VARIABLE-COEFFICIENT BALANCING-ACT ALGORITHM EXTENDED TO A VARIABLE-COEFFICIENT MKP MODEL FOR THE ROTATING FLUIDS
The modified Kadomtsev–Petviashvili (MKP) models describe the large-scale motion of such rotating fluids as the atmosphere and oceans. Based on the computerized symbolic computation, we in this paper extend the power of the variable-coefficient balancing-act method, which is recently proposed, to a...
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| Published in | International journal of modern physics. C, Computational physics, physical computation Vol. 12; no. 9; pp. 1383 - 1389 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
World Scientific Publishing Company
01.11.2001
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0129-1831 1793-6586 |
| DOI | 10.1142/S0129183101002681 |
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| Abstract | The modified Kadomtsev–Petviashvili (MKP) models describe the
large-scale motion of such rotating fluids as the atmosphere and
oceans. Based on the computerized symbolic computation, we in this
paper extend the power of the variable-coefficient balancing-act
method, which is recently proposed, to a variable-coefficient MKP
model. The model is re-written as a coupled set of partial
differential equations, and the algorithm is re-written
correspondingly. We obtain a new family of the soliton-like, exact
analytic solutions, beyond the traveling waves. |
|---|---|
| AbstractList | The modified Kadomtsev–Petviashvili (MKP) models describe the
large-scale motion of such rotating fluids as the atmosphere and
oceans. Based on the computerized symbolic computation, we in this
paper extend the power of the variable-coefficient balancing-act
method, which is recently proposed, to a variable-coefficient MKP
model. The model is re-written as a coupled set of partial
differential equations, and the algorithm is re-written
correspondingly. We obtain a new family of the soliton-like, exact
analytic solutions, beyond the traveling waves. The modified Kadomtsev–Petviashvili (MKP) models describe the large-scale motion of such rotating fluids as the atmosphere and oceans. Based on the computerized symbolic computation, we in this paper extend the power of the variable-coefficient balancing-act method, which is recently proposed, to a variable-coefficient MKP model. The model is re-written as a coupled set of partial differential equations, and the algorithm is re-written correspondingly. We obtain a new family of the soliton-like, exact analytic solutions, beyond the traveling waves. |
| Author | GAO, YI-TIAN TIAN, BO |
| Author_xml | – sequence: 1 givenname: YI-TIAN surname: GAO fullname: GAO, YI-TIAN email: gaoyt@public.bta.net.cn organization: Institute of Fluid Mechanics and Department of Applied Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China – sequence: 2 givenname: BO surname: TIAN fullname: TIAN, BO organization: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China |
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| CitedBy_id | crossref_primary_10_1016_j_camwa_2018_03_022 crossref_primary_10_1016_j_amc_2008_10_049 crossref_primary_10_1142_S0129183101002772 crossref_primary_10_1007_s11082_024_06792_y crossref_primary_10_1142_S0217979209052182 crossref_primary_10_1016_j_chaos_2022_112782 crossref_primary_10_1007_s10773_024_05629_4 crossref_primary_10_1016_j_cnsns_2021_106066 crossref_primary_10_1002_qua_20097 crossref_primary_10_1088_0305_4470_39_46_008 crossref_primary_10_1142_S0129183101002796 crossref_primary_10_1088_0031_8949_76_5_001 crossref_primary_10_1016_j_aml_2022_108189 crossref_primary_10_1088_0253_6102_50_5_35 crossref_primary_10_1088_0253_6102_49_3_33 |
| Cites_doi | 10.1016/0375-9601(84)90442-0 10.1088/0305-4470/22/15/009 10.1007/s100520100796 10.1103/PhysRevB.54.1279 10.1016/0375-9601(93)90291-7 10.1016/S0375-9601(99)00322-9 10.1088/0305-4470/32/20/306 10.1142/S0129183101002024 10.1002/sapm19857311 10.1142/S0129183199000899 |
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| Keywords | variable-coefficient balancing-act method Computerized symbolic computation soliton-like solutions variable-coefficient modified Kadomtsev–Petviashvili equation algorithm |
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| References | p_2 p_4 p_3 p_6 p_5 p_8 Kadomtsev B. (p_1) 1970; 15 p_7 p_10 p_9 p_11 |
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| Snippet | The modified Kadomtsev–Petviashvili (MKP) models describe the
large-scale motion of such rotating fluids as the atmosphere and
oceans. Based on the... The modified Kadomtsev–Petviashvili (MKP) models describe the large-scale motion of such rotating fluids as the atmosphere and oceans. Based on the... The modified Kadomtsev-Petviashvili (MKP) models describe the large-scale motion of such rotating fluids as the atmosphere and oceans. Based on the... |
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| Title | VARIABLE-COEFFICIENT BALANCING-ACT ALGORITHM EXTENDED TO A VARIABLE-COEFFICIENT MKP MODEL FOR THE ROTATING FLUIDS |
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