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Validity and dynamics in the nonlinearly excited 6thorder phase equation
1.  University of Southern Queensland, Toowoomba, Queensland 4350, Australia, Australia 
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References:
[1] 
Dimitra Antonopoulou, Georgia Karali. A nonlinear partial differential equation for the volume preserving mean curvature flow. Networks & Heterogeneous Media, 2013, 8 (1) : 922. doi: 10.3934/nhm.2013.8.9 
[2] 
Frederic Abergel, Remi Tachet. A nonlinear partial integrodifferential equation from mathematical finance. Discrete & Continuous Dynamical Systems  A, 2010, 27 (3) : 907917. doi: 10.3934/dcds.2010.27.907 
[3] 
Luca Calatroni, Bertram Düring, CarolaBibiane Schönlieb. ADI splitting schemes for a fourthorder nonlinear partial differential equation from image processing. Discrete & Continuous Dynamical Systems  A, 2014, 34 (3) : 931957. doi: 10.3934/dcds.2014.34.931 
[4] 
Wilhelm Schlag. Spectral theory and nonlinear partial differential equations: A survey. Discrete & Continuous Dynamical Systems  A, 2006, 15 (3) : 703723. doi: 10.3934/dcds.2006.15.703 
[5] 
Barbara AbrahamShrauner. Exact solutions of nonlinear partial differential equations. Discrete & Continuous Dynamical Systems  S, 2018, 11 (4) : 577582. doi: 10.3934/dcdss.2018032 
[6] 
Avner Friedman, Harsh Vardhan Jain. A partial differential equation model of metastasized prostatic cancer. Mathematical Biosciences & Engineering, 2013, 10 (3) : 591608. doi: 10.3934/mbe.2013.10.591 
[7] 
Paul Bracken. Exterior differential systems and prolongations for three important nonlinear partial differential equations. Communications on Pure & Applied Analysis, 2011, 10 (5) : 13451360. doi: 10.3934/cpaa.2011.10.1345 
[8] 
Seyedeh Marzieh Ghavidel, Wolfgang M. Ruess. Flow invariance for nonautonomous nonlinear partial differential delay equations. Communications on Pure & Applied Analysis, 2012, 11 (6) : 23512369. doi: 10.3934/cpaa.2012.11.2351 
[9] 
Ali Hamidoǧlu. On general form of the Tanh method and its application to nonlinear partial differential equations. Numerical Algebra, Control & Optimization, 2016, 6 (2) : 175181. doi: 10.3934/naco.2016007 
[10] 
Paul Bracken. Connections of zero curvature and applications to nonlinear partial differential equations. Discrete & Continuous Dynamical Systems  S, 2014, 7 (6) : 11651179. doi: 10.3934/dcdss.2014.7.1165 
[11] 
Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofane. Solitonlike excitation in a nonlinear model of DNA dynamics with viscosity. Mathematical Biosciences & Engineering, 2008, 5 (1) : 205216. doi: 10.3934/mbe.2008.5.205 
[12] 
Roberto Camassa, PaoHsiung Chiu, Long Lee, W.H. Sheu. A particle method and numerical study of a quasilinear partial differential equation. Communications on Pure & Applied Analysis, 2011, 10 (5) : 15031515. doi: 10.3934/cpaa.2011.10.1503 
[13] 
Tuhin Ghosh, Karthik Iyer. Cloaking for a quasilinear elliptic partial differential equation. Inverse Problems & Imaging, 2018, 12 (2) : 461491. doi: 10.3934/ipi.2018020 
[14] 
Louis Tebou. Wellposedness and stabilization of an EulerBernoulli equation with a localized nonlinear dissipation involving the $p$Laplacian. Discrete & Continuous Dynamical Systems  A, 2012, 32 (6) : 23152337. doi: 10.3934/dcds.2012.32.2315 
[15] 
Moez Daoulatli, Irena Lasiecka, Daniel Toundykov. Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions. Discrete & Continuous Dynamical Systems  S, 2009, 2 (1) : 6794. doi: 10.3934/dcdss.2009.2.67 
[16] 
Jeong Ja Bae, Mitsuhiro Nakao. Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains. Discrete & Continuous Dynamical Systems  A, 2004, 11 (2&3) : 731743. doi: 10.3934/dcds.2004.11.731 
[17] 
JuanMing Yuan, Jiahong Wu. The complex KdV equation with or without dissipation. Discrete & Continuous Dynamical Systems  B, 2005, 5 (2) : 489512. doi: 10.3934/dcdsb.2005.5.489 
[18] 
Jun Zhou. Global existence and energy decay estimate of solutions for a class of nonlinear higherorder wave equation with general nonlinear dissipation and source term. Discrete & Continuous Dynamical Systems  S, 2017, 10 (5) : 11751185. doi: 10.3934/dcdss.2017064 
[19] 
Jiahui Zhu, Zdzisław Brzeźniak. Nonlinear stochastic partial differential equations of hyperbolic type driven by Lévytype noises. Discrete & Continuous Dynamical Systems  B, 2016, 21 (9) : 32693299. doi: 10.3934/dcdsb.2016097 
[20] 
Lijun Yi, Zhongqing Wang. Legendre spectral collocation method for secondorder nonlinear ordinary/partial differential equations. Discrete & Continuous Dynamical Systems  B, 2014, 19 (1) : 299322. doi: 10.3934/dcdsb.2014.19.299 
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