Existence and nonexistence of solitary wave solutions to higher-order model evolution equations
SIAM Journal on Mathematical Analysis
Symbolic computation of conserved densities for systems of nonlinear evolution equations
Journal of Symbolic Computation
Compactons in a class of nonlinear dispersive equations
Mathematical and Computer Modelling: An International Journal
Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
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In this work, the (2+1)-dimensional Konopelchenko-Dubrovsky (KD) equation is studied. The tanh-sech method, the cosh-sinh method and exponential functions method are efficiently employed to handle this equation. By means of these methods, the solitary wave, periodic wave and kink solutions are formally obtained.