Separation of variables in two-dimensional wave equations with potential

Zhdanov, Renat; Revenko, I. V.; Fushchich, V. I.

doi:10.1007/bf01066092

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Coordinate Systems Providing Separability Of Eq(1)2

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1997

2014

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Cited by 2 publications

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“…Consequently, there exists a real constant C 0 such that the equality W 00 W 3 = C 0 (18) holds. Due to (16), (18) the equation U = 0 takes the form B 01 (! 1 ) + B 02 (!…”

Section: Coordinate Systems Providing Separability Of Eq(1)mentioning

confidence: 99%

“…Splitting as above the last equation of the system (8) with respect to t we conclude that Eq. (1) with potential (13) admits SV in coordinate system III from (9) if functions W(t); W 1 (t); W 2 (t) satisfy equations (16) and (18). With account of this fact the last equation of the system (8) takes the form…”

Section: Coordinate Systems Providing Separability Of Eq(1)mentioning

confidence: 99%

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Separation of variables in (1+2)-dimensional Schrödinger equations

Zhdanov

1997

Journal of Mathematical Physics

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“…Consequently, there exists a real constant C 0 such that the equality W 00 W 3 = C 0 (18) holds. Due to (16), (18) the equation U = 0 takes the form B 01 (! 1 ) + B 02 (!…”

Section: Coordinate Systems Providing Separability Of Eq(1)mentioning

confidence: 99%

Section: Coordinate Systems Providing Separability Of Eq(1)mentioning

confidence: 99%