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Exact solitary wave and quasiperiodic wave solutions for four fifthorder nonlinear wave equations
Some new results on explicit traveling wave solutions of $K(m, n)$ equation
1.  School of Mathematical Sciences, Peking University, Beijing 100871 
[1] 
Helin Guo, Yimin Zhang, Huansong Zhou. Blowup solutions for a Kirchhoff type elliptic equation with trapping potential. Communications on Pure & Applied Analysis, 2018, 17 (5) : 18751897. doi: 10.3934/cpaa.2018089 
[2] 
István Győri, Yukihiko Nakata, Gergely Röst. Unbounded and blowup solutions for a delay logistic equation with positive feedback. Communications on Pure & Applied Analysis, 2018, 17 (6) : 28452854. doi: 10.3934/cpaa.2018134 
[3] 
C. Y. Chan. Recent advances in quenching and blowup of solutions. Conference Publications, 2001, 2001 (Special) : 8895. doi: 10.3934/proc.2001.2001.88 
[4] 
Marek Fila, Hiroshi Matano. Connecting equilibria by blowup solutions. Discrete & Continuous Dynamical Systems  A, 2000, 6 (1) : 155164. doi: 10.3934/dcds.2000.6.155 
[5] 
Petri Juutinen. Convexity of solutions to boundary blowup problems. Communications on Pure & Applied Analysis, 2013, 12 (5) : 22672275. doi: 10.3934/cpaa.2013.12.2267 
[6] 
Yongsheng Mi, Boling Guo, Chunlai Mu. Wellposedness and blowup scenario for a new integrable fourcomponent system with peakon solutions. Discrete & Continuous Dynamical Systems  A, 2016, 36 (4) : 21712191. doi: 10.3934/dcds.2016.36.2171 
[7] 
Akmel Dé Godefroy. Existence, decay and blowup for solutions to the sixthorder generalized Boussinesq equation. Discrete & Continuous Dynamical Systems  A, 2015, 35 (1) : 117137. doi: 10.3934/dcds.2015.35.117 
[8] 
Binhua Feng. On the blowup solutions for the fractional nonlinear Schrödinger equation with combined powertype nonlinearities. Communications on Pure & Applied Analysis, 2018, 17 (5) : 17851804. doi: 10.3934/cpaa.2018085 
[9] 
Min Li, Zhaoyang Yin. Blowup phenomena and travelling wave solutions to the periodic integrable dispersive HunterSaxton equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (12) : 64716485. doi: 10.3934/dcds.2017280 
[10] 
Yuta Wakasugi. Blowup of solutions to the onedimensional semilinear wave equation with damping depending on time and space variables. Discrete & Continuous Dynamical Systems  A, 2014, 34 (9) : 38313846. doi: 10.3934/dcds.2014.34.3831 
[11] 
Hristo Genev, George Venkov. Soliton and blowup solutions to the timedependent SchrödingerHartree equation. Discrete & Continuous Dynamical Systems  S, 2012, 5 (5) : 903923. doi: 10.3934/dcdss.2012.5.903 
[12] 
Min Zhu, Shuanghu Zhang. Blowup of solutions to the periodic modified CamassaHolm equation with varying linear dispersion. Discrete & Continuous Dynamical Systems  A, 2016, 36 (12) : 72357256. doi: 10.3934/dcds.2016115 
[13] 
Pablo ÁlvarezCaudevilla, V. A. Galaktionov. Blowup scaling and global behaviour of solutions of the biLaplace equation via pencil operators. Communications on Pure & Applied Analysis, 2016, 15 (1) : 261286. doi: 10.3934/cpaa.2016.15.261 
[14] 
Min Zhu, Ying Wang. Blowup of solutions to the periodic generalized modified CamassaHolm equation with varying linear dispersion. Discrete & Continuous Dynamical Systems  A, 2017, 37 (1) : 645661. doi: 10.3934/dcds.2017027 
[15] 
Min Zhu, Shuanghu Zhang. On the blowup of solutions to the periodic modified integrable CamassaHolm equation. Discrete & Continuous Dynamical Systems  A, 2016, 36 (4) : 23472364. doi: 10.3934/dcds.2016.36.2347 
[16] 
Xi Tu, Zhaoyang Yin. Local wellposedness and blowup phenomena for a generalized CamassaHolm equation with peakon solutions. Discrete & Continuous Dynamical Systems  A, 2016, 36 (5) : 27812801. doi: 10.3934/dcds.2016.36.2781 
[17] 
Haitao Yang, Yibin Chang. On the blowup boundary solutions of the Monge Ampére equation with singular weights. Communications on Pure & Applied Analysis, 2012, 11 (2) : 697708. doi: 10.3934/cpaa.2012.11.697 
[18] 
Van Duong Dinh. On blowup solutions to the focusing masscritical nonlinear fractional Schrödinger equation. Communications on Pure & Applied Analysis, 2019, 18 (2) : 689708. doi: 10.3934/cpaa.2019034 
[19] 
Ronghua Jiang, Jun Zhou. Blowup and global existence of solutions to a parabolic equation associated with the fraction pLaplacian. Communications on Pure & Applied Analysis, 2019, 18 (3) : 12051226. doi: 10.3934/cpaa.2019058 
[20] 
Xiumei Deng, Jun Zhou. Global existence and blowup of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity. Communications on Pure & Applied Analysis, 2020, 19 (2) : 923939. doi: 10.3934/cpaa.2020042 
2018 Impact Factor: 1.008
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