Galaktionov V.A., Svirshchevskii S.R. Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics
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List of Frequently Used Abbreviations
1D – one-dimensional
AKNS – Ablowitz–Kaup–Newell–Segur
BI – Born–Infeld
CP – Cauchy problem
DS – dynamical system
FW – Fornberg–Whitham
FBP – free-boundary problem
FK – Frenkel–Kontorova
FFCH – Fuchssteiner–Fokas–Camassa–Holm
GSV – generalized separation of variables
GT – Gibbons–Tsarev
GN – Green–Naghdi
HE – heat equation
KP – Kadomtsev–Petviashvili
KFG – K´arm´an–Fal’kovich–Guderley
KS – Kuramoto–Sivashinsky
KdV – Korteweg–de Vries
KPPF – Kolmogorov–Petrovskii–Piskunov–Fisher
LL – Landau–Lifshitz
LRT – Lin–Reissner–Tsien
MP – Maximum Principle
M-A – Monge-Amp`ere
MMM – moving mesh method
ODE – ordinary differential equation
PDE – partial differential equation
PDI – partial differential inequality
PBBM – Peregrine–Benjamin–Bona–Mahoney
PME – porous medium equation
RH – Rosenau–Hyman
sdYM – self-dual Yang–Mills
SI – sign-invariant
TFE – thin film equation
TW – traveling wave
ZKB – Zel’dovich–Kompaneetz–Barenblatt
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