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Computing exact solutions for some fifth KdV equations with forcing term. (English) Zbl 1160.35526
Summary: The extended tanh method is used to construct generalized soliton solutions, periodic solutions and rational solutions for the Sawada-Kotera and Lax equations with forcing term.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
35B10 Periodic solutions to PDEs
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[1] Chen, Y.; Li, B., General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order, Chaos solitons fractals, 19, 977-984, (2004) · Zbl 1057.35051
[2] Gómez, C.A., Special forms of the fifth-order KdV equation with new periodic and soliton solutions, Appl. math. comput., 189, 1066-1077, (2007) · Zbl 1122.65393
[3] Lax, P.D., Integrals of non-linear equations of evolution and solitary waves, Comm. pure appl. math., 21, 467-490, (1968) · Zbl 0162.41103
[4] Salas, A.H., Some solutions for a type of generalized sawada – kotera equation, Appl. math. comput., 196, 2, 812-817, (2008) · Zbl 1132.35461
[5] Sawada, K.; Kotera, T., A method for finding N-soliton solutions of the KdV and KdV like equation, Prog. theor. phys., 51, 1355-1367, (1974) · Zbl 1125.35400
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