2003
DOI: 10.1142/s0129183103005340
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Abstract: The forced Burgers equation works as a testing ground for a real turbulence, and as the qualitative model for a wide variety of problems including charge density waves, vortex lines in superconductors, disordered solids and epitaxial growth, etc. Its variable-coefficient generalizations call for better modeling of the physical situations. In this paper, we investigate a variable-coefficient generalization of the forced Burgers equation, and obtain several sets of exact soliton-like and other exact analytic sol… Show more

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Cited by 7 publications
(13 citation statements)
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“…Differing from the N-shock-wave solutions obtained by the bilinear transformation method in [8,9,11], families (37) and (42) are both real and contain several arbitrary functions which result from the reduction of space dimensionality. For these two families, we would like to concentrate ourselves on the non-traveling-wave effects caused by the arbitrary functions and inelastic interaction of shock waves.…”
Section: Discussion and Summarymentioning
confidence: 99%
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“…Differing from the N-shock-wave solutions obtained by the bilinear transformation method in [8,9,11], families (37) and (42) are both real and contain several arbitrary functions which result from the reduction of space dimensionality. For these two families, we would like to concentrate ourselves on the non-traveling-wave effects caused by the arbitrary functions and inelastic interaction of shock waves.…”
Section: Discussion and Summarymentioning
confidence: 99%
“…The detailed application of families (37) and (42) requires a judicious choice of the free parameters and functions involved in the solutions [37]. Hereby for the picture drawing and qualitative analysis, we choose some values for those parameters and functions in line with the nonuniform background, non-traveling-wave features in the two multi-dimensional Burgers equations.…”
Section: Discussion and Summarymentioning
confidence: 99%
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