Geodesic
EXPLICIT SOLUTION FORMULAS FOR THE MATRIX-KP
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 147-155

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DOI

We study a non-commutative version of the Kadomtsev-Petviashvili equations and construct a family of solutions generalizing naturally the soliton to the non-commutative setting. From this we derive explicit solution formulas as well for the scalar as for the matrix-Kadomtsev-Petviashvili equation which still depend on operator parameters.
DOI : 10.1017/S0017089508004862
Mots-clés : 39B42, 47J25, 37K10, 35C05 
SCHIEBOLD, CORNELIA. EXPLICIT SOLUTION FORMULAS FOR THE MATRIX-KP. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 147-155. doi: 10.1017/S0017089508004862
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     title = {EXPLICIT {SOLUTION} {FORMULAS} {FOR} {THE} {MATRIX-KP}},
     journal = {Glasgow mathematical journal},
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     year = {2009},
     volume = {51},
     number = {A},
     doi = {10.1017/S0017089508004862},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004862/}
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