Symmetries of partial differential equations : conservation laws, applications, algorithms

목차 (Table of Contents)

• CONTENTS
• PART Ⅰ (Acta Appl. Math. 15, 1-210)
• Foreword / A. M. VINOGRADOV = 1
• Symmetries and Conservation Laws of Partial Differential Equations: Basic Notions and Results / A. M. VINOGRADOV = 3
• Symmetries and Conservation Laws of Kadomtsev-Pogutse Equations (Their computation and first applications) / V. N. GUSYATNIKOVA ; A. V. SAMOKHIN ; V. S. TITOV ; A. M. VINOGRADOV ; V. A. YUMAGUZHIN = 23
• Symmetries and Conservation Laws of Navier-Stokes Equations / V. N. GUSYATNIKOVA ; V. A. YUMAGUZHIN = 65
• Symmetries, Invariant Solutions and Conservation Laws of the Nonlinear Acoustics Equation / N. O. SHAROMET = 83
• Local Noninlegrabilily of Long-Short Wave Interaction Equations / A. M. VERBOVETSKY = 121
• On Symmetries and Conservation Laws of the Equations of Shallow Water with an Axisymmetric Profile of Bottom / V. S. TITOV = 137
• On Symmetries of the Heat Equation / YU. R. ROMANOVSKY = 149
• Nonlocal Trends in the Geometry of Differential Equations: Symmetries, Conservation Laws, and B$$\ddot a$$cklund Transformations / I. S. KRASIL'SHCHIK ; A. M. VINOGRADOV = 161
• PART Ⅱ (Acta Appl. Math. 16,1-142)
• Exactly and Completely Integrable Nonlinear Dynamical Systems / A. N. LEZNOV ; M. V. SAVELIEV = 1
• Recursion and Group Structures of Soliton Equations / B. G. KONOPELCHENKO = 75
• Building of Mathematical Models of Continuum Media on the Basis of the Invariance Principle / V. O. BYTEV = 117
• PART Ⅲ (Acta Appl. Math. 16,143-242)
• Efficiently Implementing Two Methods of the Geometrical Theory of Differential Equations: An Experience in Algorithm and Software Design / A. V. BOCHAROV ; M. L. BRONSTEIN = 143
• Computations in Differential and Difference Modules / E. V. PANKRAT'EV = 167
• Reducing Systems of Linear Differential Equations to a Passive Form / V. L. TOPUNOV = 191
• Software to Compute Infinitesimal Symmetries of Exterior Differential Systems, with Applications / PAUL H. M. KERSTEN = 207
• Lie Algebra Computations / P. K. H. GRAGERT = 231