论文信息 - SECH-POLYNOMIAL TRAVELLING SOLITARY-WAVE SOLUTIONS OF ODD-ORDER GENERALIZED KDV EQUATIONS

SECH-POLYNOMIAL TRAVELLING SOLITARY-WAVE SOLUTIONS OF ODD-ORDER GENERALIZED KDV EQUATIONS

Abstract A (2 m + 1)th-order generalized KdV equation is considered, where m is a positive integer. Four new explicit travelling solitary-wave solutions are obtained for the case m = 4. The case of arbitrary m ≥ 3 is considered; it is shown that, subject to certain restrictions on the coefficients in the equation, there are always at least two sech-polynomial type solutions.

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