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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] 
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 
[3] 
Oana Pocovnicu. Explicit formula for the solution of the Szegö equation on the real line and applications. Discrete & Continuous Dynamical Systems  A, 2011, 31 (3) : 607649. doi: 10.3934/dcds.2011.31.607 
[4] 
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 
[5] 
Aleksa Srdanov, Radiša Stefanović, Aleksandra Janković, Dragan Milovanović. "Reducing the number of dimensions of the possible solution space" as a method for finding the exact solution of a system with a large number of unknowns. Mathematical Foundations of Computing, 2019, 2 (2) : 8393. doi: 10.3934/mfc.2019007 
[6] 
Dominique Blanchard, Nicolas Bruyère, Olivier Guibé. Existence and uniqueness of the solution of a Boussinesq system with nonlinear dissipation. Communications on Pure & Applied Analysis, 2013, 12 (5) : 22132227. doi: 10.3934/cpaa.2013.12.2213 
[7] 
Dominika Pilarczyk. Asymptotic stability of singular solution to nonlinear heat equation. Discrete & Continuous Dynamical Systems  A, 2009, 25 (3) : 9911001. doi: 10.3934/dcds.2009.25.991 
[8] 
V.N. Malozemov, A.V. Omelchenko. On a discrete optimal control problem with an explicit solution. Journal of Industrial & Management Optimization, 2006, 2 (1) : 5562. doi: 10.3934/jimo.2006.2.55 
[9] 
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 
[10] 
Feng Li, Yuxiang Li. Global existence of weak solution in a chemotaxisfluid system with nonlinear diffusion and rotational flux. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 128. doi: 10.3934/dcdsb.2019064 
[11] 
JongShenq Guo, YingChih Lin. Traveling wave solution for a lattice dynamical system with convolution type nonlinearity. Discrete & Continuous Dynamical Systems  A, 2012, 32 (1) : 101124. doi: 10.3934/dcds.2012.32.101 
[12] 
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 
[13] 
Jifeng Chu, Delia IonescuKruse, Yanjuan Yang. Exact solution and instability for geophysical waves at arbitrary latitude. Discrete & Continuous Dynamical Systems  A, 2019, 39 (8) : 43994414. doi: 10.3934/dcds.2019178 
[14] 
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 
[15] 
José F. Caicedo, Alfonso Castro. A semilinear wave equation with smooth data and no resonance having no continuous solution. Discrete & Continuous Dynamical Systems  A, 2009, 24 (3) : 653658. doi: 10.3934/dcds.2009.24.653 
[16] 
Bhargav Kumar Kakumani, Suman Kumar Tumuluri. Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions. Discrete & Continuous Dynamical Systems  B, 2017, 22 (2) : 407419. doi: 10.3934/dcdsb.2017019 
[17] 
Guofu Lu. Nonexistence and short time asymptotic behavior of sourcetype solution for porous medium equation with convection in onedimension. Discrete & Continuous Dynamical Systems  B, 2016, 21 (5) : 15671586. doi: 10.3934/dcdsb.2016011 
[18] 
Francisco Ortegón Gallego, María Teresa González Montesinos. Existence of a capacity solution to a coupled nonlinear parabolicelliptic system. Communications on Pure & Applied Analysis, 2007, 6 (1) : 2342. doi: 10.3934/cpaa.2007.6.23 
[19] 
Carl. T. Kelley, Liqun Qi, Xiaojiao Tong, Hongxia Yin. Finding a stable solution of a system of nonlinear equations arising from dynamic systems. Journal of Industrial & Management Optimization, 2011, 7 (2) : 497521. doi: 10.3934/jimo.2011.7.497 
[20] 
Biswajit Basu. On an exact solution of a nonlinear threedimensional model in ocean flows with equatorial undercurrent and linear variation in density. Discrete & Continuous Dynamical Systems  A, 2019, 39 (8) : 47834796. doi: 10.3934/dcds.2019195 
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