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We develop two integrable shallow water wave equations, of higher-dimensions where multiple soliton solutions and a class of lump solutions are derived. We employ the simplified Hirota's method and lump technique. The work reports new Painleve integrable shallow water waves equations.

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This page is a summary of: New integrable (2+1)- and (3+1)-dimensional shallow water wave equations: multiple soliton solutions and lump solutions, International Journal of Numerical Methods for Heat &amp Fluid Flow, May 2021, Emerald,
DOI: 10.1108/hff-01-2021-0019.
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