Lie transformations, nonlinear evolution equations, and Painlevé forms
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[1] M. Lakshmanan,et al. Similarity solutions for the Ernst equations with electromagnetic fields , 1981 .
[2] Point singularities in micromagnetic systems with radial symmetry , 1980 .
[3] Travelling waves for a model non-linear reaction-diffusion system , 1980 .
[4] Athanassios S. Fokas,et al. A symmetry approach to exactly solvable evolution equations , 1980 .
[5] G. Bluman,et al. On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)]−(∂u/∂t)=0 , 1980 .
[6] H. Flaschka. A commutator representation of Painlevé equations , 1980 .
[7] M. Ablowitz,et al. A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II , 1980 .
[8] A. Newell,et al. Monodromy- and spectrum-preserving deformations I , 1980 .
[9] R. Dodd,et al. A two-connection and operator bundles for the Ernst equation for axially symmetric gravitational fields , 1979 .
[10] M. Lakshmanan,et al. Stationary, spherically and axially symmetric spin waves in the continuum Heisenberg spin system , 1979 .
[11] K. Lonngren,et al. On the invariants of the nonlinear Schrödinger equation , 1979 .
[12] M. Lakshmanan,et al. Kadomstev-Petviashvile and two-dimensional sine-Gordon equations: reduction to Painleve transcendents , 1979 .
[13] R. Johnson. On the inverse scattering transform, the cylindrical Korteweg-De Vries equation and similarity solutions , 1979 .
[14] M. Boiti,et al. Similarity solutions of the Korteweg-de Vries equation , 1979 .
[15] M. Lakshmanan,et al. On the invariant solutions of the Korteweg-de Vries-burgers equation , 1979 .
[16] M. Ablowitz,et al. Nonlinear evolution equations and ordinary differential equations of painlevè type , 1978 .
[17] J. W. Miles,et al. On the second Painlevé transcendent , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[18] R. Rosales. The similarity solution for the Korteweg-de Vries equation and the related Painlevé transcendent , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[19] The Lie Derivative, Invariance Conditions, and Physical Laws , 1978 .
[20] B. Leroy. On the group of invariance of the (one-dimensional) sine-Gordon equation , 1978 .
[21] M. Humi. Invariant solutions for a class of diffusion equations , 1977 .
[22] Peter J. Olver,et al. Evolution equations possessing infinitely many symmetries , 1977 .
[23] Mark J. Ablowitz,et al. Exact Linearization of a Painlevé Transcendent , 1977 .
[24] C. Tracy,et al. Painlevé functions of the third kind , 1977 .
[25] W. Chester. Continuous Transformations and Differential Equations , 1977 .
[26] S. Kumei. Group theoretic aspects of conservation laws of nonlinear dispersive waves: KdV type equations and nonlinear Schrödinger equations , 1977 .
[27] W. Ames,et al. On invariant solutions of the Korteweg-deVries equation , 1974 .
[28] J. Cole,et al. Similarity methods for differential equations , 1974 .
[29] F. Estabrook,et al. Geometric Approach to Invariance Groups and Solution of Partial Differential Systems , 1971 .
[30] E. L. Ince. Ordinary differential equations , 1927 .