Exact Solutions for Coupled Variable Coefficient KdV Equation via Quadratic Jacobi’s Elliptic Function Expansion

The exact traveling wave solutions to coupled KdV equations with variable coefficients are obtained via the use of quadratic Jacobi’s elliptic function expansion. presented have a more general form than those studied in literature. Nine couples found. Each couple is symmetric mathematical form. In limit cases m→1, these periodic degenerate as corresponding soliton solutions. After simple parameter substitution, trigonometric also obtained.