Hamel, F.; Ninomiya, H. Localized and expanding entire solutions of reaction-diffusion equations. (English) Zbl 1503.35017 J. Dyn. Differ. Equations 34, No. 4, 2937-2974 (2022). MSC: 35B08 35K57 PDFBibTeX XMLCite \textit{F. Hamel} and \textit{H. Ninomiya}, J. Dyn. Differ. Equations 34, No. 4, 2937--2974 (2022; Zbl 1503.35017) Full Text: DOI arXiv
Niu, Hui-Ling Multidimensional stability of V-shaped traveling fronts in bistable reaction-diffusion equations with nonlinear convection. (English) Zbl 1484.35264 AIMS Math. 6, No. 1, 314-332 (2021). MSC: 35K57 35C07 35B35 35B40 PDFBibTeX XMLCite \textit{H.-L. Niu}, AIMS Math. 6, No. 1, 314--332 (2021; Zbl 1484.35264) Full Text: DOI
Wang, Kelei Lipschitz property of bistable or combustion fronts and its applications. (English. French summary) Zbl 1477.35012 J. Math. Pures Appl. (9) 156, 215-244 (2021). MSC: 35B08 35K57 35F21 80A25 PDFBibTeX XMLCite \textit{K. Wang}, J. Math. Pures Appl. (9) 156, 215--244 (2021; Zbl 1477.35012) Full Text: DOI arXiv
Niu, Hui-Ling; Liu, Jiayin Curved fronts of bistable reaction-diffusion equations with nonlinear convection. (English) Zbl 1486.35266 Adv. Difference Equ. 2020, Paper No. 484, 26 p. (2020). MSC: 35K57 35C07 35B35 35B40 PDFBibTeX XMLCite \textit{H.-L. Niu} and \textit{J. Liu}, Adv. Difference Equ. 2020, Paper No. 484, 26 p. (2020; Zbl 1486.35266) Full Text: DOI
Ghazaryan, Anna; Latushkin, Yuri; Pogan, Alin Spectrum of non-planar traveling waves. (English) Zbl 1512.47073 Integral Equations Oper. Theory 90, No. 3, Paper No. 30, 20 p. (2018). MSC: 47F05 47B28 35C05 35P05 47D03 PDFBibTeX XMLCite \textit{A. Ghazaryan} et al., Integral Equations Oper. Theory 90, No. 3, Paper No. 30, 20 p. (2018; Zbl 1512.47073) Full Text: DOI arXiv
Bao, Xiong-Xiong; Li, Wan-Tong; Wang, Zhi-Cheng Time periodic traveling curved fronts in the periodic Lotka-Volterra competition-diffusion system. (English) Zbl 1374.35408 J. Dyn. Differ. Equations 29, No. 3, 981-1016 (2017). MSC: 35Q92 35K57 35C07 35B10 35K40 35B35 PDFBibTeX XMLCite \textit{X.-X. Bao} et al., J. Dyn. Differ. Equations 29, No. 3, 981--1016 (2017; Zbl 1374.35408) Full Text: DOI
Wang, Zhi-Cheng; Niu, Hui-Ling; Ruan, Shigui On the existence of axisymmetric traveling fronts in Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^3\). (English) Zbl 1360.35097 Discrete Contin. Dyn. Syst., Ser. B 22, No. 3, 1111-1144 (2017). MSC: 35K57 35B35 35B40 35Q92 92D25 PDFBibTeX XMLCite \textit{Z.-C. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 3, 1111--1144 (2017; Zbl 1360.35097) Full Text: DOI
Sheng, Wei-Jie Time periodic traveling curved fronts of bistable reaction-diffusion equations in \({\mathbb {R}}^3\). (English) Zbl 1361.35040 Ann. Mat. Pura Appl. (4) 196, No. 2, 617-639 (2017). MSC: 35C07 35K57 35B10 35K15 PDFBibTeX XMLCite \textit{W.-J. Sheng}, Ann. Mat. Pura Appl. (4) 196, No. 2, 617--639 (2017; Zbl 1361.35040) Full Text: DOI
