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A simple transformation for nonlinear waves. (English) Zbl 1037.35504
Summary: A transformation method is proposed to establish a relation between linear and nonlinear wave theories. We show that this transformation can be obtained from the sine-Gordon equation. This new method is simpler than the hyperbolic tangent method in solving differential equations and can be used to get more solutions to a wide class of nonlinear wave equations.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35L70Nonlinear second-order hyperbolic equations