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Family of nonlinear wave equations which yield loop solutions and solitary wave solutions
1.  Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004 
[1] 
Út V. Lê. Regularity of the solution of a nonlinear wave equation. Communications on Pure & Applied Analysis, 2010, 9 (4) : 10991115. doi: 10.3934/cpaa.2010.9.1099 
[2] 
Claudianor O. Alves. Existence of periodic solution for a class of systems involving nonlinear wave equations. Communications on Pure & Applied Analysis, 2005, 4 (3) : 487498. doi: 10.3934/cpaa.2005.4.487 
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Xue Yang, Xinglong Wu. Wave breaking and persistent decay of solution to a shallow water wave equation. Discrete & Continuous Dynamical Systems  S, 2016, 9 (6) : 21492165. doi: 10.3934/dcdss.2016089 
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Oussama Landoulsi. Construction of a solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle in the $ L^2 $supercritical case. Discrete & Continuous Dynamical Systems, 2021, 41 (2) : 701746. doi: 10.3934/dcds.2020298 
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Alain Hertzog, Antoine Mondoloni. Existence of a weak solution for a quasilinear wave equation with boundary condition. Communications on Pure & Applied Analysis, 2002, 1 (2) : 191219. doi: 10.3934/cpaa.2002.1.191 
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José F. Caicedo, Alfonso Castro. A semilinear wave equation with smooth data and no resonance having no continuous solution. Discrete & Continuous Dynamical Systems, 2009, 24 (3) : 653658. doi: 10.3934/dcds.2009.24.653 
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Hyungjin Huh. A special form of solution to halfwave equations. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021056 
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Jiao Chen, Weike Wang. The pointwise estimates for the solution of damped wave equation with nonlinear convection in multidimensional space. Communications on Pure & Applied Analysis, 2014, 13 (1) : 307330. doi: 10.3934/cpaa.2014.13.307 
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Jibin Li, Yi Zhang. Exact solitary wave and quasiperiodic wave solutions for four fifthorder nonlinear wave equations. Discrete & Continuous Dynamical Systems  B, 2010, 13 (3) : 623631. doi: 10.3934/dcdsb.2010.13.623 
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Yoichi Enatsu, Emiko Ishiwata, Takeo Ushijima. Traveling wave solution for a diffusive simple epidemic model with a free boundary. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 835850. doi: 10.3934/dcdss.2020387 
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Ran Zhang, Shengqiang Liu. On the asymptotic behaviour of traveling wave solution for a discrete diffusive epidemic model. Discrete & Continuous Dynamical Systems  B, 2021, 26 (2) : 11971204. doi: 10.3934/dcdsb.2020159 
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JongShenq Guo, YingChih Lin. Traveling wave solution for a lattice dynamical system with convolution type nonlinearity. Discrete & Continuous Dynamical Systems, 2012, 32 (1) : 101124. doi: 10.3934/dcds.2012.32.101 
[13] 
Kaïs Ammari, Thomas Duyckaerts, Armen Shirikyan. Local feedback stabilisation to a nonstationary solution for a damped nonlinear wave equation. Mathematical Control & Related Fields, 2016, 6 (1) : 125. doi: 10.3934/mcrf.2016.6.1 
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Weiguo Zhang, Yan Zhao, Xiang Li. Qualitative analysis to the traveling wave solutions of KakutaniKawahara equation and its approximate damped oscillatory solution. Communications on Pure & Applied Analysis, 2013, 12 (2) : 10751090. doi: 10.3934/cpaa.2013.12.1075 
[15] 
Anupam Sen, T. Raja Sekhar. Delta shock wave and wave interactions in a thin film of a perfectly soluble antisurfactant solution. Communications on Pure & Applied Analysis, 2020, 19 (5) : 26412653. doi: 10.3934/cpaa.2020115 
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Liu Rui. The explicit nonlinear wave solutions of the generalized $b$equation. Communications on Pure & Applied Analysis, 2013, 12 (2) : 10291047. doi: 10.3934/cpaa.2013.12.1029 
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Oana Pocovnicu. Explicit formula for the solution of the Szegö equation on the real line and applications. Discrete & Continuous Dynamical Systems, 2011, 31 (3) : 607649. doi: 10.3934/dcds.2011.31.607 
[18] 
Zhaosheng Feng, Qingguo Meng. Exact solution for a twodimensional KDVBurgerstype equation with nonlinear terms of any order. Discrete & Continuous Dynamical Systems  B, 2007, 7 (2) : 285291. doi: 10.3934/dcdsb.2007.7.285 
[19] 
Zhaoquan Xu, Jiying Ma. Monotonicity, asymptotics and uniqueness of travelling wave solution of a nonlocal delayed lattice dynamical system. Discrete & Continuous Dynamical Systems, 2015, 35 (10) : 51075131. doi: 10.3934/dcds.2015.35.5107 
[20] 
HaiFeng Huo, ShiKe Hu, Hong Xiang. Traveling wave solution for a diffusion SEIR epidemic model with selfprotection and treatment. Electronic Research Archive, 2021, 29 (3) : 23252358. doi: 10.3934/era.2020118 
2020 Impact Factor: 1.392
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