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A class of nonlinear heat-type equations and their multi-wave solutions by a generalized bilinear technique.

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Title: A class of nonlinear heat-type equations and their multi-wave solutions by a generalized bilinear technique.
Authors: Liu, Jun-Rong1
Source: Modern Physics Letters B. Mar2016, Vol. 30 Issue 6, p-1. 12p.
Subjects: Heat equation, Nonlinear differential equations, Quantum superposition, Bilinear forms, Multiwave mixing
Abstract: Multi-wave resonant solutions of a class of nonlinear heat-type equations are investigated by their corresponding generalized bilinear equations. We develop a new technique for searching for resonant solutions to those generalized bilinear equations, using the idea of weights of dependent variables. The results show that generalized bilinear operators and generalized bilinear equations are powerful and irreplaceable tools for dealing with nonlinear differential equations. [ABSTRACT FROM AUTHOR]
Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 113545204
AccessLevel: 6
PubType: Academic Journal
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  Data: A class of nonlinear heat-type equations and their multi-wave solutions by a generalized bilinear technique.
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  Data: <searchLink fieldCode="DE" term="%22Heat+equation%22">Heat equation</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+differential+equations%22">Nonlinear differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+superposition%22">Quantum superposition</searchLink><br /><searchLink fieldCode="DE" term="%22Bilinear+forms%22">Bilinear forms</searchLink><br /><searchLink fieldCode="DE" term="%22Multiwave+mixing%22">Multiwave mixing</searchLink>
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  Data: Multi-wave resonant solutions of a class of nonlinear heat-type equations are investigated by their corresponding generalized bilinear equations. We develop a new technique for searching for resonant solutions to those generalized bilinear equations, using the idea of weights of dependent variables. The results show that generalized bilinear operators and generalized bilinear equations are powerful and irreplaceable tools for dealing with nonlinear differential equations. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S0217984916500676
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      – Code: eng
        Text: English
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      – SubjectFull: Heat equation
        Type: general
      – SubjectFull: Nonlinear differential equations
        Type: general
      – SubjectFull: Quantum superposition
        Type: general
      – SubjectFull: Bilinear forms
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      – SubjectFull: Multiwave mixing
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      – TitleFull: A class of nonlinear heat-type equations and their multi-wave solutions by a generalized bilinear technique.
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              Text: Mar2016
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