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- W2891946332 abstract "In this work, the rapidly convergent approximation method (RCAM) followed by appropriate modifications is applied to obtain piecewise smooth solutions and conserved quantities of a Liénard‐type equation and some important nonlinear partial differential equations reducible to former one. Explicit parameter dependence of the solution has been sensibly used to determine parameter dependence of the constant of the motion as well as the domain in the parameter space for which the piecewise smooth solution is bounded. Solution of Liénard‐type equation is then used to find piecewise smooth traveling wave solutions and corresponding conserved quantities of nonlinear Schrödinger equation. These findings affirm the efficiency of the RCAM for analytical exercise of variety of nonlinear systems of ordinary/partial differential equations appear as mathematical model of physical processes." @default.
- W2891946332 created "2018-09-27" @default.
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- W2891946332 date "2018-09-11" @default.
- W2891946332 modified "2023-10-03" @default.
- W2891946332 title "Piecewise smooth localized solutions of Liénard‐type equations with application to NLSE" @default.
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- W2891946332 doi "https://doi.org/10.1002/mma.5249" @default.
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