
Previous Article
An asymptotic analysis of the persistence threshold for the diffusive logistic model in spatial environments with localized patches
 DCDSB Home
 This Issue

Next Article
Stationary patterns for an adsorbateinduced phase transition model I: Existence
On the traveling wave solutions for a nonlinear diffusionconvection equation: Dynamical system approach
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, 2019, 24 (10) : 54095436. 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] 
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 
[17] 
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 
[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 
2018 Impact Factor: 1.008
Tools
Metrics
Other articles
by authors
[Back to Top]