논문KCI 등재
Bounded Traveling Wave Solution of a Nonlinear Equation
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Abstract
Bifurcation method of dynamical systems is applied to investigate traveling waves of nonlinear equation[a(1 + bu)u ]ux + uxxx = 0with =a,= > 0. Parameter space is partitioned. Types of bounded traveling waves are shown, that is, the equation has three types of bounded traveling waves, solitary waves,periodic waves and domain wall waves. When integral constant is zero, explicit expressions of bounded traveling wave solutions are obtained.
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