New Periodic Solutions of Nonlinear Equations Obtained by Linear Superposition
نویسندگان
چکیده
We find new periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sine-Gordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual procedure for generating solutions of nonlinear differential equations is successful as a consequence of some powerful, recently discovered, cyclic identities satisfied by the Jacobi elliptic functions. Permanent address: Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, Orissa, India 1
منابع مشابه
Periodic Solutions of Nonlinear Equations Obtained by Linear Superposition
We show that a type of linear superposition principle works for several nonlinear differential equations. Using this approach, we find periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sine-Gordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual pr...
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