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On the connection formulas of the third Painlevé transcendent
Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves
1.  Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong, China 
2.  Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON M3J 1P3 
3.  Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ 07102, United States 
[1] 
Guangying Lv, Jinlong Wei, Guangan Zou. Noise and stability in reactiondiffusion equations. Mathematical Control & Related Fields, 2021 doi: 10.3934/mcrf.2021005 
[2] 
Scipio Cuccagna, Masaya Maeda. A survey on asymptotic stability of ground states of nonlinear Schrödinger equations II. Discrete & Continuous Dynamical Systems  S, 2021, 14 (5) : 16931716. doi: 10.3934/dcdss.2020450 
[3] 
GuoBao Zhang, Ruyun Ma, XueShi Li. Traveling waves of a LotkaVolterra strong competition system with nonlocal dispersal. Discrete & Continuous Dynamical Systems  B, 2018, 23 (2) : 587608. doi: 10.3934/dcdsb.2018035 
[4] 
WeiJian Bo, Guo Lin, Shigui Ruan. Traveling wave solutions for time periodic reactiondiffusion systems. Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 43294351. doi: 10.3934/dcds.2018189 
[5] 
Rui Hu, Yuan Yuan. Stability, bifurcation analysis in a neural network model with delay and diffusion. Conference Publications, 2009, 2009 (Special) : 367376. doi: 10.3934/proc.2009.2009.367 
[6] 
Zengyun Wang, Jinde Cao, Zuowei Cai, Lihong Huang. Finitetime stability of impulsive differential inclusion: Applications to discontinuous impulsive neural networks. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 26772692. doi: 10.3934/dcdsb.2020200 
[7] 
Meiqiao Ai, Zhimin Zhang, Wenguang Yu. First passage problems of refracted jump diffusion processes and their applications in valuing equitylinked death benefits. Journal of Industrial & Management Optimization, 2021 doi: 10.3934/jimo.2021039 
[8] 
Nizami A. Gasilov. Solving a system of linear differential equations with interval coefficients. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 27392747. doi: 10.3934/dcdsb.2020203 
[9] 
Jiangxing Wang. Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 24292440. doi: 10.3934/dcdsb.2020185 
[10] 
Arunima Bhattacharya, Micah Warren. $ C^{2, \alpha} $ estimates for solutions to almost Linear elliptic equations. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2021024 
[11] 
Qigang Yuan, Jingli Ren. Periodic forcing on degenerate hopf bifurcation. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 28572877. doi: 10.3934/dcdsb.2020208 
[12] 
Nabahats DibBaghdadli, Rabah Labbas, Tewfik Mahdjoub, Ahmed Medeghri. On some reactiondiffusion equations generated by nondomiciliated triatominae, vectors of Chagas disease. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2021004 
[13] 
Xiaoming Wang. Quasiperiodic solutions for a class of second order differential equations with a nonlinear damping term. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 543556. doi: 10.3934/dcdss.2017027 
[14] 
Dmitry Treschev. Travelling waves in FPU lattices. Discrete & Continuous Dynamical Systems  A, 2004, 11 (4) : 867880. doi: 10.3934/dcds.2004.11.867 
[15] 
Hirofumi Notsu, Masato Kimura. Symmetry and positive definiteness of the tensorvalued spring constant derived from P1FEM for the equations of linear elasticity. Networks & Heterogeneous Media, 2014, 9 (4) : 617634. doi: 10.3934/nhm.2014.9.617 
[16] 
ChinChin Wu. Existence of traveling wavefront for discrete bistable competition model. Discrete & Continuous Dynamical Systems  B, 2011, 16 (3) : 973984. doi: 10.3934/dcdsb.2011.16.973 
[17] 
Jian Yang, Bendong Lou. Traveling wave solutions of competitive models with free boundaries. Discrete & Continuous Dynamical Systems  B, 2014, 19 (3) : 817826. doi: 10.3934/dcdsb.2014.19.817 
[18] 
Vieri Benci, Sunra Mosconi, Marco Squassina. Preface: Applications of mathematical analysis to problems in theoretical physics. Discrete & Continuous Dynamical Systems  S, 2021, 14 (5) : ii. doi: 10.3934/dcdss.2020446 
[19] 
Pascal Noble, Sebastien Travadel. Nonpersistence of rollwaves under viscous perturbations. Discrete & Continuous Dynamical Systems  B, 2001, 1 (1) : 6170. doi: 10.3934/dcdsb.2001.1.61 
[20] 
Liqin Qian, Xiwang Cao. Character sums over a nonchain ring and their applications. Advances in Mathematics of Communications, 2021 doi: 10.3934/amc.2020134 
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