A new symmetry approach to solve space–time‐dependent KdV systems

Ruan, Hang‐yu; Chen, Yixin

doi:10.1002/mma.445

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2010

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“…[14−17] In Ref. [17], the author proposed a new symmetry approach to solve the spacetime-dependent KdV system…”

Section: Introductionmentioning

confidence: 99%

The extended symmetry approach for studying the general Korteweg-de Vries-type equation

Zhi-fang¹,

Ruan²

2010

Chinese Phys. B

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The extended symmetry approach is used to study the general Korteweg-de Vries-type (KdV-type) equation. Several variable-coefficient equations are obtained. The solutions of these resulting equations can be constructed by the solutions of original models if their solutions are well known, such as the standard constant coefficient KdV equation and the standard compound KdV–Burgers equation, and so on. Then any one of these variable-coefficient equations can be considered as an original model to obtain new variable-coefficient equations whose solutions can also be known by means of transformation relations between solutions of the resulting new variable-coefficient equations and the original equation.

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“…[14−17] In Ref. [17], the author proposed a new symmetry approach to solve the spacetime-dependent KdV system…”

Section: Introductionmentioning

confidence: 99%