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Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3682-z
Abstract: The residual symmetry is obtained for the negative-order modified KdV (nmKdV) equation from the truncated PainlevĂ© expansion by using symbolic computation. The multiple residual symmetries are presented and localized by introducing auxiliary variables, and then,…
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Keywords:
order modified;
modified kdv;
equation;
cklund transformation ... See more keywords
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Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2929682
Abstract: In this paper, we seek analytical solutions of the higher-order modified Boussinesq equation by two different systematic techniques. Employing the exp $(-\psi (z))$ -expansion method, exact solutions of the mentioned equation, including hyperbolic, exponential, trigonometric,…
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Keywords:
boussinesq equation;
higher order;
equation;
modified boussinesq ... See more keywords