Group properties and conservation laws for nonlocal shallow water wave equation (Q648247)

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scientific article; zbMATH DE number 5976207
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Group properties and conservation laws for nonlocal shallow water wave equation
scientific article; zbMATH DE number 5976207

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    Group properties and conservation laws for nonlocal shallow water wave equation (English)
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    22 November 2011
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    The authors find the Lie symmetry vector fields of a \((1+1)\)-dimensional nonlocal shallow water wave equation. Applying these Lie symmetry vectors and a Lagrangian of the partial differential equation conservation laws are derived. Similarity solutions are also constructed from the Lie symmetry vector fields.
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    Shallow water wave equation
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    Lie symmetry vector fields
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    conservation laws
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    similarity solutions
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