دانشگاه آزاد اسلامی واحد علوم و تحقیقات

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Gaillard, Pierre. (1401). Multi-lump solutions to the KPI equation with a zero degree of derivation. , 16(4), 1-8. doi: 10.30495/jtap.162238
Pierre Gaillard. "Multi-lump solutions to the KPI equation with a zero degree of derivation". , 16, 4, 1401, 1-8. doi: 10.30495/jtap.162238
Gaillard, Pierre. (1401). 'Multi-lump solutions to the KPI equation with a zero degree of derivation', , 16(4), pp. 1-8. doi: 10.30495/jtap.162238
Gaillard, Pierre. Multi-lump solutions to the KPI equation with a zero degree of derivation. , 1401; 16(4): 1-8. doi: 10.30495/jtap.162238

Multi-lump solutions to the KPI equation with a zero degree of derivation

Journal of Theoretical and Applied Physics
مقاله 7، دوره 16، شماره 4، اسفند 2022، صفحه 1-8  XML اصل مقاله (2.04 M)
نوع مقاله: Scientific Research Manuscript
شناسه دیجیتال (DOI): 10.30495/jtap.162238
نویسنده
Pierre Gaillard email
Universit ́e de Bourgogne Franche Comt ́e, Institut de math ́ematiques de Bourgogne, Dijon Cedex, France
چکیده
We construct solutions to the Kadomtsev-Petviashvili equation (KPI) by using an extended Darboux transform. From elementary functions we give a method that provides different types of solutions in terms of wronskians of order N. For a given order, these solutions depend on the degree of summation and the degree of derivation of the generating functions.
In this study, we restrict ourselves to the case where the degree of derivation is equal to 0. In this case, we obtain multi-lump solutions and we study the patterns of their modulus in the plane (x,y) and their evolution according time and parameters.
کلیدواژه‌ها
Kadomtsev Petviasvili؛ Wronskians؛ Lump
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