equations
- Travelling wave solutions for the generalized Burgers-Huxley equation
- Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
- A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue
- ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
- ON NONLINEAR WAVE EQUATIONS WITH BREAKING LOOP-SOLUTIONS
- Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
- Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation
- Exact Torus Knot Periodic Orbits and Homoclinic Orbits in a Class of Three-Dimensional Flows Generated by a Planar Cubic System
- Limit Cycles in a Model of Olfactory Sensory Neurons
- Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
- Bifurcations of traveling wave solutions for an integrable equation
- On travelling wave solutions of the Burgers–Korteweg–de Vries equation
- Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations
- Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
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