Hyper-Riccati equations and integrable reductions permitting stationary solutions for complex hyperbolic field equations
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[1] J. Weiss. THE PAINLEVE PROPERTY FOR PARTIAL DIFFERENTIAL EQUATIONS. II. BACKLUND TRANSFORMATION, LAX PAIRS, AND THE SCHWARZIAN DERIVATIVE , 1983 .
[2] Van Gorder Ra. Exact solution for the self-induced motion of a vortex filament in the arc-length representation of the local induction approximation. , 2012 .
[3] J. Malmquist,et al. Sur les fonctions a un nombre fini de branches définies par les équations différentielles du premier ordre , 1913 .
[4] M. Tabor,et al. The Painlevé property for partial differential equations , 1983 .
[5] P. Ramond,et al. Field Theory: A Modern Primer , 1981 .
[6] J. Gibbon,et al. Solitons and Nonlinear Wave Equations , 1982 .
[7] J. Weiss,et al. On classes of integrable systems and the Painlevé property , 1984 .
[8] Robert A. Van Gorder,et al. Painlevé test, integrability, and exact solutions for density-dependent reaction-diffusion equations with polynomial reaction functions , 2012, Appl. Math. Comput..
[9] Milton Abramowitz,et al. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .
[10] Robert A. Van Gorder,et al. Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities , 2013, Commun. Nonlinear Sci. Numer. Simul..
[11] Nikolai A. Kudryashov,et al. Exact solutions of the generalized Kuramoto-Sivashinsky equation , 1990 .
[12] Y. Nambu. QUASI-PARTICLES AND GAUGE INVARIANCE IN THE THEORY OF SUPERCONDUCTIVITY , 1960 .
[13] R. A. Gorder. Integrable stationary solution for the fully nonlinear local induction equation describing the motion of a vortex filament , 2012 .
[14] W. Bardeen,et al. Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O($n$) Symmetric $(phi^{6}$ in Three-Dimensions) Theory , 1984 .
[15] Alfred Ramani,et al. The Painlevé property and singularity analysis of integrable and non-integrable systems , 1989 .
[16] J. Schrieffer,et al. Gauge invariance in the theory of superconductivity , 1958 .
[17] C. Gilson,et al. Factorization and Painleve analysis of a class of nonlinear third-order partial differential equations , 1995 .
[18] R. A. Gorder. Fully nonlinear local induction equation describing the motion of a vortex filament in superfluid 4He , 2012, Journal of Fluid Mechanics.
[19] S. Fubini. A new approach to conformal invariant field theories , 1976 .
[20] J. Goldstone,et al. Field theories with « Superconductor » solutions , 1961 .
[21] Nikolai A. Kudryashov,et al. Seven common errors in finding exact solutions of nonlinear differential equations , 2009, 1011.4268.
[22] N. Kudryashov,et al. EXACT SOLITON SOLUTIONS OF THE GENERALIZED EVOLUTION EQUATION OF WAVE DYNAMICS , 1988 .
[23] Nikolai A. Kudryashov,et al. On "new travelling wave solutions" of the KdV and the KdV-Burgers equations , 2009 .