Xie Mao-sen
Abstract
In this paper, the nonlinear partial defferential equation (KdV equation) u_t-6uu_x+u_xxx=0 is considered, a type of explicit accurate solution for KdV equation is given by homogeneous balance method. The result obtained can be used solve other nonlinear partial differential equations.
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In this paper, the nonlinear partial defferential equation (KdV equation) u_t-6uu_x+u_xxx=0 is considered, a type of explicit accurate solution for KdV equation is given by homogeneous balance method. The result obtained can be used solve other nonlinear partial differential equations.
Key concepts: Korteweg–de Vries equation, Partial differential equation, Nonlinear system, Mathematics, Homogeneous, First-order partial differential equation, Type (biology), Differential equation