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arxiv: 0709.2018 · v1 · submitted 2007-09-13 · 🧮 math-ph · math.MP

On conversion of high-frequency soliton solutions to a (1+1)-dimensional nonlinear evolution equation

classification 🧮 math-ph math.MP
keywords equationdimensionalevolutionhigh-frequencynonlinearsolutionsconversiondepending
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We derive a (1+1)-dimensional nonlinear evolution equation (NLE) which may model the propagation of high-frequency perturbations in a relaxing medium. As a result, this equation may possess three typical solutions depending on a dissipative parameter.

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