Applications of symmetry methods to partial differential equations
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Publication:1030569
DOI10.1007/978-0-387-68028-6zbMath1223.35001OpenAlexW1506397612MaRDI QIDQ1030569
George W. Bluman, Alexei F. Cheviakov, Stephen C. Anco
Publication date: 2 July 2009
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-0-387-68028-6
Invariance and symmetry properties for PDEs on manifolds (58J70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Symmetries, invariants, etc. in context of PDEs (35B06)
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Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations ⋮ Symmetry group and numerical study of non-Newtonian nanofluid transport in a porous medium with multiple convective boundary and nonlinear radiation ⋮ On the construction of conservation laws: A mixed approach ⋮ Conserved norms and related conservation laws for multi-peakon equations ⋮ Approximate symmetry analysis of nonlinear Rayleigh-wave equation ⋮ Geometry of the curved traversable wormholes of (3 + 1)-dimensional spacetime metric ⋮ Group classification of systems of diffusion equations ⋮ Approximate symmetry and solutions of the nonlinear Klein–Gordon equation with a small parameter ⋮ On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions ⋮ Traveling waves and conservation laws for complex mKdV-type equations ⋮ Geodesic models generated by Lie symmetries ⋮ Symmetry operators and exact solutions of a type of time-fractional Burgers–KdV equation ⋮ Automorphic Systems and Differential-Invariant Solutions ⋮ An Extended Discontinuous Galerkin Framework for Multiphase Flows ⋮ New scaling laws of passive scalar with a constant mean gradient in decaying isotropic turbulence ⋮ SYMMETRY AND CONSERVATION LAW CLASSIFICATION AND EXACT SOLUTIONS TO THE GENERALIZED KdV TYPES OF EQUATIONS ⋮ Unnamed Item ⋮ On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation ⋮ The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers' equations ⋮ Symmetry analysis of a heat conduction model for heat transfer in a longitudinal rectangular fin of a heterogeneous material ⋮ On the existence of conservation law multiplier for partial differential equations ⋮ Group analysis of the Novikov equation ⋮ The group classification of Lane-Emden systems ⋮ Discrete shallow water equations preserving symmetries and conservation laws ⋮ Двойственные задачи плоских ползущих течений степенной несжимаемой среды ⋮ Group analysis, nonlinear self-adjointness, conservation laws, and soliton solutions for the mKdV systems ⋮ CONSERVATION LAWS AND SYMMETRY ANALYSIS OF (1+1)-DIMENSIONAL SAWADA-KOTERA EQUATION ⋮ Lump Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations* ⋮ Групповая классификация, инвариантные решения и законы сохранения нелинейного двумерного ортотропного уравнения фильтрации с дробной производной Римана-Лиувилля по времени ⋮ New symmetry-induced scaling laws of passive scalar transport in turbulent plane jets ⋮ Symmetry structure of multi-dimensional time-fractional partial differential equations ⋮ Unnamed Item ⋮ Noether currents for the Teukolsky master equation ⋮ Statistical symmetries and its impact on new decay modes and integral invariants of decaying turbulence ⋮ Conservation laws and symmetries of quasilinear radial wave equations in multi-dimensions ⋮ Complete group classification of a class of nonlinear wave equations ⋮ SYMMETRY ANALYSIS, ANALYTICAL SOLUTIONS AND CONSERVATION LAWS OF A GENERALIZED KdV–BURGERS–KURAMOTO EQUATION AND ITS FRACTIONAL VERSION ⋮ Travelling wave solutions of a one-dimensional viscoelasticity model ⋮ Lie symmetry analysis of (2+1)-dimensional KdV equations with variable coefficients
Uses Software
