A class of nondispersive evolution equations with solitary wave solutions |
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| Authors: | A Abbas A C Bryan A E G Stuart |
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| Institution: | (1) Department of Mathematics, The City University, Northampton Square, EC1V 0HB London, England |
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| Abstract: | We present a class of nonlinear evolution equations possessing stable solitary wave solutions with a sech2 profile. These equations are related to the Korteweg-de Vries (KdV) and regularised longwave (RLW) equations, but, unlike the latter, are dispersion free in the linear limit. |
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