Two types of traveling wave solutions of a KdV-like advection-dispersion equation
نویسندگان
چکیده
We present a KdV-like 2-parameter equation ut + (3(1− δ)u+ (δ + 1)xx ux )ux = εuxxx. By using the dynamical system method, existence of different traveling wave solutions are discussed, including smooth solitary wave solution of with bell type, solitary wave solutions of valley type and peakon wave solution of valley type. Numerical integration are used to shown the different types of solutions. Mathematics Subject Classification: 35Q51, 35Q58,37K50
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