This paper obtains solitary waves, shock waves and singular solitons alon with conservation laws of the Rosenau Kortewegde Vries regularized long wave (R-KdV-RLW) equation with power law nonlinearity that models the dynamics of shallow water waves. The ansatz approach and the semi-inverse variational principle are used to obtain these solutions. The constraint conditions for the existence of solitons are also listed.
Digital Object Identifier (DOI)
Razborova, Polina; Ahmed, Bouthina; and Biswas, Anjan
"Solitons, Shock Waves and Conservation Laws of Rosenau-KdV-RLW Equation with Power Law Nonlinearity,"
Applied Mathematics & Information Sciences: Vol. 08
, Article 5.
Available at: https://dc.naturalspublishing.com/amis/vol08/iss2/5