TY - JOUR
T1 - Exact solutions of a variable-coefficient KdV equation arising in a shallow water
AU - Dai, Hui-Hui
PY - 1999/6/15
Y1 - 1999/6/15
N2 - This paper studies a variable-coefficient KdV (vcKdV) equation arising in a shallow water. For a practically acceptable water bottom, we find that it can be transformed into the cylindrical KdV equation. As a result, several exact bounded solutions are obtained. One of the solutions has the shape of a solitary wave with a shelf behind, which confirms approximate analytical and numerical results in the literature.© 1999 The Physical Society of Japan
AB - This paper studies a variable-coefficient KdV (vcKdV) equation arising in a shallow water. For a practically acceptable water bottom, we find that it can be transformed into the cylindrical KdV equation. As a result, several exact bounded solutions are obtained. One of the solutions has the shape of a solitary wave with a shelf behind, which confirms approximate analytical and numerical results in the literature.© 1999 The Physical Society of Japan
KW - Cylindrical KdV equation
KW - Shallow-water waves
KW - Variable-coefficient KdV equation
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U2 - 10.1143/JPSJ.68.1854
DO - 10.1143/JPSJ.68.1854
M3 - RGC 21 - Publication in refereed journal
SN - 0031-9015
VL - 68
SP - 1854
EP - 1858
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 6
ER -