首页|(?)over bar-dressing method for the nonlocal mKdV equation
(?)over bar-dressing method for the nonlocal mKdV equation
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NSTL
Elsevier
We apply the (& part;)over bar-dressing method to study nonlocal modified Korteweg-de Vries (nonlocal mKdV) equation. A spatial and a time singular spectral problems associated with nonlocal mKdV equation are derived from a local 2 x 2 matrix (& part;)over bar-equation via two linear constraint equations. A nonlocal mKdV hierarchy is proposed by using recursive operator. And the conservation laws of the nonlocal mKdV are derived by the temporal linear spectral problem. The N-solitions of the nonlocal mKdV equation are constructed still based the (& part;)over bar-equation by choosing a special spectral transformation matrix. Further the explicit one- and two-soliton solutions are obtained. The results on the mKdV equation can be recovered from the conclusion given above as special reductions. (C)& nbsp;2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier
