Algebraic Approaches to Partial Differential Equations
DOI10.1007/978-3-642-36874-5zbMath1273.35009arXiv1205.6535OpenAlexW1871218226MaRDI QIDQ4913585
Publication date: 8 April 2013
Full work available at URL: https://arxiv.org/abs/1205.6535
Jacobi polynomialsCalogero-Sutherland modelKP equationhypergeometric functionDavey-Stewartson equationsLegendre polynomialBoussinesq systemJacobi's elliptic functionsWeierstrass's elliptic functionsKhokhlov and Zabolotskaya equation
KdV equations (Korteweg-de Vries equations) (35Q53) Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) Explicit solutions, first integrals of ordinary differential equations (34A05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Solutions to PDEs in closed form (35C05) Elliptic functions and integrals (33E05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Higher logarithm functions (33B30) Traveling wave solutions (35C07) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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