Rui Cao
Abstract
Accrding to homogeneous balance method,we use a new disturbance equation as solution and construct exact solutions of Kdv equation with first variable coefficients.And we obtain many new exact solutions which include periodic solutions and rational solutions.
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Accrding to homogeneous balance method,we use a new disturbance equation as solution and construct exact solutions of Kdv equation with first variable coefficients.And we obtain many new exact solutions which include periodic solutions and rational solutions.
Key concepts: Korteweg–de Vries equation, Exact solutions in general relativity, Mathematics, Variable (mathematics), Homogeneous, Variable coefficient, Mathematical analysis, Applied mathematics