Nonlinear Phenomena pp 184-208 | Cite as

# The technique of variable separation for partial differential equations

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## Keywords

Laplace Equation Integrability Condition Helmholtz Equation Point Symmetry Separation Equation
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## References

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*R*-separation for Helmholtz equations.*J. Math. Phys.*(To appear.)Google Scholar - [18]E. G. Kalnins and W. Miller, Jr., Related evolution equations and Lie symmetries. (Submitted.)Google Scholar
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*Quantum Mechanics, Non-Relativistic Theory*. (Translated from Russian.) Addison-Wesley, 1958.Google Scholar - [20]S. Kumei and G. W. Bluman, When nonlinear differential equations are equivalent to linear differential equations.
*SIAM J. Appl. Math.***42**, 1157–1173 (1982).CrossRefGoogle Scholar - [21]E. G. Kalnins and W. Miller, Jr., Separation of variables on
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© Springer-Verlag 1983