Nonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation
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AbstractIn this work, we consider the ill-posed Boussinesq equation which arises in shallow water waves and non-linear lattices. We prove that the ill-posed Boussinesq equation is nonlinearly self-adjoint. Using this property and Lie point symmetries, we construct conservation laws for the underlying equation. In addition, the generalized solitonary, periodic and compact-like solutions are constructed by the exp-function method.
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2016 ◽
Vol 40
(1)
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pp. 106-114
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1987 ◽
Vol 10
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pp. 557-562
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2018 ◽
Vol 23
(6)
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pp. 942-950
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1968 ◽
Vol 2
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pp. 249-273
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