4.7 Article

Solitary waves for power-law regularized long-wave equation and R(m,n) equation

Journal

NONLINEAR DYNAMICS
Volume 59, Issue 3, Pages 423-426

Publisher

SPRINGER
DOI: 10.1007/s11071-009-9548-2

Keywords

Solitons; Integrability; Integrals of motion

Funding

  1. NSF-CREST [HRD-0630388]
  2. Army Research Office (ARO) along with the Air Force Office of Scientific Research (AFOSR) [W54428-RT-ISP]

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This paper integrates the regularized long-wave equation with power-law nonlinearity using the solitary-wave ansatz. A few of the conserved quantities are calculated by using the 1-soliton solution. This technique is then extended to obtain the solitary-wave solution of the R(m,n) equation and a conserved quantity is also calculated for this generalized equation.

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