Methods > Partial Differential Equations of Mathematical Physics
Partial Differential Equations of Mathematical Physics
- Polyanin, A. D. and Zhurov, A. I.,
The
von Mises transformation: order reduction
and construction of Bäcklund transformations
and new integrable equations,
EqWorld—The World of Mathematical Equations,
3 July 2009.
- Polyanin, A. D. and Zhurov, A. I.,
The Crocco transformation: order reduction
and construction of Bäcklund transformations
and new integrable equations,
arXiv:0907.3170v1 [nlin.SI], 21 July 2009.
- Polyanin, A. D., Schiesser, W. E., and Zhurov, A. I., Partial differential equations (2008), Scholarpedia, 3(10):4605.
- Hamdi, S., Schiesser, W. E., and Griffiths, G. W.,
Method of lines, (2007), Scholarpedia, 2(7):2859.
- Conte, R.,
Exact solutions of nonlinear partial differential
equations by singularity analysis, CIME School, Cetraro, 5–12 September 1999.
- Kalnins, E. G. and Miller, W.,
Variable separation in mathematical physics:
From intuitive concept to mathematical tool, 2004.
- Kosovtsov, Yu. N.,
The decomposition method and Maple procedure for finding first integrals of nonlinear PDEs of any order
with any number of independent variables,
arXiv:0704.0072v1 [math-ph], 2007.
- Nucci, M. C.,
Nonclassical symmetries as special solutions of heir-equations,
arXiv:nlin.SI/0011008v2, 31 Aug 2003.
- Olver, P. J., and Vorob'ev, E. M.,
Nonclassical and conditional symmetries, In: CRC Handbook of Lie Group
Analysis of Differential Equations, Vol. 3, N. H. Ibragimov, ed.,
CRC Press, Boca Raton, 1996, pp. 291–328.
- Polyanin, A. D., Lectures on solution methods for nonlinear partial differential equations of mathematical physics, 2004:
- Svirshchevskii, S. R.,
Invariant Linear Spaces and Exact Solutions of Nonlinear Evolution Equations, J. Nonlinear Math. Physics,
1996, Vol. 3, No. 1-2, pp. 164-169.
- Teodorovich, E. V.,
The renormalization-group method in problems of mathematical physics, J. Appl. Maths Mechs,
2004, Vol. 68, No. 2, pp. 299-326.
- Tychynin, V., Petrova, O., and Tertyshnyk, O.,
Nonlocal symmetries and genaration of solutions for partial differential equations,
arXiv:math-ph/0702033v1, 9 Feb 2007.
Handbook of Nonlinear Partial Differential Equations, Second Edition
Handbook of Nonlinear Partial Differential Equations
Symmetry and Integration Methods for Differential Equations, 2nd Edition
Handbook of Mathematics for Engineers and Scientists
Equivalence, Invariants, and Symmetry
Mathematical Aspects of Numerical Solution of Hyperbolic Systems
Symmetry Methods for Differential Equations: A Beginner's Guide
Adaptive Method of Lines
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