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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 and 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 and Applied Analysis, 2005, 4 (3) : 487498. doi: 10.3934/cpaa.2005.4.487 
[3] 
Xue Yang, Xinglong Wu. Wave breaking and persistent decay of solution to a shallow water wave equation. Discrete and 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 and 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 and 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 and 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 and Control Theory, 2021 doi: 10.3934/eect.2021056 
[8] 
Jiao Chen, Weike Wang. The pointwise estimates for the solution of damped wave equation with nonlinear convection in multidimensional space. Communications on Pure and Applied Analysis, 2014, 13 (1) : 307330. doi: 10.3934/cpaa.2014.13.307 
[9] 
Jibin Li, Yi Zhang. Exact solitary wave and quasiperiodic wave solutions for four fifthorder nonlinear wave equations. Discrete and 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 and 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 and 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 and 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 and Related Fields, 2016, 6 (1) : 125. doi: 10.3934/mcrf.2016.6.1 
[14] 
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 and 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 and Applied Analysis, 2020, 19 (5) : 26412653. doi: 10.3934/cpaa.2020115 
[16] 
Liu Rui. The explicit nonlinear wave solutions of the generalized $b$equation. Communications on Pure and Applied Analysis, 2013, 12 (2) : 10291047. doi: 10.3934/cpaa.2013.12.1029 
[17] 
Oana Pocovnicu. Explicit formula for the solution of the Szegö equation on the real line and applications. Discrete and 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 and 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 and 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 
2021 Impact Factor: 1.588
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