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| Bifurcations and Exact Solutions of the Gerdjikov-Ivanov Equation |
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| KeyWord:Bifurcation, exact solution, planar Hamiltonian system, Gerdjikov-Ivanov equation |
| Author Name | Affiliation | | Jinsen Zhuang | School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, China | | Yan Zhou | School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, China | | Jibin Li | School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, China
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China |
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| Abstract: |
| For the Gerdjikov-Ivanov equation, by using the method of dynamical system, this paper investigates the exact explicit solutions with the form $q(x,t)=\phi(\xi)\exp{[i(\kappa x-\omega t+\theta(\xi))]}, \xi=x-ct. $ In the given parameter regions, more than 14 explicit exact parametric representations are presented. |
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