# Scattering of surface water waves involving semi-infinite floating elastic plates on water of finite depth

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46 citations

### Cites background from "Scattering of surface water waves i..."

...Previously, this problem was solved by Chung & Linton (2005) for identical plates and Chakrabarti & Mohapatra (2013) for non-identical ones....

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...Energy-balance relation for non-identical plates was given by Chakrabarti & Mohapatra (2013) in the form R2 +QT2 = 1, (B 6) where Q= p0 tanh p0H cosh 2 q0H q0 tanh q0H cosh2 p0H [ 2p0H(D2p40 + 1−ΩB2)+ (5D2p40 + 1−ΩB2) sinh 2p0H 2q0H(D1q40 + 1−ΩB1)+ (5D1q40 + 1−ΩB1) sinh 2q0H ] ....

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15 citations

### Cites background from "Scattering of surface water waves i..."

...Great attention was also given to the cases when ice only partially covers the ocean surface and contains cracks, polynyas and hummocks (see Liu & Mollo-Christensen (1988), Chakrabarti & Mohapatra (2013) and Li, Wu & Shi (2019) and references therein)....

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### Cites background from "Scattering of surface water waves i..."

...The energy identity [6] relates the reflection as well as transmission coefficients associated with the scattering problem, which supports the theoretical validation of the present problem in the absence of experimental evidences....

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### "Scattering of surface water waves i..." refers background in this paper

...In this section, we consider the problem of scattering of water waves involving an ocean of finite depth having a flat rigid bottom surface, whereas the upper surface of the ocean is bounded above by a thin uniform semi-infinite elastic plate modelled as a thin elastic ice-cover (Ursell, 1947; Stoker, 1957; Weitz and Keller, 1950; Newman, 1965; Evans, 1985; Evans and Linton, 1994; Blamforth and Craster, 1999; Chakrabarti, 2000; Chung and Fox, 2002; Sahoo et al., 2001)....

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