Journal
APPLIED MATHEMATICS & INFORMATION SCIENCES
Volume 8, Issue 2, Pages 485-491Publisher
NATURAL SCIENCES PUBLISHING CORP-NSP
DOI: 10.12785/amis/080205
Keywords
solitons; integrability; conservation laws
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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.
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