Bao, Xiongxiong Time periodic traveling fronts of pyramidal shapes for periodic Lotka-Volterra competition-diffusion system. (English) Zbl 1356.35077 Nonlinear Anal., Real World Appl. 35, 292-311 (2017). MSC: 35C07 35B35 35K57 35B10 92D25 PDFBibTeX XMLCite \textit{X. Bao}, Nonlinear Anal., Real World Appl. 35, 292--311 (2017; Zbl 1356.35077) Full Text: DOI
Wang, ZhiCheng; Li, WanTong; Ruan, ShiGui Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems. (English) Zbl 1349.35198 Sci. China, Math. 59, No. 10, 1869-1908 (2016). MSC: 35K57 35B35 35B40 PDFBibTeX XMLCite \textit{Z. Wang} et al., Sci. China, Math. 59, No. 10, 1869--1908 (2016; Zbl 1349.35198) Full Text: DOI
Wang, Zhi-Cheng; Bu, Zhen-Hui Nonplanar traveling fronts in reaction-diffusion equations with combustion and degenerate Fisher-KPP nonlinearities. (English) Zbl 1426.35138 J. Differ. Equations 260, No. 7, 6405-6450 (2016). MSC: 35K57 35C07 35B35 35B40 PDFBibTeX XMLCite \textit{Z.-C. Wang} and \textit{Z.-H. Bu}, J. Differ. Equations 260, No. 7, 6405--6450 (2016; Zbl 1426.35138) Full Text: DOI
Gui, Changfeng Symmetry of traveling wave solutions to the Allen-Cahn equation in \({\mathbb R^{2}}\). (English) Zbl 1256.35008 Arch. Ration. Mech. Anal. 203, No. 3, 1037-1065 (2012). MSC: 35C07 35B06 35K57 PDFBibTeX XMLCite \textit{C. Gui}, Arch. Ration. Mech. Anal. 203, No. 3, 1037--1065 (2012; Zbl 1256.35008) Full Text: DOI arXiv
Huang, Chih-Chiang Monostable-type travelling wave solutions of the diffusive FitzHugh-Nagumo-type system in \(\mathbb{R}^N\). (English) Zbl 1246.35160 Abstr. Appl. Anal. 2012, Article ID 735675, 9 p. (2012). MSC: 35Q35 35K57 PDFBibTeX XMLCite \textit{C.-C. Huang}, Abstr. Appl. Anal. 2012, Article ID 735675, 9 p. (2012; Zbl 1246.35160) Full Text: DOI
Sheng, Wei-Jie; Li, Wan-Tong; Wang, Zhi-Cheng Periodic pyramidal traveling fronts of bistable reaction-diffusion equations with time-periodic nonlinearity. (English) Zbl 1239.35071 J. Differ. Equations 252, No. 3, 2388-2424 (2012). Reviewer: Yaping Liu (Pittsburg) MSC: 35K57 35C07 35B10 35B35 PDFBibTeX XMLCite \textit{W.-J. Sheng} et al., J. Differ. Equations 252, No. 3, 2388--2424 (2012; Zbl 1239.35071) Full Text: DOI
Wang, Zhi-Cheng; Wu, Jianhua Periodic traveling curved fronts in reaction-diffusion equation with bistable time-periodic nonlinearity. (English) Zbl 1221.35096 J. Differ. Equations 250, No. 7, 3196-3229 (2011). Reviewer: Yaping Liu (Pittsburg) MSC: 35C07 35K58 35K15 35K57 35B10 35B35 35B40 PDFBibTeX XMLCite \textit{Z.-C. Wang} and \textit{J. Wu}, J. Differ. Equations 250, No. 7, 3196--3229 (2011; Zbl 1221.35096) Full Text: DOI